WELCOME

PLENARY TALK 1 - Ofer Aharony Loops in AdS from conformal field theory "Gauge/gravity duality is often used to compare classical results on the gravity side to leading large-N results in quantum field theory. At higher orders,perturbative loop corrections to the classical gravity results map to 1/Ncorrections to the field theory. We show how crossing symmetry constrains thismapping, and allows a direct conformal field theory computation of loop diagramsin anti-de Sitter space."

INVITED TALK 1: Jerome Gauntlett Title: Black Holes and Thermoelectric Transport In seeking possible applications of holography to real materials the thermoelectric conductivity is an important observable to study. Like the entropy we explain how the DC conductivity can be obtained in terms of the behaviour of black hole spacetimes purely at the horizon. More precisely, we show that the DC conductivity can be obtained by solving a generalised set of Navier-Stokes equations for a fluid living on the black hole horizon. Unlike other connections between fluids and black holes, this is an exact result. We discuss the new extension from two derivative theories of gravity to higher derivative theories.?We also show that CFTs (not just holographic) with spatially periodic temperature gradients and strains can exhibit the novel phenomenon of thermal backflow, in which heat currents locally flow in the opposite direction to that of an applied DC source.

Talk 1: Natalia Pinzani Fokeeva Title: Dissipative hydrodynamics from effective field theory I will provide a first principle formulation of an effective field theory for hydrodynamics. The key feature is the underlying Schwinger-Keldysh partition function and its symmetries which can be implemented using superspace techniques. I will also show how a conserved entropy current arises naturally in this formalism.

Talk 2: Ioannis Papadimitriou Title: AdS_2 holography and non-extremal black holes I will present aspects of AdS_2 holography for a specific Einstein-Maxwell-Dilaton model that is obtained by Kaluza-Klein reduction from pure AdS_3 gravity with negative cosmological constant. In particular, I will derive the one-dimensional holographic dual for both running and constant dilaton solutions, and I will discuss the connection with the Sachdev-Ye-Kitaev model. Finally, I will explain how this dilaton gravity model provides a holographic description for four-dimensional asymptotically conformally AdS_2 x S^2 non-extremal black holes. The talk is based on the recent paper https://arxiv.org/abs/1608.07018. NOTE: Topic of talk may change

Talk 3: Ayan Mukhopadhyay Title: Thermalisation of holographic Schwinger-Keldysh correlation functions Although time-dependence of one-point functions such as the energy-momentum tensor (eg. evolution towards hydrodynamic behavior) is well studied in holography, much less is known about nonequilibrium time-evolution of n-point holographic correlations. We will present simple methods for studying the time-evolution of unequal-time commutators and anti-commutators of local operators (i.e. study their dependence on their average time coordinate) in holography for arbitrary nonequilibrium states. Thermalisation is defined as evolution towards satisfaction of fluctuation-dissipation relation between the Wigner transformed commutator and the anti-commutator, both of which are measurable separately in solid-state and ultracold atomic systems. We will provide evidence that patterns of holographic thermalisation of two-point Schwinger-Keldysh correlations can be classified using parameters analogous to the Reynolds' number used in case of hydrodynamic flows. In a simple example, we will explicitly show that by changing the quenching rate we obtain three different qualitative evolutions. Finally, we will discuss how we can develop quantum kinetic theory at strong coupling from our results using standard methods and propose new experiments.

INVITED TALK 2: Matthias Gaberdiel Title: BPS states in AdS_3 x S^3 x S^3 x S^1 The BPS spectrum of string theory on AdS_3 x S^3 x S^3 x S^1 is determined using a world-sheet description in terms of WZW models. It is found that the theory only has BPS states with j^+ = j^- where j^{\pm} refer to the spins of the two su(2) algebras of the large N=4 superconformal algebra. We then re-examine the BPS spectrum of the corresponding supergravity and find that, in contradistinction to previous claims in the literature, also in supergravity only the states with j^+=j^- are BPS. This resolves a number of long-standing puzzles regarding the BPS spectrum of string theory and supergravity in this background. [This is based on joint work with Lorenz Eberhardt, Rajesh Gopakumar and Wei Li.]

INVITED TALK 3: Romuald Janik Title: The String Field Theory vertex, gluing and wrapping I will review recent work done on the string field theory vertex from integrability emphasizing the relation of the decompactified case to the exact finite volume answer in the case of the pp-wave. I will show parallels with other observables in integrable field theories.

