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\(N=1\) supersymmetric gauge theories and supersymmetric \(3\)-cycles. (English) Zbl 0958.81126

Summary: In this paper we discuss the strong coupling limit of chiral \(N=1\) supersymmetric gauge theory via their embedding into M-theory. In particular we focus on the brane box models of Hanany and Zaffaroni and show that after a T-duality transformation their M-theory embedding is described by supersymmetric 3-cycles; its geometry will encode the holomorphic non-perturbative information about the gauge theory.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
53C38 Calibrations and calibrated geometries
81T60 Supersymmetric field theories in quantum mechanics
83E30 String and superstring theories in gravitational theory

References:

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