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Various aspects of Supersymmetry in 1-dimensional systems are analyzed.

High Energy Physics - Theory · Physics 2007-05-23 Enrico Deotto

Supersymmetry might be broken, in the real world, by anomalies that affect composite operators, while leaving the action supersymmetric. New constraint equations that govern the composite operators and their anomalies are examined. It is…

High Energy Physics - Theory · Physics 2007-05-23 John Dixon

Holomorphy of the superpotential promotes any continuous symmetry group G to a complexified symmetry group G_C of the superpotential. For U(1) symmetry this means that the superpotential is not only invariant under U(1) phase rotation but…

High Energy Physics - Theory · Physics 2012-01-06 Pritibhajan Byakti

It is argued that singlet extensions of the MSSM at the weak scale are indicative of either gauged-$R$ symmetry or target space duality in a string effective action at the Planck scale. The criteria used are satisfactory primordial…

High Energy Physics - Phenomenology · Physics 2008-02-03 S. A. Abel

We investigate the standard and dual Bondi-Metzner-Sachs (BMS) supertranslation generators on a black hole horizon and draw some conclusions about black hole physics. Recently, it has been shown that in addition to conventional BMS…

High Energy Physics - Theory · Physics 2022-12-02 Ratindranath Akhoury , Sangmin Choi , Malcolm J. Perry

It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper…

High Energy Physics - Theory · Physics 2014-11-18 Harvey S. Reall

We review some recent results and future prospects in the phenomenology of Supersymmmetry. We discuss the searches for superpartner states, the searches for Higgs bosons in the minimal SUSY model, and additional parameter constraints…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , R. J. N. Phillips

A rather complete phenomenology of the singularities is developed according to a new algebraic point of view in the frame of Langlands global correspondences. That is to say,a process of: -singularizations and versal deformations of these,…

Representation Theory · Mathematics 2007-05-23 Christian Pierre

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

The N=2 supersymmetric extension of the 2+1 dimensional Abelian Higgs model is discussed. By analysing the resulting supercharge algebra, the connection between supersymmetry and Bogomol'nyi equations is clarified. Analogous results are…

High Energy Physics - Theory · Physics 2009-10-22 José Edelstein , Carlos Nuñez , Fidel Schaposnik

Twists of four-dimensional supersymmetric quantum field theories (SQFTs) isolate protected sectors with rich algebraic structures. We develop a unified framework for analyzing symmetries and anomalies in four-dimensional holomorphically…

High Energy Physics - Theory · Physics 2025-09-23 Pieter Bomans , Niklas Garner , Brian R. Williams , Jingxiang Wu

Supersymmetric solutions of supergravity have been of particular importance in the advances of string theory. This article reviews the current status of black hole solutions in higher-dimensional supergravity theories. We discuss primarily…

High Energy Physics - Theory · Physics 2015-05-27 Kei-ichi Maeda , Masato Nozawa

String landscape ideas and the observation of a positive vacuum energy in the current universe suggest that there could be a future transition to an exactly supersymmetric world. Atomic and molecular binding in this susy background probably…

High Energy Physics - Phenomenology · Physics 2007-10-15 L. Clavelli

We investigate the behaviour of a model with two oppositely charged scalar fields. In the Bogomol'nyi limit this may be seen as the scalar sector of N=1 supersymmetric QED, and it has been shown that cosmic strings form. We examine…

High Energy Physics - Theory · Physics 2014-11-18 M. Pickles , J. Urrestilla

Using a simple observation based on holomorphy, we argue that any model which spontaneously breaks supersymmetry for some range of a parameter will do so generically for all values of that parameter, modulo some isolated exceptional points.…

High Energy Physics - Theory · Physics 2009-10-30 Stephen D. H. Hsu , Myckola Schwetz

Recent developments in anti-de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic…

High Energy Physics - Theory · Physics 2024-09-16 Sergio E. Aguilar-Gutierrez , Michal P. Heller , Silke Van der Schueren

We review the recently proposed string theory in two dimensional black hole background. Especially, the structure of the duality in the target space is discussed. The duality is analogous to \lq\lq $R \rightarrow 1/R$" symmetry of a…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri

One of the most exciting things in recent theoretical physics is the suspicion that gravity may be holographic, dual to some sort of quantum field theory living on the boundary with one less dimension. Such a suspicion has been supported…

High Energy Physics - Theory · Physics 2013-05-24 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

We investigate $N$-extended supersymmetry in one-dimensional quantum mechanics on a circle with point singularities. For any integer $n$, $N=2n+1$ supercharges are explicitly constructed in terms of discrete transformations, and a class of…

High Energy Physics - Theory · Physics 2009-11-11 Tomoaki Nagasawa , Makoto Sakamoto , Kazunori Takenaga

We review recent work on the existence and nature of cosmological singularities that can be formed during the evolution of generic as well as specific cosmological spacetimes in general relativity. We first discuss necessary and sufficient…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Spiros Cotsakis