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SUMMARY:Spinning the fuzzy sphere
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UID:indico-contribution-72097-856538@indico.cern.ch
DESCRIPTION:Speakers: David Berenstein (UCSB)\nWe construct various exact
analytical solutions of the $SO(3)$ BMN matrix model that correspond to ro
tating fuzzy\n spheres and rotating fuzzy tori. After an appropriate ansat
z\, we reduce the problem to solving a set of polynomial equations\nin $2N
$ real variables. These equations have a discrete set of solutions for eac
h value of the angular momentum. We study the phase structure of the solut
ions for various values of $N$\, as well as the large $N$ limit. In this l
imit the problem reduces to finding periodic solutions of a set of coupled
non-linear differential equations with a fixed period. We also study the
topology change transition from the sphere to the torus.\n\nhttps://indico
.cern.ch/event/361123/contributions/856538/
LOCATION:Alumni Cener East Partition
URL:https://indico.cern.ch/event/361123/contributions/856538/
END:VEVENT
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SUMMARY:Phenomenology of fundamental spinons
DTSTART;VALUE=DATE-TIME:20150807T191500Z
DTEND;VALUE=DATE-TIME:20150807T193500Z
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UID:indico-contribution-72097-856364@indico.cern.ch
DESCRIPTION:Speakers: Roland Allen (Texas A&M University)\nIn condensed ma
tter physics\, the theory of spin–charge separation dates back to the 19
50 paper of Tomonaga [1]\, but experimental confirmation required almost a
half century [2-4]. Here we consider the possibility of a similar phenome
non — inspired in part by the reality of Higgs bosons [5\,6] and therefo
re of at least one Higgs condensate — which would potentially be observ
able in Run 2 of the LHC. The qualitative phenomenology is simple: These f
undamental spinons would carry only angular momentum (as spin 1/2 particle
s) plus energy and momentum\, with no charge of any kind\, so they must be
detected as e.g. missing transverse momentum. They could be produced in v
irtual processes\, such as the decay of virtual Z bosons\, or real process
es\, such as emission from W bosons\, but always involving vector bosons i
n the presence of a Higgs condensate. Their masses are undetermined by the
theory (just as was the mass of the observed Higgs)\, but the mass of a s
pinon pair must exceed the mass of a Z boson\, since the decay of real Z b
osons is completely explained by Standard Model particles. Here we will ma
ke no attempt to justify the theory from which the prediction of these spi
nons emerges [7] (which has many compelling features but requires the intr
oduction of a very large number of novel ideas). The important fact is tha
t the theory does lead to this prediction of new particles which are in pr
inciple observable in the foreseeable future\, as well as various other pr
edictions — since it cannot even be formulated without supersymmetry\,
SO(N) grand unification\, or vanishing of the usual cosmological constant\
, and since the simplest version of the theory leads to a self-coupling of
the Higgs field whose unrenormalized value is nearly zero. Since the spin
ons proposed here are closely related to the Higgs\, it may be worthwhile
to establish historical context: After the electron was discovered in 1897
\, and the photon was introduced by Einstein in 1905\, the richness of beh
avior associated with spin 1/2 fermions and spin 1 gauge bosons emerged sl
owly during the following decades. More than a century later\, the third k
ind of Standard Model particle\, with spin 0\, has finally been discovered
\, and one should not be completely surprised if some of its implications
are yet to be determined.\n\n[1] S. Tomonaga\, “Remarks on Bloch's metho
d of sound waves applied to many-fermion problems”\, Prog. Theor. Phys.
5\, 544 (1950).\n\n[2] C. Kim\, A. Y. Matsuura\, Z.-X. Shen\, N. Motoyama\
, H. Eisaki\, S. Uchida\, T. Tohyama\, and S. Maekawa\, “Observation of
Spin-Charge Separation in One-Dimensional SrCuO2”\, Phys. Rev. Lett. 77
4054 (1996).\n\n[3] B.J. Kim\, H. Koh\, E. Rotenberg\, S.-J. Oh\, H. Eisak
i\, N. Motoyama\, S. Uchida\, T. Tohyama\, S. Maekawa\, Z.-X. Shen\, and C
. Kim\, "Distinct spinon and holon dispersions in photoemission spectral f
unctions from one-dimensional SrCuO2”\, Nature Physics 2\, 397 (2006).\n
\n[4] Y. Jompol\, C. J. B. Ford\, J. P. Griffiths\, I. Farrer\, G. A. C. J
ones\, D. Anderson\, D. A. Ritchie\, T. W. Silk\, A. J. Schofield\, “Pro
bing Spin-Charge Separation in a Tomonaga-Luttinger Liquid”\, Science 32
5\, 597 (2009).\n\n[5] ATLAS Collaboration\, “Observation of a new parti
cle in the search for the Standard Model Higgs boson with the ATLAS detect
or at the LHC”\, Phys. Lett. B716\, 1 (2012)\, arXiv:1207.7214 [hep-ex].
