Research Areas
Mathematical Physics. String Theory. Supersymmetric Quantum Field Theory. Geometric structures in superstring theory.
Education
2018.03 - 2022.05 Ph.D. in Mathematics, specialization in Mathematical Physics. University of Lisbon, Portugal.
2016.09 – 2017.09 M.S. in Mathematics. University of Valencia & Polytechnic University of Valencia, Spain.
2015.09 - 2016.09 M.S. in Theoretical Physics. University of Valencia, Spain.
2012.09 – 2015.09 B.S. in Physics. La Sapienza University of Rome, Italy.
Awards
2023 Best PhD thesis in Mathematical Sciences Award – Portuguese Science Foundation "Fciencias.ID".
2015 Introduction to Research scholarship – IFIC, Valencia, Spain
Publications
1. L. Santilli and C. F. Uhlemann, “3d defects in 5d: RG flows and defect F-maximization,” JHEP 06 (2023), 136 [arXiv:2305.01004].
2. M. Akhond, A. Legramandi, C. Nunez, L. Santilli and L. Schepers, “Matrix Models and Holog- raphy: Mass Deformations of Long Quiver Theories in 5d and 3d,” SciPost Phys. 15 (2023), 086 [arXiv:2211.13240].
3. M. Akhond, A. Legramandi, C. Nunez, L. Santilli and L. Schepers, “Massive flows in AdS6/CFT5,” Phys. Lett. B 840 (2023), 137899 [arXiv:2211.09824].
4. D. Perez-Garcia, L. Santilli and M. Tierz, “Dynamical quantum phase transitions from random matrix theory,” [arXiv:2208.01659]. (submitted).
5. L. Santilli and M. Tierz, “Crystal bases and three-dimensional N = 4 Coulomb branches,” JHEP 03 (2022), 073 [arXiv:2111.05206].
6. L. Santilli and M. Tierz, “Schur expansion of random-matrix reproducing kernels,” J. Phys. A 54, no. 43, 435202 (2021) [arXiv:2106.04168].
7. L. Santilli, “Phases of five-dimensional supersymmetric gauge theories,” JHEP 07, 088 (2021) [arXiv:2103.14049].
8. L. Santilli and M. Tierz, “Multiple phases and meromorphic deformations of unitary matrix models,” Nucl. Phys. B 976, 115694 (2022) [arXiv:2102.11305].
9. L. Santilli and M. Tierz, “Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels,” Nucl. Phys. B 973, 115582 (2021) [arXiv:2011.13680].
10. L. Santilli, R. J. Szabo and M. Tierz, “TT-deformation of q-Yang-Mills theory,” JHEP 11, 086 (2020) [arXiv:2009.00657].
11. L. Santilli and M. Tierz, “Exact results and Schur expansions in quiver Chern-Simons-matter theories,” JHEP 10, 022 (2020) [arXiv:2008.00465].
12. L. Santilli and M. Tierz, “Exact equivalences and phase discrepancies between random matrix ensembles,” J. Stat. Mech. 2008, 083107 (2020) [arXiv:2003.10475].
13. L. Santilli and R. J. Szabo and M. Tierz, “Five-dimensional cohomological localization and squashed q-deformations of two-dimensional Yang-Mills theory,” JHEP 06, 036 (2020) [arXiv:2003.09411].
14. L. Santilli and M. Tierz, “SQED3 and SQCD3: Phase transitions and integrability,” Phys. Rev. D 100, no.6, 061702 (2019) [arXiv:1906.09917].
15. L. Santilli and M. Tierz, “Phase transition in complex-time Loschmidt echo of short and long range spin chain,” J. Stat. Mech. 2006, 063102 (2020) [arXiv:1902.06649].
16. L. Santilli and M. Tierz, “Large N phase transition in TT -deformed 2d Yang-Mills theory on the sphere,” JHEP 01, 054 (2019) [arXiv:1810.05404].
17. L. Santilli and M. Tierz, “Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory,” J. Phys. A 52, no.38, 385401 (2019) [arXiv:1808.02855].
18. L. Santilli and M. Tierz, “Complex (super)-matrix models with external sources and q-ensembles of Chern-Simons and ABJ(M) type,” J. Phys. A 53, no.42, 425201 (2020) [arXiv:1805.10543].
Seminars and Talks
Invited seminars
2022 Apr 04 \Exploring unitary matrix models and their phase diagrams,"
MathQI seminar, Universidad Complutense { Madrid, Spain
2021 Dec 16 \Phases of ve-dimensional supersymmetric gauge theories,"
YMSC String theory seminar, Tsinghua University { Beijing, China
2021 May 14 \Phases of ve-dimensional supersymmetric gauge theories,"
Quiver meeting, Imperial college { London, UK
2021 Mar 03 \Exploring the phases of unitary matrix models,"
HoloGuerrilla, Universidad de La Plata { La Plata, Argentina
2018 Oct 31 \A Chern-Simons view of noncommutative scalar theory,"
TQFT Seminar, Instituto Superior Tecninco { Lisbon, Portugal
Conference talks
2022 Mar 23 \Crystal bases and 3d N = 4 Coulomb branches,"
Iberian Strings Conference, University of Oviedo, Gijon, Spain
2022 Feb 07 \Crystals and 3d N = 4 Coulomb branches,"
Geometrization of SQFT in D 6, Aspen Center for Physics, Colorado, US
2021 Jul 23 \New deformations of 2d Yang-Mills theories,"
Integrability in Gauge and String Theory Conference, University of Turin, Italy
2021 Jan 20 \TT-deformation of q-Yang{Mills theories,"
Iberian Strings Conference, Instituto Superior Tecninco, Lisbon, Portugal
2020 Dec 22 \TT-deformation of q-Yang{Mills theories,"
XVI Avogadro Meeting, Galileo Galilei Institute, Italy
2019 Jul 11 \Large N phase transition and TT-deformation of 2d Yang{Mills theory,"
(Ir)regular singularities and Quantum eld theory Conference, University of Lisbon, Portugal
2018 Sep 24 \A Chern{Simons view of noncommutative scalar theory,"
QSpace Training School, Benasque, Spain
2018 Jul 03 \Abelian gauge theory on noncommutative R3 as a scalar theory on Moyal plane,"
ICMAT Summer School, University of Santiago, Spain
Posters and Gong shows
2021 Jun 10 \Phases of ve-dimensional supersymmetric gauge theories,"
Cortona Young, Galileo Galilei Institute, Italy
2021 May 27 \TT-deformation of q-Yang{Mills theories,"
London Integrability Journal Club, Kings College, London, UK
2020 Dec 19 \Exact equivalences and phase discrepancies between random matrix ensembles,"
Random Matrix Theory Workshop, Brunel University, London, UK
