Overlaps and fermionic dualities for integrable super spin chains

被引:15
|
作者
Kristjansen, Charlotte [1 ]
Muller, Dennis [2 ,3 ]
Zarembo, Konstantin [1 ,2 ,3 ,4 ]
机构
[1] Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
[2] KTH Royal Inst Technol, NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
[3] Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
[4] ITEP, Moscow, Russia
关键词
Bethe Ansatz; Lattice Integrable Models; Integrable Field Theories; Brane Dynamics in Gauge Theories; ONE-POINT FUNCTIONS; BETHE-ANSATZ; Q-OPERATORS; EQUATIONS; MATRIX;
D O I
10.1007/JHEP03(2021)100
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
The psu(2, 2|4) integrable super spin chain underlying the AdS/CFT correspondence has integrable boundary states which describe set-ups where k D3-branes get dissolved in a probe D5-brane. Overlaps between Bethe eigenstates and these boundary states encode the one-point functions of conformal operators and are expressed in terms of the superdeterminant of the Gaudin matrix that in turn depends on the Dynkin diagram of the symmetry algebra. The different possible Dynkin diagrams of super Lie algebras are related via fermionic dualities and we determine how overlap formulae transform under these dualities. As an application we show how to consistently move between overlap formulae obtained for k = 1 from different Dynkin diagrams.
引用
收藏
页数:27
相关论文
共 50 条
  • [31] INVARIANT MEASURES FOR INTEGRABLE SPIN CHAINS AND AN INTEGRABLE DISCRETE NONLINEAR SCHRODINGER EQUATION
    Angelopoulos, Yannis
    Killip, Rowan
    Visan, Monica
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (01) : 135 - 163
  • [32] Spectral dualities in XXZ spin chains and five dimensional gauge theories
    A. Mironov
    A. Morozov
    B. Runov
    Y. Zenkevich
    A. Zotov
    Journal of High Energy Physics, 2013
  • [33] Spectral dualities in XXZ spin chains and five dimensional gauge theories
    Mironov, A.
    Morozov, A.
    Runov, B.
    Zenkevich, Y.
    Zotov, A.
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (12):
  • [34] The magnetocaloric effect in integrable spin-s chains
    Ribeiro, G. A. P.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [35] Form factors of integrable Heisenberg (higher) spin chains
    Castro-Alvaredo, O. A.
    Maillet, J. M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (27) : 7451 - 7471
  • [36] Crosscap States in Integrable Field Theories and Spin Chains
    Caetano, Joao
    Komatsu, Shota
    JOURNAL OF STATISTICAL PHYSICS, 2022, 187 (03)
  • [37] Crosscap States in Integrable Field Theories and Spin Chains
    João Caetano
    Shota Komatsu
    Journal of Statistical Physics, 2022, 187
  • [38] Long-range deformations for integrable spin chains
    Bargheer, Till
    Beisert, Niklas
    Loebbert, Florian
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (28)
  • [39] Algebraic representation of correlation functions in integrable spin chains
    Boos, H.
    Jimbo, M.
    Miwa, T.
    Smirnov, F.
    Takeyama, Y.
    ANNALES HENRI POINCARE, 2006, 7 (7-8): : 1395 - 1428
  • [40] Subdiffusive hydrodynamics of nearly integrable anisotropic spin chains
    De Nardis, Jacopo
    Gopalakrishnan, Sarang
    Vasseur, Romain
    Ware, Brayden
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2022, 119 (34)