Derives a residue formula for elliptic genera in 2d (0,1) gauge theories that recovers the Jeffrey-Kirwan prescription for (0,2) theories and applies it to the Gukov-Pei-Putrov model to study its phase structure.
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abstract
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. We also consider quiver theories and study their triality webs. Given a quiver graph, we find that supersymmetry is dynamically broken unless the ranks of the gauge groups and flavor groups satisfy stringent inequalities. In fact, for most of the graphs these inequalities have no solutions. This supports the folklore theorem that generic 2d N=(0,2) theories break supersymmetry dynamically.
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UNVERDICTED 2representative citing papers
Neural networks classify Seiberg dual classes on Z_m x Z_n orbifolds with R^2=0.988 and predict toric multiplicities for Y^{6,0} with mean absolute error 0.021 under fixed Kasteleyn representative.
citing papers explorer
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Elliptic Genera of 2d $\mathcal{N}=(0,1)$ Gauge Theories
Derives a residue formula for elliptic genera in 2d (0,1) gauge theories that recovers the Jeffrey-Kirwan prescription for (0,2) theories and applies it to the Gukov-Pei-Putrov model to study its phase structure.
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Machine Learning Toric Duality in Brane Tilings
Neural networks classify Seiberg dual classes on Z_m x Z_n orbifolds with R^2=0.988 and predict toric multiplicities for Y^{6,0} with mean absolute error 0.021 under fixed Kasteleyn representative.