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Figure courtesy of Domenico Orlando.

Integrable Models

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Fotografia

Attività

The research team is studying the link between integrable models and other sectors of physics and mathematics. The main research topics are:

  • Integrability in Gauge Theory and AdS/CFT duality
  • Statistical Models and 2D Quantum Field Theory
  • Solvable deformations of field theories and investigation of the space of 2D theories
  • Hybrid Integrability and Conformal Bootstrap approach for solvable CFTs
  • ODE/IM Correspondence, Separation of Variables and other integrable structures 
  • Relation between Integrability and 4D Chern-Simons theory

The group has participated in several MIUR-PRIN projects and in European research and training networks.

We are part of the MIUR-PRIN project 2022ABPBEY "Understanding Quantum Field Theory through its Deformations".

Together with the Lattice Field Theory group, we are part of the Statistical Field Theory (SFT) scientific initiative of INFN.

We are members of the recently-founded GATIS+ cooperation network involving 15 prestigious European institutions. GATIS+ is an interdisciplinary research and training network devoted to the development of  Gauge Theory  at the interface of  Mathematics, Statistical physics, Computer Algebra and Experiments.

In the past, we have been cooperation partners of the international Gauge Theory as an Integrable System (GATIS) network, funded by the European Commission.

Together with the String Theory and Supergravity group, we have been part of the MAST (Modern Application of String Theory) project (progetto di Ateneo 2012 funded by Compagnia di San Paolo).

