Quantum Algebraic Structures In Field Theories

Quantum stabilizer codes, lattices, and CFTs

Autores: Anatoly Dymarsky, Alfred Shapere
Publicado en: Journal of High Energy Physics, Edición 2021/3, 2021, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep03(2021)160

Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data

Autores: Alexander Tsymbaliuk
Publicado en: Letters in Mathematical Physics, Edición 110/8, 2020, Página(s) 2083-2111, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01287-9

Crystal Volumes and Monopole Dynamics

Autores: Sergey A. Cherkis, Rebekah Cross
Publicado en: Communications in Mathematical Physics, Edición 377/1, 2020, Página(s) 503-529, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03556-8

Flag Manifold Sigma Models and Nilpotent Orbits

Autores: Dmitri V. Bykov
Publicado en: Proceedings of the Steklov Institute of Mathematics, Edición 309/1, 2020, Página(s) 78-86, ISSN 0081-5438
Editor: Springer Verlag
DOI: 10.1134/s0081543820030062

Duality of Lusztig and RTT integral forms of U v ( L sl n

Autores: Alexander Tsymbaliuk
Publicado en: Journal of Pure and Applied Algebra, Edición 225/1, 2021, Página(s) 106469, ISSN 0022-4049
Editor: Elsevier BV
DOI: 10.1016/j.jpaa.2020.106469

KP integrability of triple Hodge integrals, I. From Givental group to hierarchy symmetries

Autores: Alexander Alexandrov
Publicado en: Communications in Number Theory and Physics, Edición 15/3, 2021, Página(s) 615-650, ISSN 1931-4523
Editor: International Press of Boston, Inc.
DOI: 10.4310/cntp.2021.v15.n3.a6

$$\underline{p}$$-reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$-algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$

Autores: Sylvain Carpentier, Alberto De Sole, Victor G. Kac, Daniele Valeri, Johan van de Leur
Publicado en: Communications in Mathematical Physics, Edición 380/2, 2020, Página(s) 655-722, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-020-03817-x

Conformal group theory of tensor structures

Autores: Ilija Burić, Volker Schomerus, Mikhail Isachenkov
Publicado en: Journal of High Energy Physics, Edición 2020/10, 2020, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep10(2020)004

Weighted Hurwitz numbers and topological recursion: An overview

Autores: A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Publicado en: Journal of Mathematical Physics, Edición 59/8, 2018, Página(s) 081102, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.5013201

Partition Functions of $$\mathcal{N}=(2,2)$$ Supersymmetric Sigma Models and Special Geometry on the Moduli Spaces of Calabi-Yau Manifolds

Autores: A. A. Belavin, B. A. Eremin
Publicado en: Theoretical and Mathematical Physics, Edición 201/2, 2019, Página(s) 1606-1613, ISSN 0040-5779
Editor: Maik Nauka/Interperiodica Publishing
DOI: 10.1134/s0040577919110060

Quiver W-algebras

Autores: Taro Kimura, Vasily Pestun
Publicado en: Letters in Mathematical Physics, 2017, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1072-1

Asymptotic freedom in the BV formalism

Autores: Chris Elliott, Brian Williams, Philsang Yoo
Publicado en: Journal of Geometry and Physics, Edición 123, 2018, Página(s) 246-283, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/j.geomphys.2017.08.009

Quivers, Line Defects and Framed BPS Invariants

Autores: Michele Cirafici
Publicado en: Annales Henri Poincaré, Edición 19/1, 2018, Página(s) 1-70, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-017-0611-0

Quiver elliptic W-algebras

Autores: Taro Kimura, Vasily Pestun
Publicado en: Letters in Mathematical Physics, 2017, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1073-0

Introduction to localization in quantum field theory

Autores: Vasily Pestun, Maxim Zabzine
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 50/44, 2017, Página(s) 443001, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa5704

Review of localization in geometry

Autores: Vasily Pestun
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 50/44, 2017, Página(s) 443002, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa6161

Topological Twists of Supersymmetric Algebras of Observables

Autores: Chris Elliott, Pavel Safronov
Publicado en: Communications in Mathematical Physics, 2019, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03393-9

Fractional quiver W-algebras

Autores: Taro Kimura, Vasily Pestun
Publicado en: Letters in Mathematical Physics, Edición 108/11, 2018, Página(s) 2425-2451, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1087-7

Three-term recurrence relations of minimal affinizations of type G2

Autores: Li Qiao, Jian-Rong Li
Publicado en: Journal of Lie Theory, Edición 27 No 4, 2017, Página(s) 1119--1140, ISSN 0949-5932
Editor: Heldermann Verlag

A Family of GL<sub>r</sub> Multiplicative Higgs Bundles on Rational Base

Autores: Rouven Frassek, Vasily Pestun
Publicado en: Symmetry, Integrability and Geometry: Methods and Applications, 2019, ISSN 1815-0659
Editor: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2019.031

Bands and gaps in Nekrasov partition function

Autores: A. Gorsky, A. Milekhin, N. Sopenko
Publicado en: Journal of High Energy Physics, Edición 2018/1, 2018, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep01(2018)133

Towards a full solution of the large N double-scaled SYK model

Autores: Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents
Publicado en: Journal of High Energy Physics, Edición 2019/3, 2019, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep03(2019)079

Good IR duals of bad quiver theories

Autores: Anindya Dey, Peter Koroteev
Publicado en: Journal of High Energy Physics, Edición 2018/5, 2018, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/JHEP05(2018)114

