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The genus two free boson in Arakelov geometry

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Publication:823017
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DOI10.1016/j.nuclphysb.2020.115184zbMath1472.81228arXiv1902.02420OpenAlexW2914541981MaRDI QIDQ823017

Thomas Vandermeulen

Publication date: 24 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02420


Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Holomorphic modular forms of integral weight (11F11) Bosonic systems in quantum theory (81V73)




Cites Work

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  • Conformal field theory
  • Calculus on arithmetic surfaces
  • On genus two Riemann surfaces formed from sewn tori
  • Functional determinants on Mandelstam diagrams
  • On determinants of Laplacians on Riemann surfaces
  • Two-loop superstrings. IV: The cosmological constant and modular forms
  • A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
  • The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
  • Theta functions on Riemann surfaces
  • New explicit formulas for Faltings' delta-invariant
  • Bootstrapping chiral CFTs at genus two
  • INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
  • On Siegel Modular Forms of Genus Two
  • Introduction to Compact Riemann Surfaces
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