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Solitons and Helices: The Search for a Math-Physics Bridge

Eric Zaslow

Abstract

We present evidence for an undiscovered link between N=2 supersymmetric quantum field theories and the mathematical theory of helices of coherent sheaves. We give a thorough review for nonspecialists of both the mathematics and physics involved, and invite the reader to take up the search for this elusive connection.

Solitons and Helices: The Search for a Math-Physics Bridge

Abstract

We present evidence for an undiscovered link between N=2 supersymmetric quantum field theories and the mathematical theory of helices of coherent sheaves. We give a thorough review for nonspecialists of both the mathematics and physics involved, and invite the reader to take up the search for this elusive connection.

Paper Structure

This paper contains 129 equations.