This project has already led to 7 publications during the reporting period. I have found a new realization of the SL(2,Z) duality in nonrelativistic string and M-theory, which led to the following publications: (1) branched SL(2,ℤ) duality, JHEP 10 (2022) 131, (2) non-Lorentzian IIB supergravity from a polynomial realization of SL(2, ℝ), JHEP 12 (2023) 022, and (3) anisotropic compactification of nonrelativistic M-theory, JHEP 11 (2023) 135. This work makes the transition from nonrelativistic string theory to the study of matrix quantum mechanics. I also published a paper on a novel worldsheet theory for quantum critical membranes in spacetime with two metrics ((4) renormalization of supersymmetric Lifshitz sigma models, JHEP 03 (2023) 008). Finally, in two of my latest publications with the PI (Prof. Obers) ((5) worldsheet formalism for decoupling limits in string theory, JHEP 07 (2024) 102; (6) unification of decoupling limits in string and M theory, Phys.Rev.Lett. 132 (2024) 16, 161603), I studied the duality web unifying important limits in string/M-theory, and established new connections to important theories. I was also invited to write a review article, which has been accepted to J. Phys. A ((7) exact approaches on the string worldsheet, arXiv:2312.12930 [hep-th], where I was responsible for section 7. Matrix theory and the string worldsheet).
I am now finishing the manuscripts for the further results produced during the reporting period, and will publish 4 more papers soon. This includes (1) matrix theory reloaded I: a BPS road to holography, (2) axions, three-forms, and M-theory, (3) conformal mapping of non-Lorentzian geometries in SU(1,2) conformal field theory, (4) heterotic string sigma models: discrete light cone quantization and its TTbar deformation. I also anticipate 3 more papers in the future with the main results obtained during the reporting period (with the PI, Prof. Obers): (1) Matrix theory reloaded II: non-Lorentzian geometries and split U-duality, (2) matrix theory reloaded III: multicritical M-theory from double DLCQs, and (3) tensionless and Carrollian strings from Matrix theory.
Other disseminations include the 1 organized workshop, 9 conference talks, and 14 seminars.