One-loop determinants in AdS₃ supergravity with extended supersymmetry

2025/08/21 by Rakic, Ilija, Toni, Lorenzo
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.15701

Abstract

We re-examine the computation of the one-loop partition function of Type II supergravity theory compactified on AdS₃ × S³ × X, where X can be K₃, T⁴ and S³ × S¹. These backgrounds preserve eight supercharges (four left and four right moving) and are known to be holographically dual to either small or large N=(4,4) superconformal field theories. By extending well-established heat kernel techniques, we evaluate the one-loop determinants associated to these supergravity backgrounds. The resulting expressions are then used to reconstruct the characters of short multiplets of the corresponding dual boundary theories. A distinctive aspect of our analysis is the emergence of contributions from multiple gravitational saddle points in the path integral, reflecting the spectral flow structure present in the boundary theory.

Citations

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