Graduate School in Physics and Astrophysics
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ANNUAL REPORT
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name: Riccardo Conti
email: riccardo.conti@to.infn.it
ciclo: XXXII
year completed (1,2 or 3): 1
supervisor: Roberto Tateo
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GRADUATE SCHOOL COURSES
(only completed courses, with examination passed in the year)
code: T01
title: Particle Dark Matter
teacher: Nicolao Fornengo
hours: 20
code: T02
title: Introduction to the large-N limit
teacher: Marco Panero
hours: 20
code: T03
title: Higgs Physics
teacher: Giampiero Passarino
hours: 20
code: T05
title: Introducing Susy
teacher: Igor Pesando
hours: 20
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COURSES FROM OTHER GRADUATE SCHOOLS
(only completed courses, with examination passed in the year)
school:
title:
teacher:
hours:
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UNDERGRADUATE COURSES (Laurea Magistrale)
(only completed courses, with examination passed in the year)
title:
teacher:
hours:
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SUMMER SCHOOLS, INTERNATIONAL SCHOOLS
(only those attended in the current year)
title: LACES 2016
place: Florence
webpage: http://laces.web.cern.ch/laces/LACES16/index16.html
days: from 21/11/2016 to 09/12/2016 (19 days)
talk or poster (Y/N): N
title: SFT 2017
place: Florence
webpage: http://theory.fi.infn.it/SFTschool/SFT_2017/
days: from 06/02/2017 to 17/02/2017 (12 days)
talk or poster (Y/N): N
title: YRISW 2017
place: Dublin
webpage: http://www.maths.tcd.ie/~tristan/YRISW_2017/
days: from 27/02/2017 to 03/03/2017 (5 days)
talk or poster (Y/N): Y (talk)
title: AdS3: theory and practice
place: Florence
webpage: https://www.ggi.infn.it/showevent.pl?id=255
days: from 27/03/2017 to 31/03/2017 (5 days)
talk or poster (Y/N): N
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CONFERENCES, WORKSHOP
(only those attended in the current year)
title: IGST 2017
place: Paris
webpage: https://www.phys.ens.fr/~igst17/
days: from 16/07/2017 to 21/07/2017 (5 days)
talk or poster (Y/N): N
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VISITS AND STAGES
(only those done in the current year)
institution:
place:
starting date:
days:
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Research activity/Publications in the current year
(max characters 2500)
The research I conducted during my first year of PhD is focused on the investigation of some interesting aspects in the context of the AdS/CFT correspondence, using integrability techniques. Up to now two models of quantum field theories have been the subjects of my research: N=4 Super Yang-Mills (SYM) and N=6 Super Chern-Simons (ABJM), in four and three dimensions respectively. They are expected to be exactly solvable in a particular limit (planar limit) due to the combination of conformal symmetry and the applicability of integrability methods. This special feature makes them the only known examples of integrable models in higher than two dimensions. Conformal symmetry reduces the solution of these theories to the calculation of 2- and 3-point correlation functions, which ultimately depend only on the conformal dimensions (which make up the spectrum of a Conformal Field Theory (CFT)) of local operators and on the structure constants. While the computation of the structure constants is still an open problem, integrability provides various non-perturbative techniques (the most powerful being the Quantum Spectral Curve (QSC)) to compute the spectrum and many other significant physical quantities. The first project I was involved in consisted in the solution of the spectral problem for ABJM model using the QSC technique, following what was previously done for N=4 SYM. The main result is the development of a general algorithm to compute the conformal dimension of virtually any operator of the theory at any value of the coupling constant. Remarkably our results give further evidence to the conjectured AdS_4/CFT_3 correspondence which relates ABJM model, i.e. a three dimensional CFT, to a type IIA superstring theory defined on a suitable curved background involving the AdS_4 space. In addition the algorithm was used to perform analytic continuation in the complex plane of the coupling constant in order to explore the structure of the spectrum around singularities branch point-like. More recently I started a second project concerning the study of expectation values (one-point functions) in N=4 SYM at finite coupling using integrability techniques.
BE AWARE: research activity and Pubs are not evaluated as didactic credits,
but are requested to trace the PhD students' career