Wilson loop algebras and quantum K-theory for Grassmannians

被引：11

作者：

Jockers, Hans ^{[1
]}

Mayr, Peter ^{[2
]}

Ninad, Urmi ^{[1
]}

Tabler, Alexander ^{[2
]}

机构：

[1] Univ Bonn, Bethe Ctr Theoret Phys, Phys Inst, D-53115 Bonn, Germany

[2] Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2020年 / 2020卷 / 10期

关键词：

Chern-Simons Theories; Supersymmetric Gauge Theory; Wilson; 't Hooft and Polyakov loops;

D O I：

10.1007/JHEP10(2020)036

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study the algebra of Wilson line operators in three-dimensional N = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for Gr(M, N ). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M, N ), isomorphic to the Verlinde algebra for U(M ), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.

引用

页数：20

共 52 条

[1]

[Anonymous], ARXIV180606717

[2]

[Anonymous], hep-th/9312104

[3]

[Anonymous], Clay Mathematics Monographs

[4]

[Anonymous], ARXIV13022164

[5] Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians [J].

Batyrev, VV ;

Ciocan-Fontanine, I ;

Kim, B ;

van Straten, D .

NUCLEAR PHYSICS B, 1998, 514 (03) :640-666

[6] Holomorphic blocks in three dimensions [J].

Beem, Christopher ;

Dimofte, Tudor ;

Pasquetti, Sara .

JOURNAL OF HIGH ENERGY PHYSICS, 2014, (12) :1-120

[7]

Benini F, 2017, P SYMP PURE MATH, V96, P13

[8] Comments on 3d Seiberg-like dualities [J].

Benini, Francesco ;

Closset, Cyril ;

Cremonesi, Stefano .

JOURNAL OF HIGH ENERGY PHYSICS, 2011, (10)

[9] QUANTUM K-THEORY OF GRASSMANNIANS [J].

Buch, Anders S. ;

Mihalcea, Leonardo C. .

DUKE MATHEMATICAL JOURNAL, 2011, 156 (03) :501-538

[10] ON CLASSIFICATION OF N = 2 SUPERSYMMETRIC THEORIES [J].

CECOTTI, S ;

VAFA, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (03) :569-644

← 1 2 3 4 5 6 →