\n\n[6] CMS Collaboration\, “Observation of a new boson at a mass of 125
GeV with the CMS experiment at the LHC”\, Phys. Lett. B716\, 30 (2012)\
, arXiv:1207.7235 [hep-ex].\n\n[7] R. E. Allen\, “Predictions of a funda
mental statistical picture”\, arXiv:1101.0586 [hep-th].\n\nhttps://indic
o.cern.ch/event/361123/contributions/856364/
LOCATION:Alumni Center East Partition
URL:https://indico.cern.ch/event/361123/contributions/856364/
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SUMMARY:Thermalization in the D1D5 Black Hole
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DTEND;VALUE=DATE-TIME:20150807T211000Z
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UID:indico-contribution-72097-856264@indico.cern.ch
DESCRIPTION:Speakers: Zaq Carson (The Ohio State University)\nThe traditio
nal picture of a black hole as a point-like singularity with no structure
at the horizon is known to emit Hawking radiation in a non-unitary fashion
. The fuzzball proposal attempts to resolve this dilemma by treating the
black hole as a large bound string state with structure at the horizon and
a "bubble of nothing" in the interior. There has been much success in ma
tching the microscopic structure of this model with known results from bla
ck hole thermodynamics\, though a detailed description of black hole forma
tion has not yet been found. As a step towards this\, we look at the proc
ess of an infalling quanta reaching the black hole and thermalizing\, allo
wing it to be re-emitted later as low-energy Hawking radiation.\n\nhttps:/
/indico.cern.ch/event/361123/contributions/856264/
LOCATION:Alumni Cener East Partition
URL:https://indico.cern.ch/event/361123/contributions/856264/
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SUMMARY:Geometric constraints on the space of $\\mathcal{N}=2$ SCFTs
DTSTART;VALUE=DATE-TIME:20150807T180000Z
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UID:indico-contribution-72097-856186@indico.cern.ch
DESCRIPTION:Speakers: Matteo Lotito (University of Cincinnati)\nWe present
a classification of 4d rank 1 $\\mathcal{N}=2$ SCFTs\, based on a geometr
ical analysis of the Coulomb Branches of these theories\, i.e.\, their mod
uli space of vacua.\n\nSupersymmetry and the residual $U(1)$ gauge symmetr
y on the Coulomb Branch allow us to determine some constraints on the geom
etries that can be consistently interpreted as low energy moduli space of
a SCFT.\n\nWe can have distinct SCFTs corresponding to the same scale inva
riant geometry but which differ by the set of relevant deformations that a
re turned on. These in fact correspond to different theories\, each with i
ts own flavor structure and matter content transforming in appropriate re
presentations of the flavor group.\n\nWe classify all the possible deforma
tions of scale invariant Coulomb Branches that satisfy all the low energy
consistency conditions and thus can have a consistent interpretation as mo
duli space of a SCFT. This can be used in conjuction with other approaches
\, such as S-duality and the conformal bootstrap to obtain a better global
understanding of $\\mathcal{N}=2$ SCFTs.\n\nhttps://indico.cern.ch/event/
361123/contributions/856186/
LOCATION:Alumni Center East Partition
URL:https://indico.cern.ch/event/361123/contributions/856186/
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SUMMARY:Gauged linear sigma models on the Omega-deformed two-sphere
DTSTART;VALUE=DATE-TIME:20150807T182500Z
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UID:indico-contribution-72097-856425@indico.cern.ch
DESCRIPTION:Speakers: Cyril Closset ()\nI will discuss a new exact formula
for supersymmetric correlation functions of gauged linear sigma models (G
LSM) with $\\mathcal{N}=(2\,2)$ supersymmetry on the two-sphere with a twi
st. More precisely\, the $S^2$ supersymmetric background is an ``Omega-bac
kground'' which generalizes the familiar A-twist. The formula simplifies p
revious results and leads to new results for non-Abelian gauge theories. I
t provides an interesting new tool to study strongly coupled 2d supersymme
tric gauge theories with matter.\n\n(Based on 1504.06308 with S. Cremonesi
and D. S. Park.)\n\nhttps://indico.cern.ch/event/361123/contributions/856
425/
LOCATION:Alumni Center East Partition
URL:https://indico.cern.ch/event/361123/contributions/856425/
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SUMMARY:Thermal Corrections to Renyi Entropies on the n-Sphere
DTSTART;VALUE=DATE-TIME:20150807T211500Z
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UID:indico-contribution-72097-856427@indico.cern.ch
DESCRIPTION:Speakers: Michael Spillane (Stony Brook University)\nInterest
in entanglement entropy and its generalization Renyi entropy is growing du
e to its applications in a variety of fields in physics\, from quantum com
putation and phase transitions to black hole physics and holography. In t
