Davide Gaiotto

Davide Gaiotto profile picture
Krembil Galileo Galilei Chair in Theoretical Physics
Perimeter Institute for Theoretical Physics
Research Faculty
Perimeter Research Chair
Areas of research:
Mathematical Physics
Quantum Fields and Strings
(519) 569-7600 x5004
If you are interested in pursuing a MSc degree, please apply to the Perimeter Scholars International (PSI) masters program. If you are interested in working with me as a PhD student, please send me an email at [email protected]. The PSI program offers the simplest route to work with me as a PhD student.

My research primarily focuses on theoretical and mathematical physics, with a particular emphasis on the interplay between quantum field theory (QFT), string theory, algebra and geometry. Much of my work concerns QFTs which are supersymmetric or topological. 

  • Simons Collaboration on Confinement and QCD Strings, Simons Foundation, 2022-2026
  • Discovery Grant, Natural Sciences and Engineering Research Council of Canada (NSERC), 2019-2024
  • New Horizons in Physics Prize, Fundamental Physics Prize Foundation, 2013
  • The Gribov Medal, European Physical Society, 2011
  • Costello, K., Gaiotto, D., & Yagi, J. (n.d.). Q-operators are ’t Hooft lines. Journal of High Energy Physics, 2024(11), 3. doi:10.1007/jhep11(2024)003
  • Gaiotto, D., López-Raven, A., Silverans, H., & Zeng, K. (2024). Categorical 't Hooft expansion and chiral algebras. arxiv:2411.00760v1
  • Gaiotto, D., & Kim, H. (2024). 3D TFTs from 4d ${\cal N}=2$ BPS Particles. arxiv:2409.20393v1
  • Gaiotto, D., & Verlinde, H. (2024). SYK-Schur duality: Double scaled SYK correlators from $N=2$ supersymmetric gauge theory. arxiv:2409.11551v1
  • Balduf, P. -H., & Gaiotto, D. (2024). Combinatorial proof of a Non-Renormalization Theorem. arxiv:2408.03192v2
  • Gaiotto, D., & Lee, J. H. (n.d.). The giant graviton expansion. Journal of High Energy Physics, 2024(8), 25. doi:10.1007/jhep08(2024)025
  • Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (n.d.). The $g$-function and defect changing operators from wavefunction overlap on a fuzzy sphere. SciPost Physics, 17(1), 021. doi:10.21468/scipostphys.17.1.021
  • Gaiotto, D., & Teschner, J. (2024). Schur Quantization and Complex Chern-Simons theory. arxiv:2406.09171v2
  • Gaiotto, D., Grygoryev, N., & Li, W. (2024). Categories of Line Defects and Cohomological Hall Algebras. arxiv:2406.07134v2
  • Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (2024). The $g$-function and Defect Changing Operators from Wavefunction Overlap on a Fuzzy Sphere. doi:10.21468/scipost.report.9169
  • Budzik, K., Gaiotto, D., Kulp, J., Williams, B. R., Wu, J., & Yu, M. (n.d.). Semi-chiral operators in 4d N = 1 gauge theories. Journal of High Energy Physics, 2024(5), 245. doi:10.1007/jhep05(2024)245
  • Zhou, Z., Gaiotto, D., He, Y. -C., & Zou, Y. (2024). The $g$-function and Defect Changing Operators from Wavefunction Overlap on a Fuzzy Sphere. doi:10.21468/scipost.report.8822
  • Gaiotto, D., Kulp, J., & Wu, J. (2024). Higher Operations in Perturbation Theory. arxiv:2403.13049v1
  • Gaiotto, D., & Teschner, J. (2024). Quantum Analytic Langlands Correspondence. arxiv:2402.00494v1
  • Gaiotto, D., & Witten, E. (2024). Gauge Theory and the Analytic Form of the Geometric Langlands Program. Annales Henri Poincaré, 25(1), 557-671. doi:10.1007/s00023-022-01225-6
  • Budzik, K., & Gaiotto, D. (n.d.). Twisted holography without conformal symmetry. Journal of High Energy Physics, 2023(12), 104. doi:10.1007/jhep12(2023)104
  • Budzik, K., & Gaiotto, D. (n.d.). Giant gravitons in twisted holography. Journal of High Energy Physics, 2023(10), 131. doi:10.1007/jhep10(2023)131
