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Duality, Generalized Global Symmetries and Jet Space Isometries
Universe, 2021 We revisit universal features of duality in linear and nonlinear relativistic scalar and Abelian 1-form theories with single or multiple fields, which exhibit ordinary or generalized global symmetries.
Athanasios Chatzistavrakidis +2 more
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Journal of High Energy Physics, 2021 We introduce a two-dimensional sigma model associated with a Jacobi manifold. The model is a generalisation of a Poisson sigma model providing a topological open string theory.
Francesco Bascone +2 more
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Communications in Mathematical Physics, 2005 We introduce a new topological sigma model, whose fields are bundle maps from the tangent bundle of a 2-dimensional world-sheet to a Dirac subbundle of an exact Courant algebroid over a target manifold. It generalizes simultaneously the (twisted) Poisson sigma model as well as the G/G-WZW model.
Kotov, A., Schaller, P., Strobl, T.
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Cosmology of linear Higgs-sigma models with conformal invariance
Journal of High Energy Physics, 2021 We consider general linear Higgs-sigma models as ultra-violet completions of the Higgs inflation. We introduce general higher curvature terms beyond Einstein gravity and recast them into a class of linear Higgs-sigma models in the scalar-dual formulation
Hyun Min Lee, Adriana G. Menkara
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New integrable coset sigma models
Journal of High Energy Physics, 2021 By using the general framework of affine Gaudin models, we construct a new class of integrable sigma models. They are defined on a coset of the direct product of N copies of a Lie group over some diagonal subgroup and they depend on 3N − 2 free ...
Gleb Arutyunov +2 more
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Physical Review D, 2009 Theories of low-energy Lorentz violation by a fixed-norm "aether" vector field with two-derivative kinetic terms have a globally bounded Hamiltonian and are perturbatively stable only if the vector is timelike and the kinetic term in the action takes the form of a sigma model. Here we investigate the phenomenological properties of this theory. We first
Carroll, Sean M. +3 more
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The exceptional sigma model [PDF]
Journal of High Energy Physics, 2018 Abstract We detail the construction of the exceptional sigma model, which describes a string propagating in the “extended spacetime” of exceptional field theory. This is to U-duality as the doubled sigma model is to T-duality. Symmetry specifies the Weylinvariant Lagrangian uniquely and we show how it reduces to the correct 10 ...
Alex S. Arvanitakis, Chris D. A. Blair
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Comparing Poisson Sigma Model with A-model [PDF]
Journal of High Energy Physics, 2016 We discuss the A-model as a gauge fixing of the Poisson Sigma Model with target a symplectic structure. We complete the discussion in [arXiv:0706.3164], where a gauge fixing defined by a compatible complex structure was introduced, by showing how to recover the A-model hierarchy of observables in terms of the AKSZ observables.
Bonechi Francesco +2 more
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Quantum group sigma models [PDF]
Journal of Physics A: Mathematical and General, 1993 Comment: 20 ...
Frishman, Y. +2 more
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DUALITY IN FUZZY SIGMA MODELS [PDF]
International Journal of Modern Physics A, 2004 Nonlinear "sigma" models in two dimensions have BPS solitons which are solutions of self- and anti-self-duality constraints. In this paper, we find their analogues for fuzzy sigma models on fuzzy spheres which were treated in detail by us in earlier work.
Balachandran, A. P., Immirzi, Giorgio
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