scholarly journals A study of holographic renormalization group flows in d = 6 and d = 3

2000 ◽  
Vol 2000 (06) ◽  
pp. 023-023 ◽  
Author(s):  
Vanicson L Campos ◽  
Gabriele Ferretti ◽  
Henric Larsson ◽  
Bengt E.W Nilsson ◽  
Dario Martelli
Keyword(s):  
Renormalization Group ◽  
Holographic Renormalization ◽  
Renormalization Group Flows

scholarly journals The Hamilton-Jacobi equation and holographic renormalization group flows on sphere

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Nakwoo Kim ◽  
Se-Jin Kim
Keyword(s):  
Renormalization Group ◽  
Characteristic Function ◽  
Jacobi Equation ◽  
Degrees Of Freedom ◽  
Warp Factor ◽  
Holographic Renormalization ◽  
Mass Terms ◽  
Renormalization Group Flows ◽  
Jacobi Formulation ◽  
Hamilton Jacobi Equation

Abstract We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on. Although the system is supersymmetric and it is described by a superpotential, Hamilton’s characteristic function is not readily given by the superpotential when the boundary of AdS is curved. We propose a method to construct the solution as a series expansion in scalar field degrees of freedom. The coefficients are functions of the warp factor to be determined by a differential equation one obtains when the ansatz is substituted into the Hamilton-Jacobi equation. We also show how the solution can be derived from the BPS equations without having to solve differential equations. The characteristic function readily provides information on holographic counterterms which cancel divergences of the on-shell action near the boundary of AdS.

scholarly journals Anatomy of two holographic renormalization group flows

2001 ◽  
Vol 2001 (01) ◽  
pp. 021-021 ◽  
Author(s):  
Massimo Bianchi ◽  
Oliver DeWolfe ◽  
Daniel Z Freedman ◽  
Krzysztof Pilch
Keyword(s):  
Renormalization Group ◽  
Holographic Renormalization ◽  
Renormalization Group Flows
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