2023/02/09 by Dan Stefan Eniceicu, Eniceicu, Dan Stefan · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2302.04887
openalex publication_date 2023/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Work by Gaiotto and Lee, and by Imamura and collaborators suggests that the superconformal index of U(N) gauge theory should be expressible as a convergent series whose terms are indices of associated U(k) gauge theories realized as the worldvolume theories of stacks of k giant-graviton branes. A different expansion for the index provided by Murthy was shown to hold very generally, but the connection to the first expansion was not immediately clear. We study the relation between the two expansions and propose a prescription for extracting the terms of the first series from those of the second. We follow this prescription in the case of the 1/2-BPS index and show that the contribution of the mth term of the first expansion is fully encoded in the first m terms of the second. In addition, we identify the mth term of the second expansion with the expectation value of the Nth power of the superdeterminant in a U(m|m) superunitary matrix integral, which hints at a brane/anti-brane origin for the term.