Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The Heisenberg-Virasoro Lie conformal superalgebra (2009.06853v4)

Published 15 Sep 2020 in math.RT

Abstract: In this paper, we introduce a finite Lie conformal superalgebra called the Heisenberg-Virasoro Lie conformal superalgebra $\mathfrak{s}$ by using a class of Heisenberg-Virasoro Lie conformal modules. The super Heisenberg-Virasoro algebra of Ramond type $\S$ is defined by the formal distribution Lie superalgebra of $\mathfrak{s}$. Then we construct a class of simple $\S$-modules, which are induced from simple modules of some finite dimensional solvable Lie superalgebras. These modules are isomorphic to simple restricted $\S$-modules, and include the highest weight modules, Whittaker modules and high order Whittaker modules. As a byproduct, we present a subalgebra of $\S$, which is isomorphic to the super Heisenberg-Virasoro algebra of Neveu-Schwarz type.

Citations (3)

Summary

We haven't generated a summary for this paper yet.