Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
نویسندگان
چکیده
منابع مشابه
Walls and Vortices in Supersymmetric Non-abelian Gauge Theories
We review recent results on the BPS multi-wall solutions in supersymmetric U(NC) gauge theories in five dimensions with NF(> NC) hypermultiplets in the fundamental representation. Total moduli space of the BPS non-Abelian walls is found to be the complex Grassmann manifold SU(NF)/[SU(NC)×SU(NF−NC)×U(1)]. Exact solutions are obtained with full generic moduli for infinite gauge coupling. A 1/4 BP...
متن کاملExistence of multiple vortices in supersymmetric gauge field theory
Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gauge symmetry group G =U (1)× SU (N ) and with N Higgs scalar fields in the fundamental representation of G. Specifically, when the space of extra dimension is compact so that vortices are hosted in a 2-torus o...
متن کاملVortices in (abelian) Chern-Simons gauge theory
The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...
متن کاملNon-Abelian Walls in Supersymmetric Gauge Theories
The Bogomol’nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed in supersymmetric U(NC) gauge theories in five dimensions with NF(> NC) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations fo...
متن کاملQuantum field theory of non-abelian strings and vortices
We develop an operator formalism for investigating the properties of non-abelian cosmic strings (and vortices) in quantum field theory. Operators are constructed that introduce classical string sources and that create dynamical string loops. The operator construction in lattice gauge theory is explicitly described, and correlation functions are computed in the strong-coupling and weak-coupling ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2012
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1433-z