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Identification of the stress-energy tensor through conformal restriction in SLE and related processes (2006)
Journal Article
Doyon, B., Riva, V., & Cardy, J. (2006). Identification of the stress-energy tensor through conformal restriction in SLE and related processes. Communications in Mathematical Physics, 268(3), 687-716. https://doi.org/10.1007/s00220-006-0106-1

We derive the Ward identities of Conformal Field Theory (CFT) within the framework of Schramm-Loewner Evolution (SLE) and some related processes. This result, inspired by the observation that particular events of SLE have the correct physical spin an... Read More about Identification of the stress-energy tensor through conformal restriction in SLE and related processes.

Twisted vertex operators and Bernoulli polynomials (2006)
Journal Article
Doyon, B., Lepowsky, J., & Milas, A. (2006). Twisted vertex operators and Bernoulli polynomials. Communications in Contemporary Mathematics, 8(2), 247-307. https://doi.org/10.1142/s0219199706002118

Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting... Read More about Twisted vertex operators and Bernoulli polynomials.