Advanced search
Start date

Integrable deformations and the AdS/CFT correspondence

Grant number: 17/25361-7
Support type:Regular Research Grants
Duration: April 01, 2018 - March 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Fernando David Marmolejo Schmidtt
Grantee:Fernando David Marmolejo Schmidtt
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


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)

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. Holomorphic Chern-Simons theory and lambda models: PCM case. Journal of High Energy Physics, n. 4 APR 9 2020. Web of Science Citations: 0.
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 OCT 8 2019. Web of Science Citations: 0.
SCHMIDTT, DAVID M. Lambda models from Chern-Simons theories. Journal of High Energy Physics, n. 11 NOV 19 2018. Web of Science Citations: 5.

Please report errors in scientific publications list by writing to: