Yun-Feng Jiang

Title：Giant Gravitons as Integrable Boundary States

Abstract：In the AdS/CFT correspondence, giant gravitons are key non-perturbative objects, dual to (sub)determinant operators in \({\cal N}=4\) SYM and ABJM theories. In this talk, we discuss the computation of correlation functions involving two giant gravitons and a non-BPS single-trace operator. We show that the corresponding OPE coefficient can be interpreted as an overlap between an integrable boundary state and an on-shell Bethe state. We will present this computation first at tree level, using an exact overlap formula, and then generalize it to finite coupling by employing integrability techniques using the exact \(g\)-function approach.

Wei Li

Title：AdS₃ Quantum Gravity and Finite N Chiral Primaries

Abstract：I will talk about the analogue of Giant Graviton Expansion in \({\rm AdS}_3\). String theory on \(\rm{AdS}_3 × S^3 × M_4\) provides a well-studied realization of \(\rm{AdS}_3/\rm{CFT}_2\) holography, but its non-perturbative structure at finite \(N\sim 1/G_{\rm{Newton}}\) is largely unknown. A long-standing puzzle concerns the stringy exclusion principle: what bulk mechanism can reproduce the boundary expectation that the chiral primary Hilbert space of the symmetric orbifold contains only a finite number of states at finite N? I will present a bulk prescription for computing the finite N spectrum of chiral primary states in symmetric orbifolds of \(T^4\) or K3. I will show that the integer spectrum at any N is reproduced exactly by summing over one-loop supersymmetric partition functions of the IIB theory on the orbifold geometries \((\rm{AdS}_3× S^3)/Z_k × M_4\) and their spectral flows. 

Ryo Suzuki

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

Abstract：I will explain how to numerically compute the thermal partition function of the su(2) sector of \({\cal N}=4\) SYM with SU(N) gauge group on \(S^1 \times S^3\) at finite N, up to a certain cutoff in the operator length L. This problem is more intricate than it appears due to non-BPS quantum corrections and trace relations at finite N. We study 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).