2019/02/28 by Nakwoo Kim · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Gauge (firearms) #Gauge theory #Holography #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep04(2019)053
published as JHEP 04 (2019) 053 · 20 pages, 2 figures; v2: references added, typos corrected; v3: to appear in JHEP
openalex created_date 2019/02/21 · openalex publication_date 2019/04/01 · arxiv created 2019/04/04 · arxiv updated 2020/08/04 · openalex updated_date 2026/08/05
A bstract We study supergravity BPS equations which correspond to mass-deformation of some representative AdS/CFT examples. The field theory of interest are N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4, D = 4 super Yang-Mills, the ABJM model in D = 3, and the Brandhuber-Oz fixed point in D = 5. For these gauge theories the free energy with mass terms for matter multiplets is calculable in large- N limit using supersymmetric localization technique. We suggest a perturbative method to solve the supergravity equations. For the dual of mass-deformed ABJM model we reproduce the known exact solutions. For the mass-deformed Brandhuber-Oz theory our method gives the holographic free energy in analytic form. For N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 * theory our result is in good agreement with the localization result.