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

By E. Witten. 2005

200 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/59fad62099bc4fa0379fb531313586aa5c4666fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. E. Witten
2. N. Seiberg
3. G. Moore
4. A. Kapustin
5. D. Gaiotto
6. T. Dumitrescu
7. N. Nekrasov
8. Michael R Douglas

In Statistical and Nonlinear Physics

1. E. Witten
2. N. Seiberg
3. N. Nekrasov
4. G. Moore
5. Michael R Douglas
6. T. Dumitrescu
7. A. Kapustin
8. D. Gaiotto

Citations in the corpus

• Pure spinor formalism as an N=2 topological string (2005, unknown): “September 2005 1 e-mail: nberkovi@ift.unesp.br”
• Multiloop superstring amplitudes from non-minimal pure spinor formalism (2006, background): “In principle, there are two options – one can treat these new coordinates as fields of the same worldsheet chirality as λα, as will be done in this paper following [4], or as fields of the opposite worldsheet chirality, as is more natural in the context of (0, 2) models [5].”
• Electric-Magnetic Duality And The Geometric Langlands Program (2006, background): “Localizing the path-integral in target space makes sense only if nonperturbative effects can be neglected [34, 35].”
• Supercurrents and brane currents in diverse dimensions (2011, methodology): “This was pointed out in [27] and explicitly verified in [28].”
• Dirichlet Branes and Mirror Symmetry (2009, background): “The case of (0, 2) supersymmetry has been recently shown in [285, 474] to be related to the sheaves of chiral algebras on a complex manifold X constructed in [345, 187, 189, 188].”