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Complex structure-induced deformations of sigma-models

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Bykov,  Dmitri
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1611.07116.pdf
(Preprint), 322KB

JHEP03(2017)130.pdf
(Publisher version), 545KB

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Citation

Bykov, D. (2017). Complex structure-induced deformations of sigma-models. Journal of High Energy Physics, 2017(03): 130. doi:10.1007/JHEP03(2017)130.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002C-3868-E
Abstract
We describe a deformation of the principal chiral model (with an even-dimensional target space G) by a B-field proportional to the K\"ahler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G=S^1 x S^3. We also apply a variant of the construction to a deformation of the AdS_3 x S^3 x S^1 (super-)sigma-model.