Exact results in gauge theories
Final Report Abstract
In three out of five sub-projects we have produced the most important scientific advances. On the one hand, the progress on “Integrability and Exact effective couplings” and on the other hand the connections between exact results in supersymmetric gauge theories, 2D CFTs and integrable models. Moreover, sub-sectors with bi-fundamantal hypermultiplets we have discovered that they correspond to dynamical spin chain and that they can be solved using elliptic quantum groups. The advancements concerning the 2D Toda CFT are beyond what we had envisioned in the initial application. Moreover, the extend to which we where able to push the program for N = 1 theories in class Sk was the biggest positive “surprise”. This turned our attention to attempting to use Localization techniques for theories with only N = 1 supersymmetry, a big open problems in our field. With this goal in mind we organised with Bruno Le-Floch and Masahito Yamazaki a summer school on “Supersymmetric localization and exact results” at IHES, which was received with great success. We also have had deviations from the original concept, following major breakthroughs that happened in our field in the meantime. Firstly, we worked and published a paper on the novel non-Lagrangian 4D N = 3 theories. Moreover, following the modern bootstrap techniques which apply in general dimensions and have been discovered the last few years, we tried to enter the Bootstrap program through a study of the conformal window of QCD. Finally, we were able to use our expertise on 4D N = 2 SCFTs to obtain the Exact Deconstruction of the 6D (2,0) Theory and to produce novel Ward identities in the Higgs branch and to test anomaly matching fully non-perturbative for type B anomalies.
Publications
- “Toda conformal blocks, quantum groups, and flat connections,” Commun. Math. Phys. 375 (2019) no.2, 1117-1158
I. Coman, E. Pomoni and J. Teschner
(See online at https://doi.org/10.1007/s00220-019-03617-y) - “Trinion Conformal Blocks from Topological strings,” JHEP 09 (2020), 078
I. Coman, E. Pomoni and J. Teschner
(See online at https://doi.org/10.1007/JHEP09(2020)078) - “Exact Bremsstrahlung and Effective Couplings,” JHEP 1606, 078 (2016)
V. Mitev and E. Pomoni,
(See online at https://doi.org/10.1007/JHEP06(2016)078) - “2D CFT blocks for the 4D class Sk theories,” JHEP 1708, 009 (2017)
V. Mitev and E. Pomoni
(See online at https://doi.org/10.1007/JHEP08(2017)009) - “Exact Deconstruction of the 6D (2,0) Theory,” JHEP 1706, 072 (2017)
J. Hayling, C. Papageorgakis, E. Pomoni and D. Rodriguez-Gomez
(See online at https://doi.org/10.1007/JHEP06(2017)072) - “Spectral curves of N = 1 theories of class Sk ,” JHEP 1706, 136 (2017)
I. Coman, E. Pomoni, M. Taki and F. Yagi
(See online at https://doi.org/10.1007/JHEP06(2017)136) - “4d N = 3 indices via discrete gauging,” JHEP 10 (2018), 131
T. Bourton, A. Pini and E. Pomoni
(See online at https://doi.org/10.1007/JHEP10(2018)131) - “4D N = 2 SCFTs and spin chains,” J. Phys. A 53 (2020) no.28, 283005
E. Pomoni
(See online at https://doi.org/10.1088/1751-8121/ab7f66) - “Instanton counting in Class Sk ,” J. Phys. A 53 (2020) no.16, 165401
T. Bourton and E. Pomoni
(See online at https://doi.org/10.1088/1751-8121/ab6a6d) - “Type-B Anomaly Matching and the 6D (2,0) Theory,” JHEP 04 (2020), 048
V. Niarchos, C. Papageorgakis and E. Pomoni
(See online at https://doi.org/10.1007/JHEP04(2020)048)
