328 papers
This work generalizes the relationship between star-exponentials and quantum propagators to fermionic systems within deformation quantization, deriving a fermionic Feynman-Kac formula for ground state energy calculation and validating the method using harmonic and driven Fermi oscillators.
This paper employs topological -group calculations for fiber bundles over tori, leveraging the index theorem of Dirac operators arising from spin-orbit interactions and time-reversal invariance, to mathematically explain the existence of gap-less conducting surface states in topological insulators.
These lecture notes from the 2024 Les Houches school provide an introduction to the moduli space of Riemann surfaces, covering their recursive boundary structure, Witten's conjecture via topological recursion, and their connections to JT gravity and topological strings.
This paper establishes that the newly introduced string tangential structure satisfies the condition for type IIA string theory, extends the orientation of to include level structures , and applies the resulting homotopy groups to analyze anomaly cancellation in specific string compactifications.
This paper derives four-derivative corrections to the heterotic Kerr-Sen black hole solution via field redefinitions and boosts, demonstrating that the resulting distinct multipole moments offer a potential experimental signature to differentiate string theory from Einstein-Maxwell theory in gravitational wave data.
This paper demonstrates that the trace-free Einstein tensor cannot be derived from any local action functional via variation with respect to the metric, even when the requirement of diffeomorphism invariance is removed.
This paper presents a complete classification of dimer integrable systems associated with the 16 reflexive polygons, detailing their Hamiltonian structures and spectral curves while identifying 16 birational equivalences that group them into five distinct classes and demonstrate how brane tiling deformations preserve key moduli space invariants.
This paper introduces a family of "asymptotically solvable" quantum circuits that exhibit generic, chaotic dynamics at short times while becoming exactly solvable at longer times, thereby providing a bridge to understand non-equilibrium quantum matter through exact analytical results and numerical experiments on both equilibrium correlations and thermalization.