Topological sigma models on supermanifolds
Copyright policy )Topological sigma models on supermanifolds
This paper concerns constructing topological sigma models governing maps from semirigid super Riemann surfaces to general target supermanifolds. We define both the A model and B model in this general setup by defining suitable BRST operators and physical observables. Using supersymmetric localization, we express correlation functions in these theories as integrals over suitable supermanifolds. In the case of the A model, we obtain an integral over the supermoduli space of "superinstantons". The language of supergeometry is used extensively throughout this paper.
24 pages
- The University of Texas at Austin United States
High Energy Physics - Theory, Mathematics - Differential Geometry, Nuclear and High Energy Physics, Functional analysis on superspaces (supermanifolds) or graded spaces, Complex supergeometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Model quantum field theories, QC770-798, BRST operators, Yang-Mills and other gauge theories in quantum field theory, Finite-dimensional groups and algebras motivated by physics and their representations, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, FOS: Mathematics, Topological field theories in quantum mechanics, Algebraic Geometry (math.AG)
High Energy Physics - Theory, Mathematics - Differential Geometry, Nuclear and High Energy Physics, Functional analysis on superspaces (supermanifolds) or graded spaces, Complex supergeometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Model quantum field theories, QC770-798, BRST operators, Yang-Mills and other gauge theories in quantum field theory, Finite-dimensional groups and algebras motivated by physics and their representations, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, FOS: Mathematics, Topological field theories in quantum mechanics, Algebraic Geometry (math.AG)
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