Solutions of the Loop Equations of a Class of Generalized Frobenius Manifolds
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-024-05083-7
Abstract: We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one-dimensional generalized Frobenius manifold, that the… read more here.
Keywords: frobenius manifolds; generalized frobenius; solutions loop; loop equations ... See more keywords
Gaussian unitary ensemble via Frobenius manifolds. II. Loop equations
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0160125
Abstract: A theorem of Dubrovin establishes the relationship between the GUE (Gaussian unitary ensemble) partition function and the partition function of Gromov–Witten invariants of the complex projective line. Based on this theorem we derive loop equations… read more here.
Keywords: unitary ensemble; partition; partition function; loop equations ... See more keywords