We prove that for any tau-symmetric bihamiltonian deformation of the tau-cover Principal Hierarchy associated with a semisimple Frobenius manifold, deformed admits an infinite set Virasoro symmetries.

We prove that in any unitary CFT, a twist gap the spectrum of operator product expansion (OPE) identical scalar primary operators (i.e. $\phi\times \phi$) implies existence family $\mathcal{O}_{\tau, \ell}$ with spins $\ell \rightarrow \infty$ and twists $\tau 2 \Delta_{\phi}$ same OPE spectrum. A similar twist-accumulation result is proven for two-dimensional Virasoro-invariant, modular-invari...

Let ${\mathcal S}^{{\rm lin}}: = \{a(t)(-2i \partial_t-\partial_r^2)+V(t, r)\vert a\in C^{\infty}({\mathbb R}/2\pi{\mathbb Z}), V\in Z}\times{\mathbb R})\}$ be the space of Schrodinger operators in (1 + 1)-dimensions with periodic time-dependent potential. The action on lin}}$ a large infinite-dimensional reparametrization group SV Lie algebra 𝔰𝔳[8, 10], called Schrodinger–Viras...

In [EHX2], Eguchi, Hori and Xiong, proposed a conjecture that the partition function of topological sigma model coupled to gravity is annihilated by infinitely many differential operators which form half branch of the Virasoro algebra. A similar conjecture was also proposed by S. Katz [Ka] (See also [EJX]). Assuming this conjecture is true, they were able to reproduce certain instanton numbers ...