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We investigate the linear classical stability of Bogomol'nyi-Prasad-Sommerfield (BPS) on three domain wall solutions in a system of three coupled real scalar fields, for a general positive potential with a square form. From a field…

High Energy Physics - Theory · Physics 2011-07-28 R. de Lima Rodrigues , A. F. de Lima , E. R. Bezerra de Mello , V. B. Bezera

We construct an effective field theory for fusion of conformal defects of any codimension in $d\geq 3$ conformal field theories. We fully solve the constraints of Weyl invariance for defects of arbitrary shape on general curved bulk…

High Energy Physics - Theory · Physics 2025-05-28 Petr Kravchuk , Alex Radcliffe , Ritam Sinha

We study supersymmetric domain walls in N=1 SU(N) gauge theory with 3 massive adjoint representation chiral multiplets. This theory, known as N=1^*, can be obtained as a massive deformation of N=4 Yang-Mills theory. Following Polchinski and…

High Energy Physics - Theory · Physics 2009-10-31 Andrew Frey

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

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao

We consider BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operators inserted at points of the Riemann surface. Further…

High Energy Physics - Theory · Physics 2011-09-26 Davide Gaiotto , Gregory W. Moore , Andrew Neitzke

We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a…

High Energy Physics - Theory · Physics 2015-05-20 Stefano Bellucci , Bhupendra Nath Tiwari

We investigate the presence of domain walls in models described by three real scalar fields. We search for stable defect structures which minimize the energy of the static field configurations. We work out explict orbits in field space and…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , L. Losano , C. Wotzasek

We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenomena in topologically ordered systems. We apply the resultant…

High Energy Physics - Theory · Physics 2025-08-22 Yoshiki Fukusumi

We use the effective action of the $E_n$ non-critical strings to study its BPS spectrum for $0 \le n \le 8$. We show how to introduce mass parameters, or Wilson lines, into the effective action, and then perform the appropriate asymptotic…

High Energy Physics - Theory · Physics 2009-10-30 J. A. Minahan , D. Nemeschansky , N. P. Warner

The quest to explore new techniques for the manipulation of topological states simultaneously promotes a deeper understanding of topological physics, and is essential in identifying new ways to harness their unique features. Here, we…

We investigate SUSY breaking mediated through the deformation of the spacetime geometry due to the backreaction of a nontrivial configuration of a bulk scalar field. To illustrate its features, we work with a toy model in which the bulk is…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Sakamura

We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note…

High Energy Physics - Theory · Physics 2022-12-19 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev , A. G. Panin

Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrability and supersymmetry on the bulk is derived. It appears…

High Energy Physics - Theory · Physics 2009-10-28 Takeo Inami , Satoru Odake , Yao-Zhong Zhang

In this paper we study some aspects of curved BPS-like domain walls in higher dimensional gravity theory coupled to scalars where the scalars span a complex K\"ahler surface with scalar potential turned on. Assuming that a fake…

High Energy Physics - Theory · Physics 2017-01-31 Fiki T. Akbar , Bobby E. Gunara , Flinn C. Radjabaycolle , Rio N. Wijaya

Whenever available, refined BPS indices provide considerably more information on the spectrum of BPS states than their unrefined version. Extending earlier work on the modularity of generalized Donaldson-Thomas invariants counting D4-D2-D0…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Jan Manschot , Boris Pioline

This paper revisits the nonlinear realization of spontaneously broken N=1 supersymmetry. It is shown that the constrained superfield formalism can be reinterpreted in the language of standard realization of nonlinear supersymmetry via a new…

High Energy Physics - Theory · Physics 2015-05-18 Hui Luo , Mingxing Luo , Liucheng Wang

Effective theories are non-local at the scale of the eliminated heavy particles modes. The gradient expansion which represents such non-locality must be truncated to have treatable models. This step leads to the proliferation of the degrees…

High Energy Physics - Theory · Physics 2010-05-12 Janos Polonyi , Alicja Siwek

Previous studies have used numerical methods to optimize the hyperpolarizability of a one-dimensional quantum system. These studies were used to suggest properties of one-dimensional organic molecules, such as the degree of modulation of…

Optics · Physics 2015-05-18 Urszula B. Szafruga , Mark G. Kuzyk , David S. Watkins

We study the BPS spectrum of four-dimensional $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group $SU(2)$ and a massive adjoint hypermultiplet, which has an extremely intricate structure with infinite spectrum in all chambers…

High Energy Physics - Theory · Physics 2021-10-04 Philipp Rüter , Richard J. Szabo