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We continue our study of 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of vortex strings, domain walls and boojums in N=2 supersymmetric Abelian gauge theories in four dimensions. In this work, we numerically confirm that a…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto

A Lagrangian of a Schr\"{o}dinger type complex scalar field of Cooper pair, a U(1) gauge field of electromagnetism, and a neutral scalar field of acoustic phonon with constant background charge density is proposed for an effective field…

Superconductivity · Physics 2025-05-06 Yoonbai Kim , SeungJun Jeon , Hanwool Song

Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex strings ending on domain walls, monopoles threaded on…

High Energy Physics - Theory · Physics 2009-11-11 Norisuke Sakai , David Tong

We consider N=2 supersymmetric quantum electrodynamics (SQED) with 2 flavors, the Fayet--Iliopoulos parameter, and a mass term $\beta$ which breaks the extended supersymmetry down to N=1. The bulk theory has two vacua; at $\beta=0$ the…

High Energy Physics - Theory · Physics 2010-05-27 R. Auzzi , M. Shifman , A. Yung

We study 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of vortex strings, domain walls and boojums in ${\cal N}=2$ supersymmetric Abelian gauge theories in four dimensions. We obtain solutions to the 1/4 BPS equations with the…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with $N$ hypermultiplets are studied in the generic setting of an arbitrary Fayet-Iliopoulos triplet of parameters for each gauge group and an invertible charge matrix.…

High Energy Physics - Theory · Physics 2021-03-11 Sven Bjarke Gudnason , Minoru Eto , Muneto Nitta

Topological field theories emerge at low energy in strongly-correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when…

Quantum Gases · Physics 2020-09-30 Gerard Valentí-Rojas , Niclas Westerberg , Patrik Öhberg

Dense distributions of string-like objects in material media are considered in terms of continuum field theory. The strings are assumed to carry a quantized abelian topological charge, such as the Burgers vector of dislocations in solids or…

Superconductivity · Physics 2007-05-23 Dominik Rogula

Starting with intersecting M2-branes in M-theory, the IIA supertube can be found by compactification with a boost to the speed of light in the compact dimension. A similar procedure applied to Donaldson-Uhlenbeck-Yau instantons on $\bC^3$,…

High Energy Physics - Theory · Physics 2009-11-10 Paul K. Townsend

We propose that at low energy four dimensional bosonic strings may form bound states where they become bundled together much like the filaments in a cable. We inspect the properties of these bundles in terms of their extrinsic geometry.…

High Energy Physics - Theory · Physics 2007-05-23 Sazzad Nasir , Antti J. Niemi

We argue that there exists a new class of completely smooth 1/8-BPS, three-charge bound state configurations that depend upon arbitrary functions of two variables. These configurations are locally 1/2-BPS objects in that if they form an…

High Energy Physics - Theory · Physics 2011-11-03 Iosif Bena , Jan de Boer , Masaki Shigemori , Nicholas P. Warner

We find the charged spinless vortices in the effective field theory of a Schr\"{o}dinger type complex scalar field of Cooper pair, a U(1) gauge field of electromagnetism, and a gapless neutral scalar field of acoustic phonon. We show that…

Superconductivity · Physics 2025-05-08 Yoonbai Kim , SeungJun Jeon , Hanwool Song

The BPS bound is formulated in light-cone superspace for the N = 4 superYang-Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms…

High Energy Physics - Theory · Physics 2011-02-15 Patrick Hearin

We give model-independent arguments, valid in nearly any number of spacetime dimensions, that topological solitons and instantons satisfy Bogomol'nyi-type bounds and, when these bounds are saturated, satisfy self-duality equations. In the…

High Energy Physics - Theory · Physics 2009-10-22 Zvonimir Hlousek , Donald Spector

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the…

High Energy Physics - Theory · Physics 2014-11-19 Markus Dierigl , Alexander Pritzel

We consider models of scalar fields coupled to gravity which are higher-dimensional generalizations of four dimensional supergravity. We use these models to describe domain wall junctions in an anti-de Sitter background. We derive…

High Energy Physics - Theory · Physics 2009-10-31 Sean M. Carroll , Simeon Hellerman , Mark Trodden

We study domain wall solitons in the relativistic self-dual Chern-Simons Higgs systems by the dimensional reduction method to two dimensional spacetime. The Bogomolny bound on the energy is given by two conserved quantities in a similar way…

High Energy Physics - Theory · Physics 2016-08-24 Hsien-chung Kao , Kimyeong Lee , Taejin Lee

Domain-wall solutions in four-dimensional supersymmetric field theories with distinct discrete vacuum states lead to the spontaneous breaking of supersymmetry, either completely or partially. We consider in detail the case when the domain…

High Energy Physics - Theory · Physics 2014-11-18 B. Chibisov , M. Shifman

Certain gauge theories in four dimensions are known to admit semi-classical D-brane solitons. These are domain walls on which vortex flux tubes may end. The purpose of this paper is to develop an open-string description of these D-branes.…

High Energy Physics - Theory · Physics 2009-11-11 David Tong

We discuss a model of dipolar bosons trapped in a weakly coupled planar array of one-dimensional tubes. We consider the situation where the dipolar moments are aligned by an external field, and find a rich phase diagram as a function of the…

Quantum Gases · Physics 2013-05-29 Jonathan M. Fellows , Sam T. Carr
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