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Aspects of Nonrelativistic Strings
Frontiers in Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
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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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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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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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String Sigma Models on Curved Supermanifolds
Universe, 2018 We use the techniques of integral forms to analyze the easiest example of two-dimensional sigma models on a supermanifold. We write the action as an integral of a top integral form over a D = 2 supermanifold, and we show how to interpolate between ...
Roberto Catenacci +1 more
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Renormalization of supersymmetric Lifshitz sigma models
Journal of High Energy Physics, 2023 We study the renormalization of an N $$ \mathcal{N} $$ = 1 supersymmetric Lifshitz sigma model in three dimensions. The sigma model exhibits worldvolume anisotropy in space and time around the high-energy z = 2 Lifshitz point, such that the worldvolume ...
Ziqi Yan
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Non-compact nonlinear sigma models
Physics Letters B, 2016 The target space of a nonlinear sigma model is usually required to be positive definite to avoid ghosts. We introduce a unique class of nonlinear sigma models where the target space metric has a Lorentzian signature, thus the associated group being non ...
Claudia de Rham +2 more
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Junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N)/U(N). Part II
Journal of High Energy Physics, 2020 We construct three-pronged junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N )/U(N ) for generic N. We study the nonlinear sigma models on the Grassmann manifold or on the complex projective space.
Taegyu Kim, Sunyoung Shin
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SciPost Physics, 2019 We study (1+1)-dimensional non-linear sigma models whose target space is the flag manifold $U(N)\over U(N_1)\times U(N_2)\cdots U(N_m)$, with a specific focus on the special case $U(N)/U(1)^{N}$.
Kantaro Ohmori, Nathan Seiberg, Shu-Heng Shao
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