The Supergravity dual of a theory with dynamical supersymmetry breaking

Maldacena, Juan Martin; Nastase, Horatiu Stefan

doi:10.1088/1126-6708/2001/09/024

The Supergravity dual of a theory with dynamical supersymmetry breaking

May, 2001

17 pages

Published in:

JHEP 09 (2001) 024

e-Print:

hep-th/0105049 [hep-th]

DOI:

10.1088/1126-6708/2001/09/024

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Abstract:

We study the large

N

limit of a little string theory that reduces in the IR to U(N)

{\cal N} =1

supersymmetric Yang-Mills with Chern Simons coupling

k

. Witten has shown that this field theory preserves supersymmetry if

k\geq N/2

and he conjectured that it breaks supersymmetry if

k< N/2

. We find a non-singular solution that describes the

k=N/2

case, which is confining. We argue that increasing

k

corresponds to adding branes to this solution, in a way that preserves supersymmetry, while decreasing

k

corresponds to adding anti-branes, and therefore breaking supersymmetry.

supergravity: duality
string model
expansion 1/N
infrared problem
gauge field theory: U(N)
supersymmetry: dynamically broken
Chern-Simons term
membrane model

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