Prodotti della ricerca

  • A. Cavaglià, S. Ekhammar, N. Gromov, P. Ryan,
    “Exploring the Quantum Spectral Curve for AdS3/CFT2'', preprint arxiv.org/abs/2211.07810.
  • F. Aramini, N. Brizio, S. Negro, R. Tateo,
    “Deforming the ODE/IM correspondence with TTbar'',
    JHEP 03 (2023) 084
    doi:10.1007/JHEP03(2023)084
    [arXiv:2212.13957 [hep-th]]
  • A. Cavaglià, N. Gromov, J. Julius, M. Preti,
    “Integrated correlators from integrability: Maldacena-Wilson line in N=4 SYM'',
    JHEP 04 (2023) 026
    doi:10.1007/JHEP04(2023)026
    [arXiv:2211.03203 [hep-th]]
    https://iris.unito.it/handle/2318/1915352                                    
  • R. Conti, J. Romano, R. Tateo,
    “Metric approach to a TTbar-like deformation in arbitrary dimensions'',
    JHEP 09 (2022) 085
    doi:10.1007/JHEP09(2022)085
    [arXiv:2206.03415 [hep-th]]
     https://iris.unito.it/handle/2318/1887401 
  • P. Ceschin, R. Conti, R. Tateo,
    “T T ¯-deformed nonlinear Schrodinger'',
    JHEP 04 (2021) 121
    doi:10.1007/JHEP04(2021)121
    [arXiv:2012.12760 [hep-th]]
    https://iris.unito.it/handle/2318/1789677  
  • R. Conti, H. Topchyan, R. Tateo, A. Sedrakyan,
    “Geometry of random potentials: induction of two-dimensional gravity in quantum Hall plateau transitions'',
    Phys. Rev. B 103 (2021) 4, L041302
    doi:10.1103/PhysRevB.103/L041302
    [arXiv:2008.09198 [cond-mat.dis-nn]]
    https://iris.unito.it/handle/2318/1773213 
  • P. Dorey, C. Dunning, S. Negro, R. Tateo,
    “Geometric aspects of the ODE/IM correspondence'',
    J. Phys. A 53 (2020) 22, 223001
    doi:10.1088/1751-8121/ab83c9
    [arXiv:1911.13290 [hep-th]]
    https://iris.unito.it/handle/2318/1762893 
  • PT Symmetry:
    2019-01-01 Carl M Bender, Patrick E Dorey, Clare Dunning, Andreas Fring, Daniel W Hook, Hugh F Jones, Sergii Kuzhel, Géza Lévai, Roberto Tateo https://iris.unito.it/handle/2318/1689750
  • R. Conti, S. Negro, R. Tateo,
    “Conserved currents and T T ¯s irrelevant deformations of 2D integrable field theories'',
    JHEP 11 (2019) 120
    doi:10.1007/JHEP11(2019)120
    [arXiv:1904.09141 [hep-th]]
    https://iris.unito.it/handle/2318/1720960
  • R. Conti, S. Negro, R. Tateo,
    “The T T ¯ perturbation and its geometric interpretation'',
    JHEP 02 (2019) 085
    doi:10.1007/JHEP02(2019)085
    [arXiv:1809.09593 [hep-th]]
    https://iris.unito.it/handle/2318/1710919 
  • R. Conti, L. Iannella, S. Negro, R. Tateo,
    “Generalised Born-Infeld models, Lax operators and the TTbar perturbation'',
    JHEP 11 (2018) 007
    doi:10.1007/JHEP11(2018)007
    [arXiv:1806.11515 [hep-th]]
    https://iris.unito.it/handle/2318/1689719  
  • D. Bombardelli, A. Cavaglià, R. Conti, R. Tateo,
    “Exploring the spectrum of planar AdS4/CFT3 at finite coupling'',
    JHEP 04 (2018) 117
    doi:10.1007/JHEP04(2018)117
    [arXiv:1803.04748 [hep-th]]
    https://iris.unito.it/handle/2318/1672415   
  • D. Bombardelli, A. Cavaglià, D. Fioravanti, N. Gromov, R. Tateo,
    “The full Quantum Spectral Curve for AdS4/CFT3'',
    JHEP 09 (2017) 140
    doi:10.1007/JHEP09(2017)140
    [arXiv:1701.00473 [hep-th]]
    https://iris.unito.it/handle/2318/1657373
  • A. Cavaglià, N. Gromov, F. Levkovich-Maslyuk,
    “On the exact interpolating function in ABJ theory'',
    JHEP 12 (2016) 086
    doi:10.1007/JHEP12(2016)086
    [arXiv:1605.04888 [hep-th]]
    https://iris.unito.it/handle/2318/1868547
  • A. Cavaglià, S. Negro, I.M. Szécsényi and R. Tateo,
    “T Tbar-deformed 2D Quantum Field Theories'',
    JHEP 1610, 112 (2016)
    doi:10.1007/JHEP10(2016)112
    [arXiv:1608.05534 [hep-th]]
    https://iris.unito.it/handle/2318/1621472#.WHX1b-3LtVI
  • A. Cavaglià, M. Cornagliotto, M. Mattelliano and R. Tateo,
    “A Riemann-Hilbert formulation for the finite temperature Hubbard model'',
    JHEP 1506, 015 (2015)
    doi:10.1007/JHEP06(2015)015
    [arXiv:1501.04651 [hep-th]]
    https://iris.unito.it/handle/2318/1530704#.WHXwxe3LtVI
  • A. Cavaglià, D. Fioravanti, N. Gromov and R. Tateo,
    “Quantum Spectral Curve of the N=6 Supersymmetric Chern-Simons Theory'',
    Phys. Rev. Lett. 113 , no. 2, 021601 (2014)
    doi:10.1103/PhysRevLett.113.021601
    [arXiv:1403.1859 [hep-th]]
    https://iris.unito.it/handle/2318/148699#.WHXw8e3LtVI
  • L. Anselmetti, D. Bombardelli, A. Cavaglià and R. Tateo,
    “12 loops and triple wrapping in ABJM theory from integrability”,
    JHEP 1510, 117 (2015)
    doi:10.1007/JHEP10(2015)117
    [arXiv:1506.09089 [hep-th]]
    https://iris.unito.it/handle/2318/1530713#.WHTYnh-i7OQ

Ultimo aggiornamento: 29/02/2024 14:46
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