### Conveners

#### Formal Theory Development

- Sangmin Lee (Unknown)

#### Formal Theory Development: 2

- Kimyeong Lee (Korea Institute for Advanced Study)

#### Formal Theory Development: 3

- Deog-Ki Hong (Pusan National University)

#### Formal Theory Development: 4

- Wei Li (Institute of Theoretical Physics, Chinese Academy of Sciences)

We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending the classification of the rank 1 cases, which are realized geometrically as shrinking del Pezzo surfaces embedded in a 3-fold, we propose an exhaustive classification of local 3-folds engineering rank 2 SCFTs in 5d. This...

I consider analyticity properties of scattering amplitude in higher dimensional field theories in the frame works of LSZ Axiomatic field theory. I prove existence of the Lehmann-Martin ellipse and prove generalized Jost-Lehmann-Dyson theorem

to achieve this goal. Here the basis for partial wave expansion is Gegenbaur

polynomial. I also prove analog of the Froissart-Martin bound for such...

Counting observables in tensor and in matrix theories reveals a non-trivial relation between them. By means of a SSB mechanism, we explore the connection between tensor theories with symmetry group U(N)^d and symmetrized tensor theories which transform under U(N). We see that, in such a case, the Goldstone boson space precisely organizes itself into a collection of d-1 matrices transforming...

In this talk, we will discuss how the modular property constraints partition function of two-dimensional conformal field theories(CFT). We apply the semi-definite programming to the modular constraints with assuming the presence of holomorphic/anti-holomorphic currents and twist gap in spectrum. The level-one WZW models with Degline's exceptional series, cousins of extremal CFTs and novel c=8...

I discuss D-instanton solutions in type IIB supergravity on AdS5×T1,1, which has a dual N=1 SU(N)×SU(N) super Yang-Mills theory. Apart from ordinary D(-1)-brane instantons, I consider wrapped D1-branes over minimal 2-cycles and derive explicit solutions preserving half the supersymmetries. These solutions are identified with Yang-Mills instantons which are (anti)self-dual in both gauge group...

Quantum entanglement is the most surprising feature of quantum theory. Ground states of quantum many-body systems typically exhibit the area law behavior in the entanglement entropy, which measures the amount of entanglement between a subsystem and the rest of the system. Recently, a class of solvable spin models with local interactions has been constructed by Mavassagh and Shor and by...

Higher spin symmetry and integrability are two different types of symmetry structures with strong constraining power. I will explain an interesting and useful map between the two in the example of the W symmetry and affine Yangian of gl(1). Then I will explain how to supersymmetrize this map via gluing. This method then allows us to construct new types of affine Yangian algebras.

Kapustin and Witten showed that a twisted version of N=4 gauge theory in four dimensions compactifies to a two-dimensional sigma-model whose target space is the Hitchin moduli space. In this talk, I consider the reduction of the gauge theory on a four dimensional orientable spacetime manifold which is not a global product of two surfaces but contains a non-orientable surface. The low energy...

We conjecture that in Yang-Mills theories the ratio between the ground-state glueball mass squared and the string tension is proportional to the ratio of the eigenvalues of quadratic Casimir operators in the adjoint and the fundamental representations. The proportionality constant depends on the dimension of the space-time only, and is henceforth universal. We argue that this universality,...

In SU(N) gauge theory, it is argued recently that there exists a "mixed

anomaly" between the CP symmetry and the 1-form ZN symmetry at \theta=\
pi, and the anomaly matching requires CP to be spontaneously broken at \
theta=\pi if the system is in the confining phase. In this talk, we

elaborate on this discussion by examining the large volume behavior of

the partition functions of the SU(N)/Z_N...

Working in the context of the Planck scale cosmology formulation of Bonanno and Reuter, we use our resummed quantum gravity approach to Einstein's general theory of relativity to estimate the value of the cosmological constant as $\rho_\Lambda =(0.0024 eV)^4$. We show that susy GUT models are constrained by the closeness of this estimate to experiment. We also present various consistency...