  • Gaiotto, D., Rapcák, M., & Zhou, Y. (2023). Deformed Double Current Algebras, Matrix Extended $\mathcal W_{\infty}$ Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection. arxiv:2309.16929v3
  • Gaiotto, D., & Khan, A. (2023). Categorical Pentagon Relations and Koszul Duality. arxiv:2309.12103v1
  • Gaiotto, D., Hilburn, J., Redondo-Yuste, J., Webster, B., & Zhou, Z. (2023). Twisted traces on abelian quantum Higgs and Coulomb branches. arxiv:2308.15198v2
  • Gaiotto, D., & Johnson-Freyd, T. (n.d.). Mock modularity and a secondary elliptic genus. Journal of High Energy Physics, 2023(8), 94. doi:10.1007/jhep08(2023)094
  • Gaiotto, D., Moore, G. W., Neitzke, A., & Yan, F. (2023). Commuting Line Defects At $q^N=1$. doi:10.48550/arxiv.2307.14429
  • Gaiotto, D. (2023). Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality. arxiv:2307.12396v1
  • Budzik, K., Gaiotto, D., Kulp, J., Wu, J., & Yu, M. (n.d.). Feynman diagrams in four-dimensional holomorphic theories and the Operatope. Journal of High Energy Physics, 2023(7), 127. doi:10.1007/jhep07(2023)127
  • Costello, K., Dimofte, T., & Gaiotto, D. (2023). Boundary Chiral Algebras and Holomorphic Twists. Communications in Mathematical Physics, 399(2), 1203-1290. doi:10.1007/s00220-022-04599-0
  • Budzik, K., & Gaiotto, D. (2022). Twisted holography without conformal symmetry. doi:10.48550/arxiv.2211.01419
  • Dedushenko, M., & Gaiotto, D. (2022). Correlators on the wall and sln spin chain. Journal of Mathematical Physics, 63(9), 092301. doi:10.1063/5.0073021
  • Gaiotto, D., & Johnson-Freyd, T. (2022). Holomorphic SCFTs with small index. Canadian Journal of Mathematics, 74(2), 573-601. doi:10.4153/s0008414x2100002x
  • Gaiotto, D., Lee, J. H., Vicedo, B., & Wu, J. (2022). Kondo line defects and affine Gaudin models. Journal of High Energy Physics, 2022(1), 175. doi:10.1007/jhep01(2022)175
  • Gaiotto, D., & Rapcák, M. (2022). Miura operators, degenerate fields and the M2-M5 intersection. Journal of High Energy Physics, 2022(1), 86. doi:10.1007/jhep01(2022)086
  • Dedushenko, M., & Gaiotto, D. (n.d.). Algebras, traces, and boundary correlators in N = 4 SYM. Journal of High Energy Physics, 2021(12), 50. doi:10.1007/jhep12(2021)050
  • Delmastro, D., Gaiotto, D., & Gomis, J. (2021). Global anomalies on the Hilbert space. Journal of High Energy Physics, 2021(11), 142. doi:10.1007/jhep11(2021)142
  • Gaiotto, D. (2021). Vertex Algebra constructions for (analytic) Geometric Langlands in genus zero. arxiv:2110.02255v2
  • Gaiotto, D., & Lee, J. H. (2021). The Giant Graviton Expansion. arxiv:2109.02545v1
  • Gaiotto, D., & Witten, E. (2021). Probing Quantization Via Branes. arxiv:2107.12251v2
  • Gaiotto, D., & Witten, E. (2021). Gauge Theory and the Analytic Form of the Geometric Langlands Program. arxiv:2107.01732v4
  • Gaiotto, D., Lee, J. H., & Wu, J. (2021). Integrable Kondo problems. Journal of High Energy Physics, 2021(4), 268. doi:10.1007/jhep04(2021)268
  • Costello, K., Gaiotto, D., & Yagi, J. (2021). Q-operators are 't Hooft lines. arxiv:2103.01835v1
  • Gaiotto, D., & Kulp, J. (n.d.). Orbifold groupoids. Journal of High Energy Physics, 2021(2), 132. doi:10.1007/jhep02(2021)132
  • Gaiotto, D., Johnson-Freyd, T., & Witten, E. (2021). A Note On Some Minimally Supersymmetric Models In Two Dimensions. In Integrability, Quantization, and Geometry (Vol. 103.2, pp. 203-221). American Mathematical Society (AMS). doi:10.1090/pspum/103.2/01857
  • Holomorphic-Topological Twists and their Applications, Mathematics on the Crossroad of Centuries, IHES, 2024/09/07
  • Lecture - Twisted Holography a, Celestial Holography Summer School 2024, 2024/07/26, PIRSA:24070022
  • Lecture - Twisted Holography b, Celestial Holography Summer School 2024, 2024/07/26, PIRSA:24070023
