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Field theory operator encoding in N = 2 geometries

Field theory operator encoding in N = 2 geometries
Field theory operator encoding in N = 2 geometries
We investigate supergravity solutions describing D5-branes wrapped on a two cycle which are dual to Script N = 2 super Yang Mills theory. Brane probing these solutions allows the moduli space of the field theory to be identified. There are a unique set of coordinates in which the field theory on the probe takes an Script N = 2 form and in these coordinates the running coupling of the gauge theory may be identified. We show that the geometry, when restricted to the moduli space, takes a very simple form involving only two functions. One is the running gauge coupling whilst the other parametrizes the scalar operators of the field theory. The D5-brane distributions, for the full set of solutions in the literature, can be determined by assuming the field theory's form for the running coupling as a function of scalar vevs. We show that the resulting distributions also correctly reproduce the scalar operators parametrized elsewhere providing the first non-trivial consistency check on the duality.
D-branes, brane dynamics in gauge theories, AdS-CFT correspondence
Babington, James
3be10215-0454-4e7e-9432-6b341b01c518
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Babington, James
3be10215-0454-4e7e-9432-6b341b01c518
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3

Babington, James and Evans, Nick (2002) Field theory operator encoding in N = 2 geometries. The Journal of High Energy Physics, 1. (doi:10.1088/1126-6708/2002/01/016).

Record type: Article

Abstract

We investigate supergravity solutions describing D5-branes wrapped on a two cycle which are dual to Script N = 2 super Yang Mills theory. Brane probing these solutions allows the moduli space of the field theory to be identified. There are a unique set of coordinates in which the field theory on the probe takes an Script N = 2 form and in these coordinates the running coupling of the gauge theory may be identified. We show that the geometry, when restricted to the moduli space, takes a very simple form involving only two functions. One is the running gauge coupling whilst the other parametrizes the scalar operators of the field theory. The D5-brane distributions, for the full set of solutions in the literature, can be determined by assuming the field theory's form for the running coupling as a function of scalar vevs. We show that the resulting distributions also correctly reproduce the scalar operators parametrized elsewhere providing the first non-trivial consistency check on the duality.

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More information

Published date: 2002
Keywords: D-branes, brane dynamics in gauge theories, AdS-CFT correspondence

Identifiers

Local EPrints ID: 57025
URI: https://eprints.soton.ac.uk/id/eprint/57025
PURE UUID: 7c3a1c65-ffef-4ea3-a330-c53a0afa66e1

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Date deposited: 13 Aug 2008
Last modified: 13 Mar 2019 20:34

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