Covariant theory of asymptotic symmetries, conservation laws and central charges

G Barnich, F Brandt - Nuclear Physics B, 2002 - Elsevier
Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

Superconformal mechanics

S Fedoruk, E Ivanov, O Lechtenfeld - Journal of Physics A …, 2012 - iopscience.iop.org
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Integrability and Seiberg-Witten exact solution

A Gorsky, I Krichever, A Marshakov, A Mironov… - Physics Letters B, 1995 - Elsevier
The exact Seiberg-Witten (SW) description of the light sector in the N= 2 SUSY 4d Yang-
Mills theory [N. Seiberg and E. Witten, Nucl. Phys. B 430 (1994) 485 (E); B 446 (1994) 19] is …

Gauge theories and Macdonald polynomials

A Gadde, L Rastelli, SS Razamat, W Yan - … in Mathematical Physics, 2013 - Springer
We study the N= 2 four-dimensional superconformal index in various interesting limits, such
that only states annihilated by more than one supercharge contribute. Extrapolating from the …

Supersymmetric vacua and Bethe ansatz

NA Nekrasov, SL Shatashvili - ar** the superconformal index with surface defects
D Gaiotto, L Rastelli, SS Razamat - Journal of High Energy Physics, 2013 - Springer
A bstract The analytic properties of the\(\mathcal {N}= 2\) superconformal index are given a
physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of …

Quantum integrability and supersymmetric vacua

N Nekrasov, S Shatashvili - Progress of Theoretical Physics …, 2009 - academic.oup.com
Supersymmetric vacua of two dimensional N= 4 gauge theories with matter, softly broken by
the twisted masses down to N= 2, are shown to be in one-to-one correspondence with the …

Poisson structure on moduli of flat connections on Riemann surfaces and -matrix

VV Fock, AA Rosly - arxiv preprint math/9802054, 1998 - arxiv.org
We consider the space of graph connections (lattice gauge fields) which can be endowed
with a Poisson structure in terms of a ciliated fat graph.(A ciliated fat graph is a graph with a …

Quantum geometry and quiver gauge theories

N Nekrasov, V Pestun, S Shatashvili - Communications in Mathematical …, 2018 - Springer
We study macroscopically two dimensional N=(2, 2) N=(2, 2) supersymmetric gauge
theories constructed by compactifying the quiver gauge theories with eight supercharges on …

Five-dimensional gauge theories and relativistic integrable systems

N Nekrasov - Nuclear Physics B, 1998 - Elsevier
We propose a non-perturbative solution of N= 2 supersymmetric gauge theory in five
dimensions compactified on circle of a radius R. We consider the cases of the pure gauge …