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The Gauge-Bethe Correspondence and Geometric Representation Theory
The Gauge-Bethe Correspondence Geometric Representation Theory
2010/12/24
The Gauge/Bethe correspondence of Nekrasov and Shatashvili relates the spectrum of integrable spin chains to the ground states of supersymmetric gauge theories. Up to now, this correspondence has been...
Geometric quantization and the metric dependence of the self-dual field theory
Geometric quantization self-dual field theory
2010/12/24
We investigate the metric dependence of the partition function of the self-dual p-form gauge field on an arbitrary Riemannian manifold. Using geometric quantization of the space of middle-dimensional...
I present some applications of geometric flows in string theory and gravity. In some circumstances time evolution in string theory can be approximately identified with Ricci-flow parametric evolution...
Together with I. Rodnianski we develop a geometric version,of LP-theory on Riemannian manifolds by a heat flow approach. We show how to recover the usual properties of the classical LP calculus by usi...