| Grant number: | 17/25361-7 |
| Support Opportunities: | Regular Research Grants |
| Start date: | April 01, 2018 |
| End date: | 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 |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
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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