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

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 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.

scholarly journals Hamiltonian approaches of field theory

2004 ◽  
Vol 2004 (57) ◽  
pp. 3045-3056 ◽  
Author(s):  
Constantin Udrişte ◽  
Ana-Maria Teleman
Keyword(s):  
Field Theory ◽  
Differential Geometry ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Single Time ◽  
Yang Mills ◽  
Hamiltonian Theory ◽  
Dual Action

We extend some results and concepts of single-time covariant Hamiltonian field theory to the new context of multitime covariant Hamiltonian theory. In this sense, we point out the role of the polysymplectic structureδ⊗J, we prove that the dual action is indefinite, we find the eigenvalues and the eigenfunctions of the operator(δ⊗J)(∂/∂t)with periodic boundary conditions, and we obtain interesting inequalities relating functionals created by the new context. As an important example for physics and differential geometry, we study the multitime Yang-Mills-Witten Hamiltonian, extending the Legendre transformation in a suitable way. Our original results are accompanied by well-known relations between Lagrangian and Hamiltonian, and by geometrical explanations regarding the Yang-Mills-Witten Lagrangian.

scholarly journals Open fishchain in N = 4 Supersymmetric Yang-Mills Theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Nikolay Gromov ◽  
Julius Julius ◽  
Nicolò Primi
Keyword(s):  
Boundary Conditions ◽  
Degrees Of Freedom ◽  
Wilson Line ◽  
Physical Space ◽  
Scalar Fields ◽  
Open Boundary ◽  
Baxter Equation ◽  
Open Boundary Conditions ◽  
Yang Mills ◽  
Feynman Graphs

Abstract We consider a cusped Wilson line with J insertions of scalar fields in $$ \mathcal{N} $$ N = 4 SYM and prove that in a certain limit the Feynman graphs are integrable to all loop orders. We identify the integrable system as a quantum fishchain with open boundary conditions. The existence of the boundary degrees of freedom results in the boundary reflection operator acting non-trivially on the physical space. We derive the Baxter equation for Q-functions and provide the quantisation condition for the spectrum. This allows us to find the non-perturbative spectrum numerically.

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