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Bogomol'nyi-Prasad-Sommerfield solitons in models with spontaneously broken gauge symmetry have been intensively studied at infinite gauge coupling limit, where the governing equation -- so-called master equation -- is exactly solvable.…

High Energy Physics - Theory · Physics 2019-12-06 Filip Blaschke

We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of…

High Energy Physics - Theory · Physics 2014-11-21 Anastasia Doikou , Theodora Ioannidou

We show that generic three-dimensional $\mathcal N=2$ quiver super Chern-Simons-matter theories admit Bogomol'nyi-Prasad-Sommerfield (BPS) Drukker-Trancanelli (DT) type Wilson loops. We investigate both Wilson loops along timelike infinite…

High Energy Physics - Theory · Physics 2016-04-12 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

To a domain wall or string object, Noether charge and topological spatial objects can be attracted, forming a composite BPS (Bogomolny-Prasad-Sommerfield) object. We consider two field theories and derive a new BPS bound on composite linear…

High Energy Physics - Theory · Physics 2008-11-26 Seok Kim , Ki-Myeong Lee , Ho-Ung Yee

Supersymmetric bosonic backgrounds governed by first-order BPS equations, can be realised in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting…

High Energy Physics - Theory · Physics 2021-07-21 Falk Hassler , C. N. Pope , Hao-Yu Zhang

The (generalized) Gross-Pitaevskii equation (GPE) for a complex scalar field in two spatial dimensions is analyzed. It is shown that there is an infinite family of self-interaction potentials which admit Bogomol'nyi-Prasad-Sommerfield (BPS)…

Quantum Gases · Physics 2025-05-26 Fabrizio Canfora , Pablo Pais

We argue that the Wess-Zumino model with quartic superpotential admits static solutions in which three domain walls intersect at a junction. We derive an energy bound for such junctions and show that configurations saturating it preserve…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , P K Townsend

We construct exact solutions of BPS pion domain walls in the four-dimensional $\mathcal{N}=1$ supersymmetric SU(N) chiral Lagrangian with pion masses introduced via linear and quadratic superpotentials. The model admits N discrete vacua in…

High Energy Physics - Theory · Physics 2016-07-07 Sven Bjarke Gudnason , Muneto Nitta , Shin Sasaki

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

We analyze the moduli space dynamics of domain walls in $SU(N)$ QCD at $\bar\theta=\pi$, by softly breaking ${\cal N}\! =\!1$ SQCD with sfermion mixing. In the supersymmetric limit, BPS domain walls between neighbouring vacua are known to…

High Energy Physics - Theory · Physics 2018-05-24 Adam Ritz , Ashish Shukla

In this work, radially symmetric kink-like solutions in the presence of impurities are investigated for both flat and curved $D+1$ spacetimes, with geometry generated by a rotationally invariant background metric. We have examined the…

General Relativity and Quantum Cosmology · Physics 2024-02-26 D. Bazeia , M. A. Liao , M. A. Marques

We describe some single-sided BPS domain wall configurations in M-theory. These are smooth non-singular resolutions of Calabi--Yau orbifolds obtained by identifying the two sides of the wall under reflection. They may thus be thought of as…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. Rychenkova

The equations underlying all supersymmetric solutions of six-dimensional minimal ungauged supergravity coupled to an anti-self-dual tensor multiplet have been known for quite a while, and their complicated non-linear form has hindered all…

High Energy Physics - Theory · Physics 2012-03-30 Iosif Bena , Stefano Giusto , Masaki Shigemori , Nicholas P. Warner

We study non-topological, charged planar walls (Q-walls) in the context of a particle physics model with supersymmetry broken by low-energy gauge mediation. Analytical properties are derived within the flat-potential approximation for the…

High Energy Physics - Theory · Physics 2015-03-17 Leonardo Campanelli , Marco Ruggieri

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are…

High Energy Physics - Theory · Physics 2021-09-15 Anthony Houppe , Nicholas P. Warner

We construct N=2 supersymmetric nonlinear sigma models on the cotangent bundles over the non-compact exceptional Hermitian symmetric spaces M=E_{6(-14)}/SO(10)xU(1) and E_{7(-25)}/E_6xU(1). In order to construct them we use the projective…

High Energy Physics - Theory · Physics 2015-09-02 Masato Arai , Kurando Baba

We construct BPS domain wall solutions of the effective action of type-IIA string theory compactified on a half-flat six-manifold. The flow equations for the vector and hypermultiplet scalars are shown to be equivalent to Hitchin's flow…

High Energy Physics - Theory · Physics 2016-09-06 Christoph Mayer , Thomas Mohaupt

We study multiplicities and junctions of BPS domain walls interpolating between different chiral vacua in $\mathcal{N}=1$ supersymmetric QCD (SQCD) with the SU$(N)$ gauge group and a varying number of fundamental quarks. Depending on the…

High Energy Physics - Theory · Physics 2025-06-24 Shi Chen , Evgenii Ievlev , Mikhail Shifman

We construct four-dimensional domain wall solutions of N=2 gauged supergravity coupled to vector and to hypermultiplets. The gauged supergravity theories that we consider are obtained by performing two types of Abelian gauging. In both…

High Energy Physics - Theory · Physics 2009-10-07 Klaus Behrndt , Gabriel Lopes Cardoso , Dieter Lust

Kahler manifolds have a natural hyperkahler structure associated with (part of) their cotangent bundles. Using projective superspace, we construct four-dimensional N = 2 models on the tangent bundles of some classical Hermitian symmetric…

High Energy Physics - Theory · Physics 2010-10-27 Masato Arai , Sergei M. Kuzenko , Ulf Lindstrom