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.

53 pages plain TeX (harvmac) + 3 uuencoded figures

References in corpus (6)

• On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
• A New Supersymmetric Index
• Topological Orbifold Models and Quantum Cohomology Rings
• Massive Orbifold
• Dynkin Diagrams of ${CP}^1$ Orbifolds
• From Here to Criticality: Renormalization Group Flow Between Two Conformal Field Theories

Cited by in corpus (12)

• A Geometric Unification of Dualities
• Stability conditions on a non-compact Calabi-Yau threefold
• Dibaryons from Exceptional Collections
• D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds: From Mukai to McKay
• Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures
• Brane Tilings and Exceptional Collections
• Seiberg Duality is an Exceptional Mutation
• Exceptional collections and D-branes probing toric singularities
• D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy
• On Duality Walls in String Theory
• Stokes Matrices for the Quantum Cohomologies of Orbifold Projective Lines
• Quantum symmetries and exceptional collections