Hamiltonian Formulation of Two-Dimensional Gauge Theories on the Light-Cone

1990 ◽  
pp. 119-166
Author(s):  
F. Lenz
Keyword(s):  
Light Cone ◽  
Gauge Theories ◽  
Hamiltonian Formulation ◽  
Two Dimensional

Hamiltonian formulation of two-dimensional gauge theories on the light cone

1991 ◽  
Vol 208 (1) ◽  
pp. 1-89 ◽  
Author(s):  
F Lenz ◽  
M Thies ◽  
S Levit ◽  
K Yazaki
Keyword(s):  
Light Cone ◽  
Gauge Theories ◽  
Hamiltonian Formulation ◽  
Two Dimensional

scholarly journals PHYSICAL STATES IN TWO-DIMENSIONAL TOPOLOGICAL GAUGE THEORIES

1993 ◽  
Vol 08 (17) ◽  
pp. 1603-1609
Author(s):  
YOSHIAKI TANII ◽  
MASAKAZU YAMASHITA
Keyword(s):  
Infinite Number ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Abelian Theory

Physical states of two-dimensional topological gauge theories are studied using the BRST formalism in the light-cone gauge. All physical states are obtained for the Abelian theory. An infinite number of physical states with different ghost numbers exist. Simple examples of physical states in a non-Abelian theory are also given.

ON THE BRST APPROACH TO TWO-DIMENSIONAL GAUGE THEORIES IN THE LIGHT-CONE GAUGE

1990 ◽  
Vol 05 (12) ◽  
pp. 927-933 ◽  
Author(s):  
YOSHIAKI TANII
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Physical Meaning ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Brst Charge

The physical meaning of the second BRST-like charge, which exists in addition to the ordinary BRST charge in two-dimensional gauge theories in the light-cone gauge, is clarified. It results from the redundancy of the parametrization of the gauge field in terms of a group-valued scalar field and has a similar structure to the ordinary one.

scholarly journals Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Tadashi Okazaki ◽  
Douglas J. Smith
Keyword(s):  
String Theory ◽  
Boundary Conditions ◽  
Gauge Theories ◽  
Holomorphic Curve ◽  
Two Dimensional ◽  
Supersymmetric Gauge Theories ◽  
Special Lagrangian ◽  
Supersymmetric Gauge ◽  
M Theory

Abstract We derive general BPS boundary conditions in two-dimensional $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $$ \mathcal{N} $$ N = (2, 2) supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ℂ2 with a special Lagrangian 3-cycle in ℂ3.

scholarly journals Circular quiver gauge theories, isomonodromic deformations and $$W_N$$ fermions on the torus

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Giulio Bonelli ◽  
Fabrizio Del Monte ◽  
Pavlo Gavrylenko ◽  
Alessandro Tanzini
Keyword(s):  
Integrable System ◽  
Gauge Theories ◽  
The Self ◽  
Free Fermion ◽  
Two Dimensional ◽  
Isomonodromic Deformation ◽  
Specific Time ◽  
Dimensional Torus ◽  
Isomonodromic Deformations ◽  
Deformation Problem

AbstractWe study the relation between class $$\mathcal {S}$$ S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two-dimensional torus with punctures. Turning on the self-dual $$\Omega $$ Ω -background corresponds to a deautonomization of the Seiberg–Witten integrable system which implies a specific time dependence in its Hamiltonians. We show that the corresponding $$\tau $$ τ -function is proportional to the dual gauge theory partition function, the proportionality factor being a nontrivial function of the solution of the deautonomized Seiberg–Witten integrable system. This is obtained by mapping the isomonodromic deformation problem to $$W_N$$ W N free fermion correlators on the torus.

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

EQUIVALENCE OF TWO-DIMENSIONAL GRAVITIES

1990 ◽  
Vol 05 (16) ◽  
pp. 1251-1258 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Gauge Theory ◽  
Explicit Solution ◽  
Light Cone ◽  
Equations Of Motion ◽  
Two Dimensional ◽  
Induced Gravity ◽  
Light Cone Gauge ◽  
Dimensional Gravity ◽  
The Relationship ◽  
Chern Simons

We find the relationship between the Jackiw-Teitelboim model of two-dimensional gravity and the SL (2, R) induced gravity. These are shown to be related to a two-dimensional gauge theory obtained by dimensionally reducing the Chern-Simons action of the 2+1 dimensional gravity. We present an explicit solution to the equations of motion of the auxiliary field of the Jackiw-Teitelboim model in the light-cone gauge. A renormalization of the cosmological constant is also given.

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