Witten index of supersymmetric chiral theories

Sen, Diptiman (1989) Witten index of supersymmetric chiral theories Physical Review D - Particles, Fields, Gravitation and Cosmology, 39 (6). pp. 1795-1797. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v39/i6/p1795_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.39.1795

Abstract

The Witten index can be defined in many supersymmetric theories by formulating them in the space-time R×S3. If the index is nonzero for any value of the radius of S3, it can be shown that the theory does not break supersymmetry in Minkowski space. This approach rules out supersymmetry breaking in a large class of models, chiral and otherwise. The index arguments are consistent with previous instanton calculations which indicate supersymmetry breaking in certain theories.

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Deposited On:28 Jun 2011 05:34
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