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Perturbative solutions of N=1 holography on S4

2019/04/30 by Nakwoo Kim, Se-Jin Kim · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Expression (computer science) #Function (biology) #Holography #Order (exchange) #Quantum Mechanics and Non-Hermitian Physics #Quartic function #Supergravity #hep-th

paper · pdf · doi:10.1007/jhep07(2019)169

published as JHEP 07 (2019) 169 · v2: 15 pages, 2 figures, added references and discussion on gaugino condensate etc, v3: typos corrected and comments added

openalex created_date 2019/04/11 · openalex publication_date 2019/07/01 · arxiv created 2019/07/13 · arxiv updated 2020/07/20 · openalex updated_date 2026/08/05

Abstract

A bstract We apply the recently proposed perturbative technique to solve the supergravity BPS equations of N=1 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>1</mml:mn> <mml:mo>∗</mml:mo> </mml:msup> </mml:math> theories put on S 4 . In particular, we have calculated the coefficients of the leading quartic terms exactly, in the expression of the universal part for the holographic free energy as a function of the mass parameters. We also report on the coefficients of higher order terms up to 10th order, which are computed numerically.

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