We investigate N = 1 super-Yang-Mills theory using fractional branes. We first define the β-function with respect to a supergravity coordinate. To provide the relation between the supergravity parameter and the renormalization group scale we use the UV known gauge theory β-function as a type of boundary condition. We show that there are no privileged renormalization schemes connected to a given supergravity solution while we investigate in some detail two schemes. The Wilsonian one where just one loop is manifest and the one containing multi-loops. A new functional relation between the gaugino condensate and the supergravity coordinates is finally determined. © 2002 Elsevier Science B.V. All rights reserved.
N = 1 super-Yang-Mills renormalization schemes for fractional branes / Marotta, R.; Sannino, F.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 545:1-2(2002), pp. 162-168. [10.1016/S0370-2693(02)02592-3]
N = 1 super-Yang-Mills renormalization schemes for fractional branes
Marotta R.;Sannino F.
Writing – Original Draft Preparation
2002
Abstract
We investigate N = 1 super-Yang-Mills theory using fractional branes. We first define the β-function with respect to a supergravity coordinate. To provide the relation between the supergravity parameter and the renormalization group scale we use the UV known gauge theory β-function as a type of boundary condition. We show that there are no privileged renormalization schemes connected to a given supergravity solution while we investigate in some detail two schemes. The Wilsonian one where just one loop is manifest and the one containing multi-loops. A new functional relation between the gaugino condensate and the supergravity coordinates is finally determined. © 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
