Davide Gaiotto

Teaching Affiliations
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.
Research Interests
From July 31 2021 to July 31 2022 I have worked on two general topics: the study of mathematical properties and applications of supersymmetric or topological quantum field theories in various dimensions and of topologically twisted versions of holography and M-theory.
Awards
- 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
Recent Publications
- Gaiotto, D., Hilburn, J., Redondo-Yuste, J., Webster, B., & Zhou, Z. (2023). Twisted traces on abelian quantum Higgs and Coulomb branches. arxiv:2308.15198v1
- Gaiotto, D., & Johnson-Freyd, T. (n.d.). Mock modularity and a secondary elliptic genus. Journal of High Energy Physics, 2023(8). doi:10.1007/jhep08(2023)094
- Gaiotto, D., Moore, G. W., Neitzke, A., & Yan, F. (2023). Commuting Line Defects At $q^N=1$. arxiv:2307.14429v1
- 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). doi:10.1007/jhep07(2023)127
- Budzik, K., Gaiotto, D., Kulp, J., Williams, B. R., Wu, J., & Yu, M. (2023). Semi-Chiral Operators in 4d ${\cal N}=1$ Gauge Theories. arxiv:2306.01039v1
- 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. arxiv:2211.01419v2
- Dedushenko, M., & Gaiotto, D. (2022). Correlators on the wall and sln spin chain. Journal of Mathematical Physics, 63(9). doi:10.1063/5.0073021
- Gaiotto, D., & Witten, E. (n.d.). Gauge Theory and the Analytic Form of the Geometric Langlands Program. Annales Henri Poincaré. doi:10.1007/s00023-022-01225-6
- 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). 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). doi:10.1007/jhep01(2022)086
- Dedushenko, M., & Gaiotto, D. (n.d.). Algebras, traces, and boundary correlators in $$ \mathcal{N} $$ = 4 SYM. Journal of High Energy Physics, 2021(12). 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). doi:10.1007/jhep11(2021)142
- Gaiotto, D. (2021). Vertex Algebra constructions for (analytic) Geometric Langlands in genus zero. arxiv:2110.02255v1
- 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
- Budzik, K., & Gaiotto, D. (2021). Giant gravitons in twisted holography. arxiv:2106.14859v3
- Gaiotto, D., Lee, J. H., & Wu, J. (2021). Integrable Kondo problems. Journal of High Energy Physics, 2021(4). 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). 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 Unknown Book (pp. 203-221). American Mathematical Society. doi:10.1090/pspum/103.2/01857
- Gaiotto, D., & Rapcak, M. (2020). Miura operators, degenerate fields and the M2-M5 intersection. arxiv:2012.04118v1
- Creutzig, T., & Gaiotto, D. (2020). Vertex Algebras for S-duality. Communications in Mathematical Physics, 379(3), 785-845. doi:10.1007/s00220-020-03870-6
- Gaiotto, D., Lee, J. H., Vicedo, B., & Wu, J. (2020). Kondo line defects and affine Gaudin models. arxiv:2010.07325v2
- Dedushenko, M., & Gaiotto, D. (2020). Correlators on the wall and $\mathfrak{sl}_n$ spin chain. arxiv:2009.11198v2
- Costello, K., Dimofte, T., & Gaiotto, D. (2020). Boundary Chiral Algebras and Holomorphic Twists. arxiv:2005.00083v1
- Gaiotto, D., & Abajian, J. (2020). Twisted M2 brane holography and sphere correlation functions. arxiv:2004.13810v1
- Creutzig, T., Gaiotto, D., & Linshaw, A. R. (2020). S-duality for the Large N = 4 Superconformal Algebra. Communications in Mathematical Physics, 374(3), 1787-1808. doi:10.1007/s00220-019-03673-4
- Gaiotto, D., & Okazaki, T. (2020). Sphere correlation functions and Verma modules. Journal of High Energy Physics, 2020(2). doi:10.1007/jhep02(2020)133
- Frenkel, E., & Gaiotto, D. (2020). Quantum Langlands dualities of boundary conditions, $D$-modules, and conformal blocks. Communications in Number Theory and Physics, 14(2), 199-313. doi:10.4310/cntp.2020.v14.n2.a1
Seminars
- 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
- Holomorphic surfaces from determinants, Mathematical Physics, 2021/10/08, PIRSA:21100016
- Chiral algebra tools methods for the analytic Geometric Langlands program, continuation, Geometric Langlands Office Hours, 2021/03/24, Video URL
- Brane quantization, M-Seminar, Kansas State University, 2021/02/04
- Vertex operators and screening charges as gauge-invariant brane intersections in twisted M-theory, QFT and Geometry Seminars, QFT Geometry, 2021/01/28, Video URL
- Chiral algebras and twisted gauge theories, High Energy Theory Seminar, Institute for Advanced Study, Princeton, United States, 2021/01/01
- Twisted Holography, ICMP Thematic Session 12 - String Theory and Quantum Gravity, ICMP, 2021/01/01
- A (non) chiral algebra wishlist, Banff, 2021/01/01
- Giant gravitons in Twisted Holography, ISM 2021, 2021/01/01
- Giant gravitons in Twisted Holography, Rutgers, 2021/01/01
- 4d SYM applications to analytic Geometric Langlands, Mathematical physics Colloquium in Hamburg, Hamburg, 2021/01/01
- A curious formula, String/QFT workshop, Japan, 2021/01/01
- The ODE/IM solution of integrable Kondo problems, High Energy Theory Seminars Caltech, Online Event, 2020/10/30