Speaker
Description
The Quantum Field Theory methods, related to the M-theory structures, are playing exceptional role in the modern science. They are commonly united in the general Gauge/Gravity correspondence. During the recent years of the related techniques' development, plenty of the general effects and their common features were recovered for the quantum field theories in the critical point, - conformal ones. It is natural to raise a question of the such theories' additional operators, changing their symmetries' structure.
In the literature, they are classified by their action on the RG-flow of the initial quantum theory. The marginal operators link the CFTs with various supersymmetry realisations, forming the so-called Conformal Manifold. The relevant ones are switching the trajectory of RG-flow, leading initial QFT to another critical point. The irrelevant additional operators are the ones, grabbing the initial CFT out of the critical point. Such a phenomenon is highly specific, as the Renormalisation Theory classifies generally them as non-renormalisable ones. There is an exceptional interest in exactly solvable irrelevant deformations, due to their deny of this statement. The most known example of them is $T\bar{T}$ deformation of the $\mathbb{R}^{1,1}$ CFTs, ruining their initial conformal symmetry and being solvable in terms of the $\beta/ \gamma$ system and CDD type factorisation of the S-matrix.
This project concerns phenomena of such deformations in the higher dimensional conformal theories, such as (3,3) $\mathbb{R}^{1,2}$ ABJM, (4,0) $\mathbb{R}^{1,3}$ SYM and (2,0) $\mathbb{R}^{1,5}$ SCFT. The main framework is the generalisation of $TsT$/$T\bar{T}$ correspondence, based on the features of the generalised Yang-Baxter deformations within proper poly-vectors. This talk concerns to reveal general properties of the deformed 11D and Type II SUGRA field equations' solutions, making them related to the generalisations of the Zamolodchikov solvable irrelevant deformation.
References
1. L. McGough, M. Mezei, H. Verlinde, "Moving the CFT into the bulk with $T\bar{T}$", JHEP 04 (2018) 010.
2. Barakin S., Gubarev K., Musaev E. T. "Tri-vector deformations with external fluxes", Eur.Phys.J.C 84 (2024) 12, 1312
3. K. Gubarev, E. T. Musaev, and T. Petrov, "Polyvector deformations of Type IIB backgrounds", Eur. Phys. J. C 84 no. 10, (2024) 1085
4. Imeroni E., "On deformed gauge theories and their string/M-theory duals", JHEP 10 (2008) 026
