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Topological Two-Dimensional Gravity on Surfaces with Boundary

High Energy Physics - Theory 2023-02-01 v1

Abstract

We solve two-dimensional gravity on surfaces with boundary in terms of contact interactions and surface degenerations. The known solution of the bulk theory in terms of a contact algebra is generalized to include boundaries and an enlarged set of boundary operators. The latter allow for a linearization of the Virasoro constraints in terms of an extended integrable KdV hierarchy.

Keywords

Cite

@article{arxiv.2301.01008,
  title  = {Topological Two-Dimensional Gravity on Surfaces with Boundary},
  author = {Jan Troost},
  journal= {arXiv preprint arXiv:2301.01008},
  year   = {2023}
}

Comments

16 pages

R2 v1 2026-06-28T08:00:35.264Z