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Integrable deformations and the AdS/CFT correspondence

Abstract

The purpose of this research project is to further explore the properties of the lambda model of the Green-Schwarz superstring in the $AdS_{5}\times S^{5}$ background. The lambda model is a deformation of the non-Abelian T-dual of the superstring sigma model action functional and preserves not only the integrability but also the quantum conformal symmetry of the later. This deformation has, recently, attracted a great deal of attention because it suggests the existence of a consistent $q$-deformation (with $q$ a root-of-unity) of the conventional AdS/CFT correspondence. We plan to explore some specific aspects of the lambda model like its affine quantum group symmetry structure, its relation to the Chern-Simons theories and its possible first-principle quantization scheme, the problem of the non-ultralocality thereof, the relation with its parent sigma model and how this remarkable integrable deformation might manifest itself on the gauge theory side of the gauge/gravity duality. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
SCHMIDTT, DAVID M.. Lambda models from Chern-Simons theories. Journal of High Energy Physics, n. 11, . (17/25361-7)
BENITEZ, HECTOR A.; SCHMIDTT, DAVID M.. lambda-deformation of the AdS(5) x S-5 pure spinor superstring. Journal of High Energy Physics, n. 10, . (17/25361-7)
SCHMIDTT, DAVID M.. Holomorphic Chern-Simons theory and lambda models: PCM case. Journal of High Energy Physics, n. 4, . (17/25361-7)

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