Schedule

Talk 1 (10:00 - 11:00) - Speaker: Kimyeong Lee

• Title: Riemann Zeta Function, Black Hole and Quantum Gravity

Talk 2 (11:30 - 12:30) - Speaker: Changrim Ahn 

• Title: UV complete theories from massless S-matrix bootstrap

• Abstract:
  In this talk, I present a new approach to finding UV complete theories for a given IR CFT by constructing exact S-matrices between massless particles. RG flows between the IR and UV CFTs are generated by the TBA equations derived from these exact S-matrices. For concrete examples, we focus on the CFTs with A_n symmetry and find complete solutions of massless S-matrix bootstrap equations along with the crossing-unitarity relations. From the TBA and Y-systems derived from these S-matrices, we show that the UV complete theories can be reached by the RG flows of three classes: the minimal, diagonal, and saturated. 

Talk 3 (14:30 - 15:30) - Speaker: Robert de Mello Koch

• Title: Constructing Fortuitous Operators at any N

Talk 4 (16:00 - 17:00) - Speaker: Ryo Suzuki 

• Title: Algebraic spectroscopy of one-loop dilatation of N=4 SYM at finite N

• Abstract:
  I will explain how to obtain the thermal partition function of the su(2) sector of {\cal N}=4 SYM with SU(N) gauge group on S^1 x S^3 at finite N, up to a certain cutoff in the operator length L. The thermal partition is holographically dual of black holes in AdS_5xS^5, but the computation is intricate due to non-BPS quantum corrections and trace relations at finite N. We tackle this problem in several steps. First, we introduce the permutation centralizer algebra (PCA), which is in one-to-one correspondence with the scalar multi-trace operators at large N. Second, we introduce a representation basis which solves the finite N conditions exactly. This basis can be constructed explicitly by solving an integer eigensystem for the commuting subalgebras of the PCA. Third, we rewrite the one-loop mixing matrix in terms of the PCA and show that the induced action is compatible with the finite N conditions.
  This talk is based on arXiv:2410.13631 and 2512.xxxxx, done in collaboration with S. Ramgoolam (QMUL) and Adrian Padellaro (Bielefeld).

Talk 1 (10:00 - 11:00) - Speaker: Masaki Shigemori

• Title: New supersymmetry indices for the D1-D5 system

Talk 2 (11:30 - 12:30) - Speaker: Sunjin Choi

• Title: Holography with ADE singularities

Talk 3 (14:30 - 15:30) - Speaker: Norihiro Iizuka

• Title: Genuine Multi-Entropy, Black holes, and Holography

Talk 4 (16:00 - 17:00) - Speaker: Miok Park

• Title: Hairy Black Holes by Spontaneous Symmetry Breaking in ESGB theory

• Abstract:
  We argue the generating mechanism of the hairy black holes involved with spontaneous symmetry breaking of the global U(1) symmetry in Einstein-Scalar-Gauss-Bonnet theory for asymptotically flat spacetimes. We consider the mechanism that black holes without hairs become unstable at the critical point of the coupling constant and undergo a phase transition to hairy black holes in the symmetry-broken phase driven by spontaneous symmetry breaking. This transition occurs near the black hole horizon due to the diminishing influence of the Gauss-Bonnet term at infinity. To examine such process, we introduce a scalar field perturbation on the newly formed background spacetime. We solve the linearized perturbation equation using Green’s function method and compute the branch cut contribution. Our primary interest lies in utilizing quasinormal modes (QNMs) to investigate the stability of the hairy black hole solutions. Our analysis shows that hairy black holes in the symmetric phase become unstable when the quadratic coupling constant exceeds a critical value. In contrast, hairy black holes in the symmetry-broken phase are always stable. These numerical results provide strong evidence for a dynamical process that unstable black holes without hairs transition into stable hairy black holes in the symmetry-broken phase through the spontaneous symmetry breaking. We will also briefly mention about the local U(1) symmetry case.

Talk 1 (10:00 - 11:00) - Speaker: Hee-cheol Kim

• Title: Finite landscape of supergravity

Talk 2 (11:30 - 12:30) - Speaker: Sang-Heon Yi

• Title: Position-dependent mass scalar field theory, curved spacetime and asymptotic Weyl symmetry

• Abstract:
  We investigate a class of (1+1)-dimensional inhomogeneous—position-dependent mass—scalar field theories that  can be classically converted to field theories on curved spacetime. This  conversion enables us to quantize  such inhomogeneous field theories by using the Hadamard method. Employing locally Hadamard states, we compute renormalized two-point functions and covariantly conserved energy-momentum tensors, uncovering interesting consequences: Unruh-like effect in bubble wall expansion at zero temperature. Furthermore, we uncover an approximate asymptotic Weyl symmetry,  whose  anomaly can be interpreted as arising from the boundary term under the variation. These results establish a coherent framework for quantizing and extracting meaningful physics from position-dependent mass field theories and their curved-spacetime counterparts.

Talk 3 (14:30 - 15:30) - Speaker: Kanghoon Lee

• Title: Towards geometry for realistic stars from recursions

Talk 4 (16:00 - 17:00) - Speaker: Siyul Lee

• Title: Towards Quantum Black Hole Microstates

• Abstract:
  I will review the recent surge of interest in finding quantum microstates of black holes, under the name of black hole cohomologies or fortuity. I will go over the progress in the 4d N=4 Super-Yang-Mills with gauge groups SU(2), SU(3) and SU(4), introduce related studies in other theories such as the ABJ(M) theory, and discuss possible applications of this subject. The talk will be based on works by myself as well as by many others.