WG1 OVERVIEW - Johanna Erdmenger prova

WG1 Discussion - Chair Johanna Erdmenger

PLENARY TALK 2: Chris Hull Title: Strings, Fields and Geometry

INVITED TALK 4: Yolanda Lozano Title: Linear quivers and non-Abelian T-duals Non-Abelian T-duality has been very successfully applied in recent years as a solution generating technique in the AdS/CFT context. Its realization in the CFT side of the correspondence remains however still poorly understood. In this talk we will propose linear quivers realized in known brane set-ups as field theory duals of certain AdS backgrounds constructed through non-Abelian T-duality

Talk 4: Simone Giacomelli Title: T-branes, monopole operators and S-duality T-branes are exotic bound states of D-branes, characterized by mutually non-commuting vacuum expectation values for the worldvolume scalars. We study T-branes in M-theory by probing the geometry with an M2-brane, finding that the effect of a T-brane is to deform the membrane worldvolume superpotential with monopole operators. The dynamics of the resulting theory can be studied using a dual description involving conventional superpotential terms and (the dimensional reduction of) class S trinion theories. The S-dual description of N=2 SU(N) SQCD with 2N flavors in four dimensions plays a crucial role in our construction.

Talk 5: Fabio Apruzzi Title: 2D theories from F-theory and 6D SCFTs Compactifications of the physical superstring to two dimensions provide a general template for realizing 2D conformal field theories coupled to worldsheet gravity, i.e. non-critical string theories. Motivated by this, I will describe how to determine the 2D (0,2) theory upon compactification of Heterotic and Type I on a Calabi-Yau fourfold and F-theory on an elliptically fibered Calabi-Yau fivefold. From another point of view, I will also illustrate the 2D theories obtained by 6D SCFTs compactified on a four-manifold, which can be seen as coming from F-theory on a particular class of Calabi-Yau fivefolds. Doing so, one generates a large class of novel 2D quantum field theories. This new prospective will allow us to describe the interacting Largangian and non-Lagrangian sectors of the theory (DGLSM).

Talk 6: Adolfo Guarino Title: Double Field Theory at SL(2) angles In this talk I will present an extended field theory that captures the full SL(2) x O(6,6+n) duality group of N=4 supergravity in four dimensions. Making use of the SL(2) structure, I will show how to generate gaugings at SL(2) angles via generalised Scherk-Schwarz ansätze. Such gaugings allow for moduli stabilisation including the SL(2) dilaton.

General interest talk - Alessandro Nagar Title: "Gravitational waves from coalescing compact binaries: interfacing analytical and numerical approaches" "The direct detection by the LIGO detectors of the gravitational waves emitted by a coalescing black hole binaries (GW150914 and GW151226) has marked the beginning of gravitational wave (GW) astronomy. In the first part of the talk, I will review the recent experimental result and remind the basics elements of gravitational wave theory, focusing on the qualitative structure of the GW signal emitted by a coalescing binary (either made by two black holes or two neutron stars). In the second part of the talk, I will introduce the state-of-the-art analytical effective-one-body (EOB) approach to the general-relativistic two-body dynamics, its completion using numerical relativity (NR) simulations of (spinning) coalescing black hole binaries and its necessity to compute the (thousands of) analytical waveform templates needed for the actual data analysis of GW events like GW150914 and GW151226. Such theoretical interplay between analytical methods and numerical simulations is the key ingredient behind our interpretation of these events as a binary black hole coalescences."

PLENARY TALK 3: Marika Taylor Title: New results on non-AdS holography

INVITED TALK 5: Henning Samtleben Title: Exceptional field theories and what we can do with them Exceptional field theories are the manifestly duality covariant formulations of supergravity that have proven powerful in addressing various problems in supergravity theories. I review the framework and the construction of these theories. Among their applications I discuss consistent truncations of (super)gravity, higher dimensional origins of dyonic gauged supergravities, and generalised type II supergravity.

Gongshow

PLENARY TALK 4: Simone Giombi Title: On the spectrum of CFTs with weakly broken higher-spin symmetry I will overview some recent results in conformal field theories whose spectrum includes towers of nearly conserved higher spin operators. Examples are bosonic and fermionic vector models in the large N or epsilon expansions. Such models are AdS/CFT dual to higher-spin gravity theories in AdS where the higher-spin symmetry is broken by quantum effects.

INVITED TALK 6: Jan de Boer Title: Comments on the spectrum of conformal field theories in d>2

WG3 OVERVIEW - Roberto Emparan

WG3 Discussion - Chair Roberto Emparan

PLENARY TALK 5: Sakura Schafer-Nameki Title: M5-branes and N=4 with varying Coupling

INVITED TALK 7: Gabriele Honecker Title: Deformations, Moduli Stabilisation and Loop-Corrected Gauge Couplings for Particle Physics on D-Branes MSSM and GUT spectra on D-branes in toroidal orbifold backgrounds provide a class of string vacua, where geometric properties and their effects on physical couplings can be studied in detail. I will discuss how twisted deformation moduli are stabilised by the mere presence of D-branes, while others appear as flat directions, on which tree-level gauge couplings can depend. Their effects have to be weighted against the one-loop threshold corrections to gauge couplings, whose size in turn depends on Kähler moduli, which under certain conditions can give rise to LARGE volumes.

