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Nonlinear sigma models appear in a wide variety of physics contexts, such as the long-range order with spontaneously broken continuous global symmetries. There are also large classes of quantum criticality admit sigma model descriptions in…

Strongly Correlated Electrons · Physics 2022-12-29 Po-Shen Hsin

We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For even dimensional spherical defects we find a…

High Energy Physics - Theory · Physics 2019-12-25 Lorenzo Bianchi

Every isometry $\sigma$ of a positive-definite even lattice $Q$ can be lifted to an automorphism of the lattice vertex algebra $V_Q$. An important problem in vertex algebra theory and conformal field theory is to classify the…

Quantum Algebra · Mathematics 2015-12-04 Bojko Bakalov , Jason Elsinger

Heterotic orbifolds provide promising constructions of MSSM-like models in string theory. We investigate the connection of such orbifold models with smooth Calabi-Yau compactifications by examining resolutions of the T^6/Z6-II orbifold…

High Energy Physics - Theory · Physics 2011-02-15 Stefan Groot Nibbelink , Johannes Held , Fabian Ruehle , Michele Trapletti , Patrick K. S. Vaudrevange

We consider six-dimensional supergravity with Abelian bulk flux compactified on an orbifold. The effective low-energy action can be expressed in terms of N=1 chiral moduli superfields with a gauged shift symmetry. The D-term potential…

High Energy Physics - Theory · Physics 2016-07-20 Wilfried Buchmuller , Markus Dierigl , Fabian Ruehle , Julian Schweizer

We discuss the structure of the non-anticommutative N=2 non-linear sigma-model in two dimensions, constructing differential operators which implement the deformed supersymmetry generators and using them to reproduce the classical action. We…

High Energy Physics - Theory · Physics 2009-07-22 I. Jack , R. Purdy

We investigate orbifold compactifications of the heterotic string, addressing in detail their construction, classification and phenomenological potential. We present a strategy to search for models resembling the minimal supersymmetric…

High Energy Physics - Theory · Physics 2010-04-30 Saul Ramos-Sanchez

Supersymmetric Minkowski vacua in IIB orientifold compactifications based on orbifolds with background fluxes and non-perturbative superpotentials are investigated. Especially, microscopic requirements and difficulties to obtain such vacua…

High Energy Physics - Theory · Physics 2009-11-11 Daniel Krefl , Dieter Lust

We study non-compact Gepner models that preserve sixteen or eight supercharges in type II string theories. In particular, we develop an orbifolded Landau-Ginzburg description of these models analogous to the Landau-Ginzburg formulation of…

High Energy Physics - Theory · Physics 2009-05-20 Sujay K. Ashok , Raphael Benichou , Jan Troost

Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate…

High Energy Physics - Theory · Physics 2016-05-04 Alessandra Cagnazzo , Volker Schomerus , Vaclav Tlapak

The anomaly of a discrete symmetry is defined as the Jacobian of the path-integral measure. Assuming that the anomaly at low energies is cancelled by the Green-Schwarz (GS) mechanism at a fundamental scale, we investigate possible Kac-Moody…

High Energy Physics - Phenomenology · Physics 2008-11-26 Takeshi Araki

A review of orbifold geometry is given, followed by a review of the construction of four-dimensional heterotic string models by compactification on a six-dimensional Z_3 orbifold. Particular attention is given to the details of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joel Giedt

We calculate the all-loop anomalous dimensions of current operators in $\lambda$-deformed $\sigma$-models. For the isotropic integrable deformation and for a semi-simple group $G$ we compute the anomalous dimensions using two different…

High Energy Physics - Theory · Physics 2016-04-29 George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in…

High Energy Physics - Theory · Physics 2010-02-04 Jonas Schmidt

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

Building upon Dyson's fundamental 1962 article known in random-matrix theory as 'the threefold way', we classify disordered fermion systems with quadratic Hamiltonians by their unitary and antiunitary symmetries. Important examples are…

Mathematical Physics · Physics 2009-11-10 P. Heinzner , A. Huckleberry , M. R. Zirnbauer

The general idea of this paper is to start from a classical integrable (partial differential) equation which arises as a compatibility condition for a matrix linear differential problem. For definitiveness' sake, a generalised sinh-Gordon…

High Energy Physics - Theory · Physics 2026-05-19 Davide Fioravanti , Marco Rossi

We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many…

High Energy Physics - Theory · Physics 2026-01-29 Guillermo Arias-Tamargo , Maxwell L. Velásquez Cotini Hutt

We derive the Wilsonian renormalization group equation in two dimensional ${\cal N}=2$ supersymmetric nonlinear sigma models. This equation shows that the sigma models on compact Einstein K\"{a}hler manifolds are aymptotically free. This…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Higashijima , Etsuko Itou

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard