A construction of vertex algebra bundles on logarithmic smooth curves
Quantum Algebra
2026-03-13 v2
Abstract
We present a construction of vertex algebra bundles and spaces of conformal blocks over families of logarithmic smooth curves. This work generalizes some earlier results by Frenkel and Ben-Zvi on vertex algebra bundles over complex smooth algebraic curves. We establish a weaker version of the propagation of vacua, and compute the space of conformal blocks over a typical example of a nodal curve.
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Cite
@article{arxiv.2502.03175,
title = {A construction of vertex algebra bundles on logarithmic smooth curves},
author = {Xi-Chuan Tan},
journal= {arXiv preprint arXiv:2502.03175},
year = {2026}
}
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31 pages