Localization and wall-crossing of giant graviton expansions in AdS₅

TY - JOUR

T1 - Localization and wall-crossing of giant graviton expansions in AdS5

AU - Eleftheriou, Giorgos

AU - Murthy, Sameer

AU - Rosselló, Martí

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/7/10

Y1 - 2025/7/10

N2 - The 1/2-BPS indices of N = 4 Super Yang-Mills theory with unitary, orthogonal, and symplectic groups all admit q-expansions suggesting an interpretation in terms of D- branes in the dual bulk AdS5 string theories. We present a derivation of these expansions in the corresponding bulk duals by quantizing the moduli space of 1/2-BPS giant gravitons using supersymmetric localization, extending and clarifying our study in arxiv:2312.14921. We perform a detailed analysis of the one-loop fluctuations around the maximal giants (the fixed points), and show how the Hamiltonian analysis is recovered from the functional integral for the equivariant index. We show that the analytic continuation for these giant graviton expansions observed in the literature maps precisely to a wall-crossing phenomenon for the index. In the case of orthogonal and symplectic gauge groups, the ℤ2 quotient in the bulk leads to a corresponding projection in the q-expansion. Additional terms in the expansion related to the Pfaffian operator arise from topologically stable branes in the bulk dual on AdS5 × RP5.

AB - The 1/2-BPS indices of N = 4 Super Yang-Mills theory with unitary, orthogonal, and symplectic groups all admit q-expansions suggesting an interpretation in terms of D- branes in the dual bulk AdS5 string theories. We present a derivation of these expansions in the corresponding bulk duals by quantizing the moduli space of 1/2-BPS giant gravitons using supersymmetric localization, extending and clarifying our study in arxiv:2312.14921. We perform a detailed analysis of the one-loop fluctuations around the maximal giants (the fixed points), and show how the Hamiltonian analysis is recovered from the functional integral for the equivariant index. We show that the analytic continuation for these giant graviton expansions observed in the literature maps precisely to a wall-crossing phenomenon for the index. In the case of orthogonal and symplectic gauge groups, the ℤ2 quotient in the bulk leads to a corresponding projection in the q-expansion. Additional terms in the expansion related to the Pfaffian operator arise from topologically stable branes in the bulk dual on AdS5 × RP5.

KW - AdS-CFT Correspondence

KW - D-Branes

UR - https://www.scopus.com/pages/publications/105010638346

U2 - 10.1007/JHEP07(2025)126

DO - 10.1007/JHEP07(2025)126

M3 - Article

AN - SCOPUS:105010638346

SN - 1126-6708

VL - 2025

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 126

ER -