Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Edward Frenkel"'
Autor:
Edward Frenkel, Davide Gaiotto
Publikováno v:
Communications in Number Theory and Physics. 14:199-313
We review and extend the vertex algebra framework linking gauge theory constructions and a quantum deformation of the Geometric Langlands Program. The relevant vertex algebras are associated to junctions of two boundary conditions in a 4d gauge theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca6e5c3fba367474d2364993e59c2321
https://doi.org/10.4310/cntp.2020.v14.n2.a1
https://doi.org/10.4310/cntp.2020.v14.n2.a1
Autor:
Edward Frenkel, Tomoyuki Arakawa
Publikováno v:
Compositio Mathematica. 155:2235-2262
We prove duality isomorphisms of certain representations of W-algebras which play an essential role in the quantum geometric Langlands Program and some related results.
Comment: 30 pages, to appear in Compositio Mathematica
Comment: 30 pages, to appear in Compositio Mathematica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4de632fc003395d68444a2ea853739c8
https://doi.org/10.1112/s0010437x19007553
https://doi.org/10.1112/s0010437x19007553
Autor:
David Hernandez, Edward Frenkel
Publikováno v:
Communications in Mathematical Physics
We prove a system of relations in the Grothendieck ring of the category O of representations of the Borel subalgebra of an untwisted quantum affine algebra U_q(g^) introduced in [HJ]. This system was discovered in [MRV1, MRV2], where it was shown tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c32e71c72150b64a4fd7d88191dabe8
https://doi.org/10.1007/s00220-018-3194-9
https://doi.org/10.1007/s00220-018-3194-9
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the o
Autor:
Edward Frenkel, Boris Feigin
Publikováno v:
Exploring New Structures and Natural Constructions in Mathematical Physics, K. Hasegawa, T. Hayashi, S. Hosono and Y. Yamada, eds. (Tokyo: Mathematical Society of Japan, 2011)
We consider the problem of quantization of classical soliton integrable systems, such as the KdV hierarchy, in the framework of a general formalism of Gaudin models associated to affine Kac--Moody algebras. Our experience with the Gaudin models assoc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f688fdeaab330ab4fc40b70a1c2c6659
https://doi.org/10.2969/aspm/06110185
https://doi.org/10.2969/aspm/06110185
Publikováno v:
Advances in Mathematics. 288:201-239
We introduce a modular completion of the stack of maps from stable marked curves to the quotient stack [pt/C^x], and use this stack to construct some gauge-theoretic analogues of the Gromov-Witten invariants. We also indicate the generalization of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::039300d4650999776b1013a113030238
https://doi.org/10.1016/j.aim.2015.10.008
https://doi.org/10.1016/j.aim.2015.10.008
Autor:
Edward Frenkel
Publikováno v:
Artificial Intelligence Safety and Security ISBN: 9781351251389
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77d9a3107146ecae7712cef58e93c78d
https://doi.org/10.1201/9781351251389-13
https://doi.org/10.1201/9781351251389-13
Autor:
Edward Frenkel
The geometric Langlands correspondence for complex algebraic curves differs from the original Langlands correspondence for number fields in that it is formulated in terms of sheaves rather than functions (in the intermediate case of curves over finit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7338603295961356a4338e6e948e030a
We formulate a two-parameter generalization of the geometric Langlands correspondence, which we prove for all simply-laced Lie algebras. It identifies the q-conformal blocks of the quantum affine algebra and the deformed W-algebra associated to two L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a96a3a0d8b5c16d726532e81ad1d359
http://arxiv.org/abs/1701.03146
http://arxiv.org/abs/1701.03146
Publikováno v:
INSPIRE-HEP
Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the corresponding models a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9730fd789d12b248e228bf744ee53d46
https://doi.org/10.1017/s1474748011000077
https://doi.org/10.1017/s1474748011000077