Results 91 to 100 of about 25,385,750 (231)
COMPLEXIFIED SIGMA-MODEL AND DUALITY [PDF]
Modern Physics Letters A, 2011 We show that the equations of motion associated with a complexified sigma-model action do not admit manifest dual SO (n, n) symmetry. In the process we discover new type of numbers which we called "complexoids" in order to emphasize their close relation with both complex numbers and matroids. It turns out that the complexoids allow one to consider the
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A brief review of supersymmetric non-linear sigma models and generalized complex geometry [PDF]
, 2006 This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized K\"ahler geometry from sigma models with additional spinorial superfields.
Lindström, Ulf
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Twists of trigonometric sigma models
Journal of High Energy PhysicsWe introduce the ℤ N -twisted trigonometric sigma models, a new class of integrable deformations of the principal chiral model. Starting from 4d Chern-Simons theory on a cylinder, the models are constructed by introducing a ℤ N branch cut running along ...
Rashad Hamidi, Ben Hoare
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Summing inflationary logarithms in nonlinear sigma models
Journal of High Energy Physics, 2022 We consider two nonlinear sigma models on de Sitter background which involve the same derivative interactions as quantum gravity but without the gauge issue.
S. P. Miao, N. C. Tsamis, R. P. Woodard
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Exotic symmetry and monodromy equivalence in Schrödinger sigma models [PDF]
, 2012 A bstractWe consider the classical integrable structure of two-dimensional non-linear sigma models with target space three-dimensional Schrödinger spacetimes.
Io Kawaguchi, Kentaroh Yoshida
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PSEUDODUALITY IN SUPERSYMMETRIC SIGMA MODELS [PDF]
International Journal of Modern Physics A, 2010 We study the pseudoduality transformation in supersymmetric sigma models. We generalize the classical construction of pseudoduality transformation to supersymmetric case. We perform this both by component expansion method on manifold [Formula: see text] and by orthonormal coframe method on manifold [Formula: see text].
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Two dimensional non-linear sigma models as a limit of the linear sigma models
, 2004 We show how to obtain the O(N) non-linear sigma model in two dimensions as a strong coupling limit of the corresponding linear sigma model. In taking the strong coupling limit, the squared mass parameter must be given a specific coupling dependence that ...
Sonoda, Hidenori
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Universal 1-loop divergences for integrable sigma models
Journal of High Energy Physics, 2023 We present a simple, new method for the 1-loop renormalization of integrable σ-models. By treating equations of motion and Bianchi identities on an equal footing, we derive ‘universal’ formulae for the 1-loop on-shell divergences, generalizing case-by ...
Nat Levine
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Generating branes via sigma-models
, 1998 Starting with the D-dimensional Einstein-dilaton-antisymmetric form equations and assuming a block-diagonal form of a metric we derive a $(D-d)$-dimensional $\sigma$-model with the target space $SL(d,R)/SO(d) \times SL(2,R)/SO(2) \times R$ or its non ...
A. A. Tseytlin +35 more
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Spin chain sigma models with fermions [PDF]
, 2004 The complete one-loop planar dilatation operator of N=4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2,2|4) quantum spin chain.
Hernandez, Rafael, Lopez, Esperanza
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