nLab Vincent Vargas

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Selected writings

On the rigorous construction of Liouville theory:

• François David, Antti Kupiainen, Rémi Rhodes, Vincent Vargas, Liouville Quantum Gravity on the Riemann sphere, Communications in Mathematical Physics volume 342, pages869–907 (2016) (arxiv:1410.7318)

• Colin Guillarmou, Rémi Rhodes, Vincent Vargas, Polyakov’s formulation of 2d bosonic string theory, Publ. Math. IHES 130 (2019) 111–185 [arXiv:1607.08467, doi:10.1007/s10240-019-00109-6]

• Antti Kupiainen, Rémi Rhodes, Vincent Vargas, Integrability of Liouville theory: proof of the DOZZ Formula, Annals of Mathematics, Pages 81-166 from Volume 191 (2020), Issue 1, (arxiv:1707.08785, doi:10.4007/annals.2020.191.1.2)

• Antti Kupiainen, Rémi Rhodes, Vincent Vargas, The DOZZ formula from the path integral, Journal of High Energy Physics volume 2018, Article number: 94 (2018) (arXiv:1803.05418 doi:10.1007/JHEP05(2018)094)

review:

• Vincent Vargas, Lecture notes on Liouville theory and the DOZZ formula (arXiv:1712.00829)

and via the conformal bootstrap:

• Colin Guillarmou, Antti Kupiainen, Rémi Rhodes, Vincent Vargas, Conformal bootstrap in Liouville Theory (arxiv:2005.11530)

and as a functorial field theory following Segal 1988:

• Colin Guillarmou, Antti Kupiainen, Rémi Rhodes, Vincent Vargas, Segal’s axioms and bootstrap for Liouville Theory [arXiv:2112.14859]

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