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This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic.
Quantum fields and strings: a course for mathematicians, Vol. 1, 2 (Princeton, NJ, 1996/1997)
P. Deligne and D. Freed, · 1999
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Five Lectures on Supersymmetry
D. S. Freed, · 1999
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(2006), arXiv:hep-th/0612119
A. Kapustin, Holomorphic reduction of N=2 gauge theories, Wilson-’t Hooft operators, and S-duality · 2006
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Adv. Math. 210
K. Costello, Topological conformal field theories and Calabi-Yau categories · 2007
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Geom. Funct. Anal. 17
D. Tamarkin, Quantization of Lie bialgebras via the formality of the operad of little disks · 2007
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D. Gaiotto and E. Witten, Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills theory · 2008
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J. Lurie, On the classification of topological field theories · 2009
Cited alongside, same era.
N. Nekrasov and S. Shatashvili, Quantization of Integrable Systems and Four Dimensional Gauge Theories · 2009
Cited alongside, same era.
K. Costello, Notes on supersymmetric and holomorphic field theories in dimensions 2 2 and 4 4 · 2011
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Renormalization and effective field theory
K. Costello, · 2011
Cited alongside, same era.
L. Ferro, Yangian Symmetry in N=4 super Yang-Mills · 2011
Cited alongside, same era.
D. Maulik and A. Okounkov, Quantum cohomology and quantum groups · 2012
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R. Moraru and N. Saulina, OPE of Wilson-’t Hooft operators in N=4 and N=2 SYM with gauge group G=PSU(3) · 2012
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K. Costello, Supersymmetric gauge theory and the Yangian · 2013
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Lectures on Mathematical aspects of (twisted) supersymmetric gauge theories,
K. Costello and C. Scheimbauer, · 2013
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New Integrable Models from the Gauge/YBE Correspondence, 2013
M. Yamazaki, · 2013
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Available at http://math.northwestern.edu/~costello/renormalization.html (2012)
K. Costello and O. Gwilliam, Factorization algebras in perturbative quantum field theory · 2012
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