Virasoro blocks and quasimodular forms

Author:

Das Diptarka,Datta Shouvik,Raman Madhusudhan

Abstract

Abstract We analyse Virasoro blocks in the regime of heavy intermediate exchange (hp→ ∞). For the 1-point block on the torus and the 4-point block on the sphere, we show that each order in the large-hp expansion can be written in closed form as polynomials in the Eisenstein series. The appearance of this structure is explained using the fusion kernel and, more markedly, by invoking the modular anomaly equations via the 2d/4d correspondence. The existence of these constraints allows us to develop a faster algorithm to recursively construct the blocks in this regime. We then apply our results to find corrections to averaged heavy-heavy-light OPE coefficients.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Toward null-state equations in d > 2;Journal of High Energy Physics;2023-11-28

2. Effective gravitational couplings of Kaluza-Klein gauge theories;Journal of High Energy Physics;2023-09-20

3. Modular linear differential equations for four-point sphere conformal blocks;Journal of High Energy Physics;2023-02-15

4. Four-point correlation modular bootstrap for OPE densities;Journal of High Energy Physics;2021-10

5. Universality in asymptotic bounds and its saturation in 2D CFT;Journal of High Energy Physics;2021-04

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