| Speaker: | Marti Rossello (Institute of Mathematics, Academia Sinica) |
|---|---|
| Title: | Localization and wall-crossing of giant graviton expansions in AdS5 |
| Date (JST): | Tue, Jun 10, 2025, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: | 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. I will present a derivation of this expansion for the unitary group in the AdS5xS5 bulk dual by quantizing the moduli space of 1/2-BPS giant gravitons using supersymmetric localization. I will introduce the concept of giant graviton and review the origin and appearance of such expansions to then proceed to perform the analysis of the one-loop fluctuations around the maximal giants, and show how the Hamiltonian analysis is recovered from the functional integral for the equivariant index. In doing so, I'll show that the analytic continuation for these giant graviton expansions observed in the literature maps precisely to a wall-crossing phenomenon for the index. Time permitting, I'll explain the case of orthogonal and symplectic gauge groups, where 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 AdS5xRP5. |
