Geometry of the Constraint Sets for Yang–Mills–Dirac Equations with Inhomogeneous Boundary Conditions

1999 ◽  
Vol 203 (3) ◽  
pp. 707-712
Author(s):  
Jedrzej Śniatycki
Keyword(s):  
Boundary Conditions ◽  
Yang Mills ◽  
Dirac Equations ◽  
Constraint Sets

scholarly journals Boundary conditions for SU(2) Yang-Mills on AdS 4

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
Dileep P. Jatkar ◽  
Jae-Hyuk Oh
Keyword(s):  
Boundary Conditions ◽  
Yang Mills

scholarly journals Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

2019 ◽  
Vol 22 (01) ◽  
pp. 1950001 ◽  
Author(s):  
Boris O. Volkov
Keyword(s):  
Differential Operators ◽  
Equations Of Motion ◽  
Parallel Transport ◽  
System Of Differential Equations ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Dirac Equations ◽  
Lévy Laplacian ◽  
Higgs Fields

We study the Lévy infinite-dimensional differential operators (differential operators defined by the analogy with the Lévy Laplacian) and their relationship to the Yang–Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional analogue of chiral fields and show that it is a solution to the system of differential equations if and only if the associated connection is a solution to the Yang–Mills equations. This system is an analogue of the equations of motion of chiral fields and contains the Lévy divergence. The systems of infinite-dimensional equations containing Lévy differential operators, that are equivalent to the Yang–Mills–Higgs equations and the Yang–Mills–Dirac equations (the equations of quantum chromodynamics), are obtained. The equivalence of two ways to define Lévy differential operators is shown.

Dirac equations for generalised Yang-Mills systems

1985 ◽  
Vol 162 (1-3) ◽  
pp. 143-147 ◽  
Author(s):  
O. Lechtenfeld ◽  
W. Nahm ◽  
D.H. Tchrakian
Keyword(s):  
Yang Mills ◽  
Dirac Equations

INVESTIGATION OF THE CONSTRAINTS ON TWISTED AND UNTWISTED YANG–MILLS THEORIES IN A SLAB

1991 ◽  
Vol 06 (31) ◽  
pp. 2893-2900
Author(s):  
A. R. LEVI
Keyword(s):  
Boundary Conditions ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
One Dimension ◽  
Yang Mills ◽  
Quantum Constraints

BRST is used to investigate the consistency of the quantum constraints for Yang–Mills theories based on twisted and untwisted SU (N) in a slab with periodic boundary conditions in one dimension.

scholarly journals On Dirichlet Type Problems of Polynomial Dirac Equations with Boundary Conditions

2013 ◽  
Vol 64 (1-2) ◽  
pp. 193-213 ◽  
Author(s):  
Denis Constales ◽  
Dennis Grob ◽  
Rolf Sören Kraußhar
Keyword(s):  
Boundary Conditions ◽  
Dirac Equations ◽  
Dirichlet Type

scholarly journals Truncations of W\infinity Algebras

2020 ◽  
Author(s):  
Mohammed Akram Fellah
Keyword(s):  
Gauge Theory ◽  
Boundary Conditions ◽  
Vertex Operator ◽  
Operator Algebras ◽  
Vertex Operator Algebras ◽  
Yang Mills ◽  
New Class

We introduce a new class of Vertex Operator Algebras Y+ and their duals, which generalize the standard W-algebras WN of type sl(N). These algebras can be defined in terms of junctions of boundary conditions and interfaces in the GL-twisted N = 4 Super Yang Mills gauge theory. The aim of these technical calculations is to find the relation of these ortho-symplectic Y-algebras to truncations of even W\infinity.

scholarly journals FIVE-DIMENSIONAL VECTOR-COUPLED SUPERGRAVITY ON A MANIFOLD WITH BOUNDARIES

2007 ◽  
Vol 22 (30) ◽  
pp. 2247-2263 ◽  
Author(s):  
SEAN McREYNOLDS
Keyword(s):  
Boundary Conditions ◽  
Vector Fields ◽  
Symmetric Tensor ◽  
Matter Content ◽  
Dimensional Vector ◽  
Classical Action ◽  
Yang Mills ◽  
Chern Simons

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell– and Yang–Mills–Einstein supergravity theories on a spacetime with boundaries (isomorphic to M×S1/ℤ2). Due to the appearance of the "Chern–Simons" term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an "inflow" governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions.

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