  • Schur Quantization of Complex Chern-Simons Theory, String Math 2024, International Centre for Theoretical Physics, Trieste, Italy, 2024/06/14
  • String Theory Lecture, String Theory 2023/24, 2024/05/01, PIRSA:24050002
  • String Theory Lecture, String Theory 2023/24, 2024/04/29, PIRSA:24040044
  • String Theory Lecture, String Theory 2023/24, 2024/04/26, PIRSA:24040043
  • String Theory Lecture, String Theory 2023/24, 2024/04/24, PIRSA:24040042
  • String Theory Lecture, String Theory 2023/24, 2024/04/22, PIRSA:24040041
  • String Theory Lecture, String Theory 2023/24, 2024/04/19, PIRSA:24040040
  • String Theory Lecture, String Theory 2023/24, 2024/04/17, PIRSA:24040039
  • String Theory Lecture, String Theory 2023/24, 2024/04/15, PIRSA:24040038
  • String Theory Lecture, String Theory 2023/24, 2024/04/12, PIRSA:24040037
  • String Theory Lecture, String Theory 2023/24, 2024/04/11, PIRSA:24040035
  • String Theory Lecture, String Theory 2023/24, 2024/04/10, PIRSA:24040036
  • String Theory Lecture, String Theory 2023/24, 2024/04/05, PIRSA:24040034
  • String Theory Lecture, String Theory 2023/24, 2024/04/03, PIRSA:24040033
  • Unexpected Unitarity, Arithmetic Quantum Field Theory Conference,, Harvard University, Cambridge, United States, 2024/03/27
  • Chiral algebras in the planar limit., Workshop on New Directions in Conformal Field Theory, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, 2024/03/20
  • Twisted Holography Mini-Course - Lecture 20231214, Twisted Holography Mini-Course, 2023/12/14, PIRSA:23120018
  • Twisted Holography Mini-Course - Lecture 20231130, Twisted Holography Mini-Course, 2023/11/30, PIRSA:23110042
  • Twisted Holography Mini-Course - Lecture 20231123, Twisted Holography Mini-Course, 2023/11/23, PIRSA:23110041
  • Twisted Supersymmetric Yang-Mills Theory, 2023 Simons Collaboration on Confinement and QCD Strings Annual Meeting, Simons Foundation, New York, United States, 2023/11/03
  • Quantization via SQFT, Quantum Fields and Strings, 2023/09/26, PIRSA:23090111
  • Quantum Fields and Strings Lecture - 230331, Quantum Fields and Strings (2022/2023), 2023/03/31, PIRSA:23030028
  • Quantum Fields and Strings Lecture - 230329, Quantum Fields and Strings (2022/2023), 2023/03/29, PIRSA:23030027
  • Quantum Fields and Strings Lecture - 230327, Quantum Fields and Strings (2022/2023), 2023/03/27, PIRSA:23030026
  • Quantum Fields and Strings Lecture - 230324, Quantum Fields and Strings (2022/2023), 2023/03/24, PIRSA:23030025
  • Quantum Fields and Strings Lecture - 230322, Quantum Fields and Strings (2022/2023), 2023/03/22, PIRSA:23030024
  • Quantum Fields and Strings Lecture - 230320, Quantum Fields and Strings (2022/2023), 2023/03/20, PIRSA:23030023
  • Quantization of Poisson vertex algebras, 2022/12/13
  • Geometry of (S)QFT, SCGP, 2022/10/12
  • Discussion on Langlands, QFT for Mathematicians 2022, 2022/06/30, PIRSA:22060094
  • Discussion on 4d N=2, QFT for Mathematicians 2022, 2022/06/29, PIRSA:22060090
  • Holomorphic BF theory, 4d SYM and the analytic Geometric Langlands program, QFT for Mathematicians 2022, 2022/06/28, PIRSA:22060083
  • On Boundary VOA's, QFT for Mathematicians 2022, 2022/06/21, PIRSA:22060068
  • Non-Archimedean CFT correlators, Oberwolfach, 2022/01/01
  • Feynman diagrams in 4d holomorphic QFT, Goncharov celebration, 2022/01/01
  • (Giant gravitons in) Twisted Holography, Princeton, 2022/01/01
  • 1-form symmetries and the phase diagram of Yang Mills theory, KITP FluxTube 2022, 2022/01/01
  • Applications of twisted quantum field theory, Dublin, 2022/01/01
  • Perturbative calculations in twisted 4d gauge theories, String Math 2022, 2022/01/01
  • Giant gravitons in Twisted Holography, McGill, 2022/01/01
  • Large charge asymptotic expansion for superconformal indices, ReNewQuantum, 2021/12/07