Multiplicative Hitchin systems and supersymmetric gauge theory

Autores: Chris Elliott, Vasily Pestun
Publicado en: Selecta Mathematica, Edición 25/4, 2019, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-019-0510-y

Chiral algebras from Ω-deformation

Autores: Jihwan Oh, Junya Yagi
Publicado en: Journal of High Energy Physics, Edición 2019/8, 2019, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/JHEP08(2019)143

A Physical Origin for Singular Support Conditions in Geometric Langlands Theory

Autores: Chris Elliott, Philsang Yoo
Publicado en: Communications in Mathematical Physics, Edición 368/3, 2019, Página(s) 985-1050, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03438-z

A-type Quiver Varieties and ADHM Moduli Spaces

Autores: Peter Koroteev
Publicado en: Communications in Mathematical Physics, Edición 381/1, 2021, Página(s) 175-207, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-020-03915-w

On quiver W-algebras and defects from gauge origami

Autores: Peter Koroteev
Publicado en: Physics Letters B, Edición 800, 2020, Página(s) 135101, ISSN 0370-2693
Editor: Elsevier BV
DOI: 10.1016/j.physletb.2019.135101

Shifted Quantum Affine Algebras: Integral Forms in Type A

Autores: Michael Finkelberg, Alexander Tsymbaliuk
Publicado en: Arnold Mathematical Journal, Edición 5/2-3, 2019, Página(s) 197-283, ISSN 2199-6792
Editor: Arnold Mathematical Journal
DOI: 10.1007/s40598-019-00118-7

Dynamics of global and local vortices with orientational moduli

Autores: Minoru Eto, Adam Peterson, Fidel I. Schaposnik Massolo, Gianni Tallarita
Publicado en: Journal of High Energy Physics, Edición 2021/3, 2021, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep03(2021)156

The information loss of a stochastic map

Autores: James Fullwood, Arthur J. Parzygnat
Publicado en: 2021
Editor: arXiv

Inverses, disintegrations, and Bayesian inversion in quantum Markov categories

Autores: Arthur J. Parzygnat
Publicado en: 2020
Editor: arXiv

Noncommutative Differential K-theory

Autores: Byungdo Park, Arthur J. Parzygnat, Corbett Redden, Augusto Stoffel
Publicado en: 2021
Editor: arXiv

Super instanton counting and localization

Autores: Taro Kimura, Vasily Pestun
Publicado en: 2019
Editor: arXiv

Towards non-perturbative quantization and the mass gap problem for the Yang-Mills Field

Autores: Alexey Sevostyanov
Publicado en: 2021
Editor: arXiv

Quantum affine algebras and Grassmannians

Autores: Wen Chang, Bing Duan, Chris Fraser, Jian-Rong Li
Publicado en: 2019
Editor: arXiv

Gamma function solutions to the star-triangle equation

Autores: Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade, Gonenc Mogol
Publicado en: 2020
Editor: arXiv

Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture

Autores: Alexey Sevostyanov
Publicado en: 2021
Editor: arXiv

Conditional Distributions for Quantum Systems

Autores: Arthur J. Parzygnat
Publicado en: 2021
Editor: arXiv

Lax matrices from antidominantly shifted Yangians and quantum affine algebras

Autores: Rouven Frassek, Vasily Pestun, Alexander Tsymbaliuk
Publicado en: 2020
Editor: arXiv

R matrix for quantum superalgebra sl(2|1) at roots of unity and its application to centralizer algebras

Autores: Alexander Mazurenko, Vladimir A. Stukopin
Publicado en: 2019
Editor: arXiv

Tensor network language model

Autores: Vasily Pestun, Yiannis Vlassopoulos
Publicado en: arXiv, 2017
Editor: arXiv

Language as a matrix product state

Autores: Vasily Pestun, John Terilla, Yiannis Vlassopoulos
Publicado en: arXiv, 2017
Editor: arXiv

The holomorphic bosonic string

Autores: Owen Gwilliam, Brian Williams
Publicado en: arXiv, 2017, ISSN 2331-8422
Editor: Cornell University

From minimal gravity to open intersection theory

Autores: Alexander Alexandrov, Hisayoshi Muraki, Chaiho Rim
Publicado en: arXiv, 2019, ISSN 2331-8422
Editor: Cornell University

Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I

Autores: Michele Cirafici, Michele Del Zotto
Publicado en: arXiv, 2017
Editor: arXiv

qKZ/tRS Duality via Quantum K-Theoretic Counts

Autores: Peter Koroteev
Publicado en: arXiv, 2018
Editor: arXiv

A functorial characterization of von Neumann entropy

Autores: Arthur J. Parzygnat
Publicado en: 2020
Editor: arXiv

A Taxonomy of Twists of Supersymmetric Yang--Mills Theory

Autores: Chris Elliott, Pavel Safronov, Brian R. Williams
Publicado en: 2020
Editor: arXiv

Twisted reduction of quiver W-algebras

Autores: Taro Kimura, Vasily Pestun
Publicado en: 2019
Editor: arXiv

Equivariant birational geometry and modular symbols

Autores: Maxim Kontsevich, Vasily Pestun, Yuri Tschinkel
Publicado en: 2019
Editor: arXiv

Weighted Hurwitz Numbers and Topological Recursion

Autores: A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Publicado en: Communications in Mathematical Physics, Edición 375/1, 2020, Página(s) 237-305, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-020-03717-0

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