scholarly journals SpontaneousZ2symmetry breaking in the orbifold daughter ofN=1super-Yang-Mills theory, fractional domain walls and vacuum structure

2005 ◽  
Vol 72 (10) ◽  
Author(s):  
A. Armoni ◽  
A. Gorsky ◽  
M. Shifman
Keyword(s):  
Domain Walls ◽  
Yang Mills ◽  
Vacuum Structure

scholarly journals Domain walls in 4d $$ \mathcal{N} $$ = 1 SYM

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Diego Delmastro ◽  
Jaume Gomis
Keyword(s):  
Domain Wall ◽  
Domain Walls ◽  
Simons Theory ◽  
Partition Functions ◽  
Quantum Field Theories ◽  
Yang Mills ◽  
Stable Domain ◽  
Coxeter Number ◽  
Topological Quantum ◽  
Simply Connected

Abstract 4d$$ \mathcal{N} $$ N = 1 super Yang-Mills (SYM) with simply connected gauge group G has h gapped vacua arising from the spontaneously broken discrete R-symmetry, where h is the dual Coxeter number of G. Therefore, the theory admits stable domain walls interpolating between any two vacua, but it is a nonperturbative problem to determine the low energy theory on the domain wall. We put forward an explicit answer to this question for all the domain walls for G = SU(N), Sp(N), Spin(N) and G2, and for the minimal domain wall connecting neighboring vacua for arbitrary G. We propose that the domain wall theories support specific nontrivial topological quantum field theories (TQFTs), which include the Chern-Simons theory proposed long ago by Acharya-Vafa for SU(N). We provide nontrivial evidence for our proposals by exactly matching renormalization group invariant partition functions twisted by global symmetries of SYM computed in the ultraviolet with those computed in our proposed infrared TQFTs. A crucial element in this matching is constructing the Hilbert space of spin TQFTs, that is, theories that depend on the spin structure of spacetime and admit fermionic states — a subject we delve into in some detail.

On the vacuum structure of an SU(2) Yang-Mills theory

1979 ◽  
Vol 16 (2) ◽  
pp. 281-291 ◽  
Author(s):  
D.H. Mayer ◽  
K.S. Viswanathan
Keyword(s):  
Yang Mills ◽  
Vacuum Structure

scholarly journals New soliton solutions of anti-self-dual Yang-Mills equations

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Masashi Hamanaka ◽  
Shan-Chi Huang
Keyword(s):  
Gauge Group ◽  
Darboux Transformation ◽  
Domain Walls ◽  
Soliton Solutions ◽  
Real Space ◽  
Explicit Calculation ◽  
Yang Mills ◽  
Action Density ◽  
New Type ◽  
Exact Soliton Solutions

Abstract We study exact soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2) in four-dimensional spaces with the Euclidean, Minkowski and Ultrahyperbolic signatures and construct special kinds of one-soliton solutions whose action density TrFμνFμν can be real-valued. These solitons are shown to be new type of domain walls in four dimension by explicit calculation of the real-valued action density. Our results are successful applications of the Darboux transformation developed by Nimmo, Gilson and Ohta. More surprisingly, integration of these action densities over the four-dimensional spaces are suggested to be not infinity but zero. Furthermore, whether gauge group G = U(2) can be realized on our solition solutions or not is also discussed on each real space.

scholarly journals N=1super Yang-Mills domain walls via the extended Veneziano-Yankielowicz theory

2005 ◽  
Vol 71 (12) ◽  
Author(s):  
P. Merlatti ◽  
F. Sannino ◽  
G. Vallone ◽  
F. Vian
Keyword(s):  
Domain Walls ◽  
Yang Mills

scholarly journals BPS Domain Walls in super Yang-Mills and Landau-Ginzburg models

2001 ◽  
Vol 2001 (08) ◽  
pp. 056-056 ◽  
Author(s):  
Beatriz De Carlos ◽  
Mark. B Hindmarsh ◽  
Neil McNair ◽  
Jesus M Moreno
Keyword(s):  
Domain Walls ◽  
Yang Mills

scholarly journals Interactions of domain walls of SUSY Yang-Mills as D-branes

2006 ◽  
Vol 2006 (02) ◽  
pp. 072-072 ◽  
Author(s):  
Adi Armoni ◽  
Timothy J Hollowood
Keyword(s):  
Domain Walls ◽  
Yang Mills

scholarly journals QUARKS AS TOPOLOGICAL DEFECTS — OR, WHAT IS CONFINED INSIDE A HADRON?

1993 ◽  
Vol 08 (31) ◽  
pp. 5575-5604 ◽  
Author(s):  
A. KOVNER ◽  
B. ROSENSTEIN
Keyword(s):  
Magnetic Flux ◽  
Topological Charge ◽  
Domain Walls ◽  
Topological Defects ◽  
Complex Scalar ◽  
Yang Mills ◽  
Effective Lagrangian ◽  
Local Complex ◽  
Complex Scalar Field ◽  
The One

We present a picture of confinement based on representation of constituent quarks as pointlike topological defects. The topological charge carried by quarks and confined in hadrons is explicitly constructed in terms of Yang-Mills variables. In 2+1 dimensions we are able to construct a local complex scalar field V(x), in terms of which the topological charge is [Formula: see text]. The VEV of the field V in the confining phase is nonzero and the charge is the winding number corresponding to homotopy group π1(S1). Quarks carry the charge Q and therefore are topological solitons. The phase rotation of V is generated by the operator of magnetic flux. Unlike in QED, the U(1) magnetic flux is explicitly broken by the monopoles. This results in formation of a string between a quark and an antiquark. The effective Lagrangian for V is derived in models with adjoint and fundamental quarks. This topological mechanism of confinement is basically different from the one proposed by ’t Hooft in which the elementary objects are linelike domain walls. A baryon is described as a Y-shaped configuration of strings. In 3+1 dimensions the explicit expression for V, and therefore a detailed picture, is not available. However, assuming the validity of the same mechanism we point out several interesting qualitative consequences.

scholarly journals More on Softly Broken N = 2 QCD

1997 ◽  
Vol 12 (05) ◽  
pp. 975-1002 ◽  
Author(s):  
Luis Álvarez-Gaumé ◽  
Marcos Mariño
Keyword(s):  
Gauge Theories ◽  
Yang Mills ◽  
First Order ◽  
Vacuum Structure ◽  
First Order Phase Transition ◽  
General Mass ◽  
Breaking Parameter ◽  
Bps States ◽  
First Order Phase ◽  
General Gauge

We extend previous work on the soft breaking of N = 2 supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure SU (N) Yang–Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the SU(2) case. Finally we analyze the vacuum structure of the SU(2) theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by nonmutually local BPS states. This could be a hint of Argyres–Douglas-like phases in nonsupersymmetric gauge theories.

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