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We study the Jones and Tod correspondence between selfdual conformal 4-manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl 3-manifolds, and prove that invariant complex structures correspond to shear-free geodesic…

Differential Geometry · Mathematics 2009-09-25 David M. J. Calderbank , H. Pedersen

Multiplicative Hitchin systems are analogues of Hitchin's integrable system based on moduli spaces of G-Higgs bundles on a curve C where the Higgs field is group-valued, rather than Lie algebra valued. We discuss the relationship between…

Algebraic Geometry · Mathematics 2021-10-29 Chris Elliott , Vasily Pestun

We study spaces obtained from a complete finite volume complex hyperbolic n-manifold M by removing a compact totally geodesic complex (n-1)-submanifold. The main result is that the fundamental group of M-S is relatively hyperbolic, relative…

Group Theory · Mathematics 2010-08-31 Igor Belegradek

Starting with generic Wess-Zumino type coupling to constant four-form and the dual seven-form field strengths in the ABJM theory, we obtain mass-deformed theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless scalar…

High Energy Physics - Theory · Physics 2015-06-11 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We determine, in the context of five-dimensional ${\cal N}=2$ gauged supergravity with vector and hypermultiplets, the conditions under which curved (non Ricci flat) supersymmetric domain wall solutions may exist. These curved BPS domain…

High Energy Physics - Theory · Physics 2009-11-07 Gabriel Lopes Cardoso , Gianguido Dall'Agata , Dieter Lust

We study the BPS spectrum and walls of marginal stability of the $\mathcal{N}=2$ supersymmetric theory in four dimensions with gauge group SU(n) and $n\le N_{f}<2n$ fundamental flavours at the root of the Higgs branch. The strong-coupling…

High Energy Physics - Theory · Physics 2013-01-22 Nick Dorey , Kirill Petunin

Existence and uniqueness of the solution are proved for the `master equation' derived from the BPS equation for the vector multiplet scalar in the U(1) gauge theory with Nf charged matter hypermultiplets with eight supercharges. This proof…

High Energy Physics - Theory · Physics 2015-06-26 Norisuke Sakai , Yisong Yang

We show that Weinberg's leading soft photon theorem in massless abelian gauge theories implies the existence of an infinite-dimensional large gauge symmetry which acts non-trivially on the null boundaries ${\mathscr I}^\pm$ of…

High Energy Physics - Theory · Physics 2023-09-25 Temple He , Prahar Mitra

In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of…

High Energy Physics - Theory · Physics 2009-03-12 Hironobu Kihara

We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed…

High Energy Physics - Lattice · Physics 2015-06-12 Nikos Irges , Francesco Knechtli , Kyoko Yoneyama

We discuss the Penrose limit of the Chamseddine-Volkov BPS selfgravitating monopole in four dimensional N=4 supergravity theory with non-abelian gauge multiplets. We analyze the properties of the resulting supersymmetric pp-wave solutions…

High Energy Physics - Theory · Physics 2010-11-19 D. H. Correa , E. F. Moreno , S. Reuillon , F. A. Schaposnik

We perform a systematic study of generic accidental Higgs-family and CP symmetries that could occur in the two-Higgs-doublet-model potential, based on a Majorana scalar-field formalism which realizes a subgroup of GL(8,C). We derive the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Richard A. Battye , Gary D. Brawn , Apostolos Pilaftsis

The Standard Model Higgs potential may become unbounded from below at large field values, with important cosmological implications. For a potential of this form, the commonly assumed scenario of a nucleated thin-wall bubble driving the…

High Energy Physics - Phenomenology · Physics 2023-08-16 Nikolaos Tetradis

We study N=(2,2) supersymmetric abelian gauge theories in two dimensions. The exact BPS spectrum of these models is shown to coincide with the spectrum of massive hypermultiplets of certain N=2 supersymmetric gauge theories in four…

High Energy Physics - Theory · Physics 2010-02-03 N. Dorey , T. J. Hollowood , D. Tong

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

We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models.…

High Energy Physics - Theory · Physics 2025-07-31 Petr Beneš , Filip Blaschke

We study the flow equations for BPS black holes in $\mathcal{N} = 2$ five-dimensional gauged supergravity coupled to any number of vector multiplets via FI couplings. We develop the Noether-Wald procedure in this context and exhibit the…

High Energy Physics - Theory · Physics 2023-08-28 Marina David , Nizar Ezroura , Finn Larsen

We fix the long-standing ambiguity in the 1-loop contribution to the mass of a 1+1-dimensional supersymmetric soliton by adopting a set of boundary conditions which follow from the symmetries of the action and which depend only on the…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Misha Stephanov , Peter van Nieuwenhuizen , Anton Rebhan

It is well accepted that dealing with the Gribov ambiguity has a major impact on correlation functions in gauge-fixed Yang-Mills theories, in particular in the low momentum regime where standard perturbation theory based on the…

High Energy Physics - Theory · Physics 2014-02-25 M. A. L. Capri , D. Dudal , M. S. Guimaraes , I. F. Justo , S. P. Sorella , D. Vercauteren

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg