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Form factors of branch-point twist fields in quantum integrable models and entanglement entropy (2008)
Journal Article
Cardy, J. L., Castro Alvaredo, O. C., & Doyon, B. (2008). Form factors of branch-point twist fields in quantum integrable models and entanglement entropy. Journal of Statistical Physics, 130(1), 129-168. https://doi.org/10.1007/s10955-007-9422-x

In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on the parti... Read More about Form factors of branch-point twist fields in quantum integrable models and entanglement entropy.

New method for studying steady states in quantum impurity problems: the interacting resonant level model (2007)
Journal Article
Doyon, B. (2007). New method for studying steady states in quantum impurity problems: the interacting resonant level model. Physical Review Letters, 99(7), https://doi.org/10.1103/physrevlett.99.076806

We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density matrix along w... Read More about New method for studying steady states in quantum impurity problems: the interacting resonant level model.

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.