Complex structure-induced deformations of sigma-models

K. Gödel, “An Example of a new type of cosmological solutions of Einstein’s field equations of gravitation,” Rev. Mod. Phys

1949

Earlier work this paper cites.

K. Pohlmeyer, “Integrable hamiltonian systems and interactions through quadratic constraints,” Commun. Math. Phys

1976

Earlier work this paper cites.

V. G. Kac, “A Sketch of Lie Superalgebra Theory,” Commun. Math. Phys

1977

Earlier work this paper cites.

P. Spindel, A. Sevrin, W. Troost, and A. Van Proeyen, “Extended Supersymmetric Sigma Models on Group Manifolds. 1. The Complex Structures,” Nucl. Phys

1988

Earlier work this paper cites.

T. H. Buscher, “Path Integral Derivation of Quantum Duality in Nonlinear Sigma Models,” Phys. Lett

1988

Earlier work this paper cites.

E. Witten, “Topological Sigma Models,” Commun. Math. Phys

1988

Earlier work this paper cites.

D. Joyce, “Compact hypercomplex and quaternionic manifolds,” J. Differential Geom

1992

Earlier work this paper cites.

[Adv. Theor. Math. Phys.2,231(1998)]

J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys · 1998

Earlier work this paper cites.

M. Rooman and P. Spindel, “Gödel metric as a squashed anti-de Sitter geometry,” Class. Quant. Grav

1998

Cited alongside, same era.

C. A. S. Young, “Non-local charges, Z(m) gradings and coset space actions,” Phys. Lett

2006

Cited alongside, same era.

C. Klimcik, “On integrability of the Yang-Baxter sigma-model,” J. Math. Phys

2009

Cited alongside, same era.

A. Babichenko, B. Stefanski, Jr., and K. Zarembo, “Integrability and the AdS(3)/CFT(2) correspondence,” JHEP

2010

Cited alongside, same era.

F. Delduc, M. Magro, and B. Vicedo, “On classical q q -deformations of integrable sigma-models,” JHEP

2013

Cited alongside, same era.

F. Delduc, M. Magro, and B. Vicedo, “An integrable deformation of the A ​ d ​ S 5 × S 5 AdS_{5}\times S^{5} superstring action,” Phys. Rev. Lett

D. Bykov, “Integrable properties of sigma-models with non-symmetric target spaces,” Nucl. Phys

2015

Later among the works it cites.

B. Hoare, “Towards a two-parameter q-deformation of AdS 3 × S 3 × M 4 {}_{3}\times S^{3}\times M^{4} superstrings,” Nucl. Phys

2015

Later among the works it cites.

D. Bykov, “Classical solutions of a flag manifold σ \sigma -model,” Nucl. Phys

2016

Closest in time.

D. Bykov, “Complex structures and zero-curvature equations for σ \sigma -models,” Phys. Lett

2016

Closest in time.

D. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for σ \sigma -models,” Theor. Math. Phys

2016

Closest in time.

G. Arutyunov, S. Frolov, B. Hoare, R. Roiban, and A. A. Tseytlin, “Scale invariance of the η \eta -deformed A ​ d ​ S 5 × S 5 AdS_{5}\times S^{5} superstring, T-duality and modified type II equations,” Nucl. Phys