Introduction to Some Common Topics in Gauge Theory and Spin Systems

2000 ◽  
pp. 171-233
Author(s):  
Gianluca Grignani ◽  
Gordon W. Semenoff
Keyword(s):  
Gauge Theory ◽  
Spin Systems

scholarly journals Quantum spin systems and supersymmetric gauge theories. Part I

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Norton Lee ◽  
Nikita Nekrasov
Keyword(s):  
Gauge Theory ◽  
Spin Chain ◽  
Gauge Theories ◽  
Surface Defects ◽  
Toda Chain ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge

Abstract The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the N site $$ \mathfrak{sl} $$ sl 2X X X spin chain (for infinite dimensional complex spin representations), as well as the SLN Gaudin system, which reduces, in a limiting case, to that of the N-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along the way we explore the chamber dependence of the supersymmetric partition function, also the expectation value of the surface defects, giving new evidence for the AGT conjecture.

Fermionized spin systems and the boson-fermion mapping in (2+1)-dimensional gauge theory

1989 ◽  
Vol 226 (1-2) ◽  
pp. 107-112 ◽  
Author(s):  
J. Ambjørn ◽  
G.W. Semenoff
Keyword(s):  
Gauge Theory ◽  
Spin Systems

Graphical displays of the motion of spin systems

1996 ◽  
Vol 89 (5) ◽  
pp. 1397-1408 ◽  
Author(s):  
LAWRENCE LOHR
Keyword(s):  
Spin Systems ◽  
Graphical Displays

GAUGE THEORY AND FUNCTIONAL HARMONIC MAPPING

1981 ◽  
Vol 1 (2) ◽  
pp. 257-259
Author(s):  
Hanying Guo
Keyword(s):  
Gauge Theory ◽  
Harmonic Mapping

Dipole magnetic ordering in nuclear spin-spin systems

1975 ◽  
Vol 116 (7) ◽  
pp. 485 ◽  
Author(s):  
V.G. Pokazan'ev ◽  
G.V. Skrotskii ◽  
L.I. Yakub
Keyword(s):  
Nuclear Spin ◽  
Magnetic Ordering ◽  
Spin Systems
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