2025/01/23 by Giorgos Eleftheriou, Sameer Murthy, Eleftheriou, Giorgos +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2501.13910
openalex publication_date 2025/01/23 · openalex created_date 2025/07/11 · openalex updated_date 2026/07/28
The \frac12-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 \frac12-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 × \mathbbRP5.