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(0,2) Trialities · Around

2013

(0,2) Trialities

Gadde, Abhijit, Gukov, Sergei, Putrov, Pavel

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Motivated by the connection between 4-manifolds and 2d N=(0,2) theories, we study the dynamics of a fairly large class of 2d N=(0,2) gauge theories.

We see that physics of such theories is very rich, much as the physics of 4d N=1 theories.
We discover a new type of duality that is very reminiscent of the 4d Seiberg duality.
Surprisingly, the new 2d duality is an operation of order three: it is IR equivalence of three different theories and, as such, is actually a triality.

Built on

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1962
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A. Zamolodchikov, Tetrahedron Equations and the Relativistic S Matrix of Straight Strings in (2+1)-dimensions
1981
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A. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory
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J. Distler and S. Kachru, (0,2) Landau-Ginzburg theory
1994
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E. Silverstein and E. Witten, Global U(1) R symmetry and conformal invariance of (0,2) models
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Then

J. McOrist and I. V. Melnikov, Half-Twisted Correlators from the Coulomb Branch
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2008
Later among the works it cites.
V. V. Bazhanov, V. V. Mangazeev, and S. M. Sergeev, Quantum geometry of 3-dimensional lattices
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2008
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P. A. Bolokhov, M. Shifman, and A. Yung, Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
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G. Festuccia and N. Seiberg, Rigid Supersymmetric Theories in Curved Superspace
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2011
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I. V. Melnikov, C. Quigley, S. Sethi, and M. Stern, Target Spaces from Chiral Gauge Theories
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2008

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