Results 31 to 40 of about 851,189 (303)
Integrability, duality and sigma models
Journal of High Energy Physics, 2018 We introduce and study conformal field theories specified by W −algebras commuting with certain set of screening charges. These CFT’s possess perturbations which define integrable QFT’s. We establish that these QFT’s have local and non-local Integrals of
V. A. Fateev, A. V. Litvinov
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Sigma-model symmetry in orientifold models [PDF]
Journal of High Energy Physics, 2000 We investigate in the simplest compact D=4 N=1 Type IIB orientifold models the sigma-model symmetry suggested by the proposed duality of these models to heterotic orbifold vacua. This symmetry is known to be present at the classical level, and is associated to a composite connection involving untwisted moduli in the low-energy supergravity theory.
Scrucca CA, Serone, Marco
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Sigma models with negative curvature
Physics Letters B, 2016 We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold Hn, which is a hyperbolic space of constant negative curvature. The Lagrangian has a non-compact O(n,1) global symmetry group, but it gives a unitary theory as long as only a ...
Rodrigo Alonso +2 more
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Integrable deformations of sigma models [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore their Yang–Baxter and current–current deformations.
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Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems [PDF]
, 2012 The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order superintegrable systems in 2D and
Willard Miller Jr. +5 more
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Pseudoduality in sigma models [PDF]
Nuclear Physics B, 2002 We revisit classical "on shell" duality, i.e., pseudoduality, in two dimensional conformally invariant classical sigma models and find some new interesting results. We show that any two sigma models that are "on shell" duals have opposite 1-loop renormalization group beta functions because of the integrability conditions for the pseudoduality ...
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NONLINEAR SIGMA MODEL ON CONIFOLDS [PDF]
Modern Physics Letters A, 2002 Explicit solutions to the conifold equations with complex dimension n = 3, 4 in terms of complex coordinates (fields) are employed to construct the Ricci-flat Kähler metrics on these manifolds. The Kähler two-forms are found to be closed. The complex realization of these conifold metrics are used in the construction of two-dimensional nonlinear sigma ...
Parthasarathy, R., Viswanathan, K. S.
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, 2018 This is a brief review of some of the uses of nonlinear sigma models. After a short general discussion touching on point particles, strings and condensed matter systems, focus is shifted to sigma models as probes of target space geometries.
Ulf Lindstrom +2 more
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Supersymmetric Sigma Model Geometry [PDF]
Symmetry, 2012 This is a review of how sigma models formulated in Superspace have become important tools for understanding geometry. Topics included are: The (hyper)kähler reduction; projective superspace; the generalized Legendre construction; generalized Kähler geometry and constructions of hyperkähler metrics on Hermitian symmetric spaces.
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