Work

Supergravity dual for Ishibashi-Kawai-Kitazawa-Tsuchiya holography

Year: 2025

Type: article

Abstract: The Ishibashi-Kawai-Kitazawa-Tsuchiya matrix model, from the holographic perspective, arises at the p = − 1 end point of the family of dualities relating type II supergravities on near-horizon D p brane geometries to ( p + 1 )-dimensional super Yang-Mills theories with 16 supercharges. In this work, we detail and expand results reported in a recent paper by establishing the holographic dictionary between gauge-invariant operators in the lowest Bogomol’nyi-Prasad-Sommerfield multiplet of the matrix model and the corresponding Kaluza-Klein fluctuations of Euclidean IIB supergravity compactified on the D ( − 1 ) instanton background. The full nonlinear dynamics of these fluctuations can be encoded in a one-dimensional maximal gauged supergravity, which we construct explicitly. We provide its complete Lagrangian, up to second order in fermions, together with the corresponding supersymmetry transformations. We further discuss real forms of the theory for noncompact gauge groups and their embeddings into ten-dimensional supergravities with Lorentzian signature. From the analysis of the one-dimensional Killing spinor equations, we derive different classes of half-supersymmetric solutions, and discuss their uplifts as well as their relations to known solutions.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/gmhl-mmg5

Authors: Franz Ciceri, Henning Samtleben

Institutions: École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Institut Universitaire de France

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Deutsche Forschungsgemeinschaft

Award: Zweidimensionale Supergravitation und MatrixmodellHolographie