Graduate School in Physics and Astrophysics
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ANNUAL REPORT
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name: Riccardo Conti
email: riccardo.conti@unito.it , riccardo.conti@to.infn.it
ciclo: XXXII
year completed (1,2 or 3): 2
supervisor: Roberto Tateo
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SUMMER SCHOOLS, INTERNATIONAL SCHOOLS
(only those attended in the current year)
title: YRISW 2018
place: Ascona
webpage: https://conf.itp.phys.ethz.ch/yrisw18/
days: from 07/01/2018 to 13/01/2018 (7 days)
talk or poster (Y/N): Y (poster)
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CONFERENCES, WORKSHOP
(only those attended in the current year)
title: IGST 2018
place: Copenhagen
webpage: https://indico.nbi.ku.dk/event/1050/
days: from 20/08/2018 to 24/08/2018 (5 days)
talk or poster (Y/N): Y (poster)
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Research activity/Publications in the current year
(max characters 2500)
Research activity:
In the second year of PhD I worked on two main different lines of research, namely: (1) the application of integrability techniques to 4D and 3D superconformal quantum field theories (QFTs), N=4 Super Yang-Mills (SYM) and N=6 Super Chern-Simons (ABJM) respectively, and (2) the study of integrable deformations of 2D QFTs. The first line (1) is a natural extension of the research I carried on during the first year of PhD. The main result in this context is the solution of the spectral problem for the ABJM model through the development of an integrability-based algorithm to compute conformal dimensions of virtually any operator in ABJM theory at any value of the coupling constant [1]. Moreover, the results of this work provide further evidence in favour of the conjectured $AdS_4/CFT_3$ correspondence. As a side project (to appear), this algorithm has been adapted to investigate the analytic structure of the conformal dimension. More precisely, the goal of this work is to find the critical exponents of the conformal dimension around branch point singularities in the complex plane of the coupling constant. The second line of research (2) is instead a whole new project which I started during the second year of PhD. The central idea is to investigate the fundamental aspects of a recently discovered (2016) deformation of 2D QFTs, generated by the irrelevant operator known as $T\bar{T}$, which interestingly preserves the integrability of the underlying theory. Surprisingly, while the evolution of the deformed spectrum is completely under control at the quantum level, not much was known about the geometrical interpretation of the deformation at the classical level. The main purpose of the works [2] and [3] is to fill this gap by showing that the deformation acts as a field-dependent change of space-time coordinates which induces a gravitational interaction between matter fields and a deformed metric [3]. The identification of the deformed metric with a Jackiw-Teitelboim (JT) gravity matches with results previously obtained from a different perspective. In addition to that, we explored possible extensions of this deformation to higher dimensions by showing that the 4D Maxwell Born-Infeld theory of electrodynamics can be interpreted as a deformation of 4D Maxwell electrodynamics at the classical level [2]. The next step will be to supplement this classical description with a full understanding of the quantum aspects.
List of publications:
[1] D. Bombardelli, A. Cavaglià, R. Conti, R. Tateo, "Exploring the spectrum of planar $AdS_4/CFT_3$ at finite coupling", JHEP 1804 (2018) 117, arXiv:1803.04748 [hep-th]
[2] R. Conti, L. Iannella, S. Negro, R. Tateo, "Generalised Born-Infeld models, Lax operators and the $T\bar{T}$ perturbation", arXiv:1806.11515 [hep-th]
[3] R. Conti, S. Negro, R. Tateo, "The $T\bar{T}$ perturbation and its geometric intepretation", arXiv:1809.09593 [hep-th]
BE AWARE: research activity and Pubs are not evaluated as didactic credits,
but are requested to trace the PhD students' career