Talk 7: Magdalena Larfors Title: Infinitesimal moduli of G2 holonomy manifolds with instanton bundles I will describe the infinitesimal moduli space of pairs (Y,V) where Y is a manifold with G2 holonomy, and V is a vector bundle on Y with an instanton connection. These structures arise in connection to the moduli space of heterotic string compactifications on compact and non-compact seven dimensional spaces, e.g. domain walls. I will show that the presence of V restricts the geometric deformations of Y to lie in the kernel of a ``G2 Atiyah map", a concept I will explain. I will comment on the resemblance with the holomorphic Atiyah algebroid that arises in heterotic N=1 compactifications, and connect the story to physics, in particular to heterotic compactifications on (Y,V) when α′=0.

Talk 8: Erik Plauschinn Title: Partial SUSY Breaking for Asymmetric Gepner Models and Non-geometric Flux Vacua Asymmetric Gepner models of type IIB string theory with N=1 space-time supersymmetry are constructed. The combinatorics of the massless sector suggests, that these classical Minkowski vacua provide fully backreacted solutions corresponding to N=1 minima of N=2 gauged supergravity. They include, in particular, Calabi-Yau compactifications with so-called non-geometric fluxes.

Talk 9: Pietro Longhi Title: Wall Crossing Invariants from Spectral Networks New relations between wall crossing invariants, such as the BPS monodromy, and various limits of superconformal indices of 4d N=2 theories have been recently proposed. For theories of class S on their Coulomb branches, spectral networks provide a way to compute BPS monodromies directly, in a neighborhood of the superconformal point. Several new results on BPS monodromies can be obtained in this way, bringing new insights into these correspondences.

WG2 Discussion - Chair Michela Petrini

Gongshow

WG5 OVERVIEW - Marian Lledò

Social Dinner

PLENARY TALK 6: Gianguido Dall'Agata Title: Non-linear realizations of local supersymmetry I will review recent developments on the construction of supergravity theories where supersymmetry is non-linearly realized and their use in inflationary cosmology.

INVITED TALK 8: Geoffrey Compère Title: The E7 black hole entropy I will first review the construction of the most general non-extremal single center black hole of N=8 supergravity. Its seed is a black hole with 5 independent electromagnetic charges. The appropriate setting to describe the seed solution is the STU model with SO(4,4) hidden symmetries. Some properties of the black hole will be described such as the existence of two regular extremal limits, the presence of a conformal Killing tensor and a mysterious entropy product formula. I will then describe the construction of an E7 invariant which allows to express the black hole entropy.

Talk 10: Alessandra Gnecchi Title: BPS black holes in gauged Supergravity: electric-magnetic duality and thermodynamic properties After reviewing the properties of BPS black holes in Supergravity I will discuss how the requirement of Anti de Sitter asymptotics modify the supersymmetric flow, in relation to their electric and magnetic charges. I will then describe the holographic renormalization needed to construct physical quantities for black holes in AdS at generic temperature in presence of scalar and vector fields, and thus conclude with the discussion of their thermodynamics.

Talk 11: David Turton Title: Smooth horizonless geometries deep inside the black-hole regime The study of black hole microstates in string theory is an important problem, which offers the potential to resolve the information paradox. I will present the first family of horizonless supergravity solutions that have the same mass, charges and angular momenta as general supersymmetric rotating D1-D5-P black holes in five dimensions. This family includes solutions with arbitrarily small angular momenta, deep within the regime of quantum numbers and couplings for which a large classical black hole exists. These geometries are well-approximated by the black hole solution, and in particular exhibit the same near-horizon throat. I will also discuss the physics of an observer falling into a black hole.

Talk 12: Chiara Toldo Title: Black holes with halos I will discuss the features of a class of newly discovered AdS4 black hole solutions solutions arising from M-theory on 7d Sasaki-Einstein coset manifolds. Such thermal black holes are characterized in particular by charged scalars and a massive vector field halo. The analysis of the stability of probes in such a background gives insight on the possible existence of stable of multi-center black holes in anti-de Sitter, relevant for the holographic description of the glass phase transition. (suitable either for gong show or talk)

PLENARY TALK 7: Sameer Murthy Title: Quantum black holes: from macroscopics to microscopics in string theory.

PLENARY TALK 8: Jan Louis Title: Supersymmetric AdS backgrounds and their moduli spaces

COST Closure