Giant Graviton Expansion and Volume Minimisation

Wednesday 20 Aug 2025, 17:30 → 19:00 Asia/Tokyo

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Date: August 20th (Wed), 17:30PM(JST)
Speaker: Heng-Yu Chen (National Taiwan University)
Title: Giant Graviton Expansion and Volume Minimisation

Abstract: After introducing the relevant backgrounds on superconformal indices and toric Calabi-Yau geometries, we establish a precise correspondence between the giant graviton expansion of the superconformal index of field theories in D >= 4, and the master volume formalism of Gauntlett, Martelli and Sparks (GMS) which determines the near horizon geometries of certain BPS black holes and black strings in supergravity. We focus on 4d N = 1 superconformal field theories arising on the world volume of N D3 branes placed at the tip of a cone over a toric Sasaki-Einstein manifold SE5. The giant graviton expansion realises the superconformal index as the sum of contributions from wrapped D3 branes in the dual AdS5 × SE5. For large giant graviton wrapping numbers, the asymptotics of each such contribution is governed by the master volume of a particular metric deformation of SE5.  In particular, the wrapping numbers of a generic giant graviton configuration are identified with Kahler moduli of the corresponding metric. We will further show that at large N the entropy function of the relevant AdS5 ×SE5 BPS rotating black hole is recovered by extremising over these moduli. If time permits, I will also discuss some on-going work with collaborators.