his talk I will discuss the effects of a small finite temperature on both
measures of entanglement. The primary focus will be on calculating correc
tions for a free fermion on an n-sphere. Via conformal maps and a Boltzma
nn expansion of the density matrix\, the corrections can be related to a s
pecific two point function on a conical space. This work expands on previo
us work in Refs. arXiv:1407.1358 and arXiv:1411.6505.\n\nhttps://indico.ce
rn.ch/event/361123/contributions/856427/
LOCATION:Alumni Cener East Partition
URL:https://indico.cern.ch/event/361123/contributions/856427/
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SUMMARY:T-duality off shell in 3D Type II superspace
DTSTART;VALUE=DATE-TIME:20150807T202500Z
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UID:indico-contribution-72097-856485@indico.cern.ch
DESCRIPTION:Speakers: Martin Polacek (PhD student)\nWe give the manifestly
T-dual formulation of the massless sector of the classical 3D Type II sup
erstring in off-shell 3D N = 2 superspace\, including the action. It has a
simple relation to the known superspace of 4D N = 1 supergravity in 4D M-
theory via 5D F-theory. The prepotential appears as part of the vielbein\,
without derivatives.\n\nhttps://indico.cern.ch/event/361123/contributions
/856485/
LOCATION:Alumni Cener East Partition
URL:https://indico.cern.ch/event/361123/contributions/856485/
END:VEVENT
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SUMMARY:On the classification of 4d rank1 N=2 SCFT
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UID:indico-contribution-72097-856540@indico.cern.ch
DESCRIPTION:Speakers: Yongchao Lv ()\nI will report on a systematic approa
ch to the classification of four dimensional N=2 superconformal field the
ories (SCFTs) with a one dimensional moduli space of Coulomb vacua with p
lanar topology. The geometric structure of the Coulomb branch encodes ult
raviolet conformal field theory data: the relevant mass deformations of th
e UV N=2 SCFTs are mapped to the complex deformations of singular Coulomb
branch geometries. Our results go beyond the standard lore of the ADE cla
ssification\, and a richer pattern of flavor symmetries is revealed corres
ponding to different deformations. \n\nWe have constructed explicit Seiber
g-Witten (SW) curves and one-forms for each possible regular deformation.
Further physical consistency conditions are obtained by considering N=2 R
G flows\, and certain SW geometries are ruled out by our conjecture about
the absence of dangerously irrelevant operators in N=2 field theories. Al
l but one of the surviving SW geometries correspond to known N=2 SCFTs\; w
e conjecture that the new geometry corresponds to a previously undiscovere
d rank 1 N=2 SCFT. \n\nThe structure of the enhanced Coulomb branches (als
o known as mixed branches) of these N=2 SCFTs is also examined in terms of
N=1 chiral ring relations. The related data (i.e.\, the dimension of the
Higgs branch factor) is used to compute the conformal and flavor central
charges by a refined version of Shapere and Tachikawa's topological twisti
ng argument.\n\nhttps://indico.cern.ch/event/361123/contributions/856540/
LOCATION:Alumni Cener East Partition
URL:https://indico.cern.ch/event/361123/contributions/856540/
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SUMMARY:Magnetic Catalysis in Graphene
DTSTART;VALUE=DATE-TIME:20150807T185000Z
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DTSTAMP;VALUE=DATE-TIME:20210119T102450Z
UID:indico-contribution-72097-856563@indico.cern.ch
DESCRIPTION:Speakers: christopher Winterowd (University of Utah)\nOne of t
he most important developments in condensed matter physics in recent years
has been the discovery \nand characterization of graphene. A two-dimensio
nal layer of Carbon arranged in a hexagonal lattice\, graphene exhibits \n
many interesting electronic properties\, most notably the property that th
e low energy excitations can be described by the Dirac equation for a mass
less fermion.\nThese excitations interact strongly via the Coulomb interac
tion and thus non-perturbative methods can be useful. Using\nmethods borro
wed from lattice QCD\, we study the graphene effective theory in the prese
nce of an external magnetic field.\nGraphene\, along with other $(2+1)$-di
mensional field theories\, has been predicted to undergo spontaneous break
ing of chiral symmetry including the formation of a gap as a result of \nt
he external magnetic field. This phenomenon is known as magnetic catalysis
. Our study investigates magnetic catalysis using a fully non-perturbative
approach.\n\nhttps://indico.cern.ch/event/361123/contributions/856563/
LOCATION:Alumni Center East Partition
URL:https://indico.cern.ch/event/361123/contributions/856563/
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