Two-dimensional models with (0, 2) supersymmetry: Perturbative aspects

Edward Witten

doi:10.4310/ATMP.2007.v11.n1.a1

Two-dimensional models with (0, 2) supersymmetry: Perturbative aspects

Edward Witten

Research output: Contribution to journal › Article › peer-review

75 Scopus citations

Abstract

Certain perturbative aspects of two-dimensional sigma models with (0, 2) supersymmetry are investigated. The main goal is to understand in physical terms how the mathematical theory of "chiral differential operators" is related to sigma models. In the process, we obtain, for example, an understanding of the one-loop beta function in terms of holomorphic data. A companion paper will study nonperturbative behavior of these theories.

Original language	English (US)
Pages (from-to)	1-63
Number of pages	63
Journal	Advances in Theoretical and Mathematical Physics
Volume	11
Issue number	1
DOIs	https://doi.org/10.4310/ATMP.2007.v11.n1.a1
State	Published - 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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10.4310/ATMP.2007.v11.n1.a1

Cite this

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abstract = "Certain perturbative aspects of two-dimensional sigma models with (0, 2) supersymmetry are investigated. The main goal is to understand in physical terms how the mathematical theory of {"}chiral differential operators{"} is related to sigma models. In the process, we obtain, for example, an understanding of the one-loop beta function in terms of holomorphic data. A companion paper will study nonperturbative behavior of these theories.",

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AB - Certain perturbative aspects of two-dimensional sigma models with (0, 2) supersymmetry are investigated. The main goal is to understand in physical terms how the mathematical theory of "chiral differential operators" is related to sigma models. In the process, we obtain, for example, an understanding of the one-loop beta function in terms of holomorphic data. A companion paper will study nonperturbative behavior of these theories.

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Two-dimensional models with (0, 2) supersymmetry: Perturbative aspects

Abstract

All Science Journal Classification (ASJC) codes

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