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math-ph2026
Universality of the conformal anomaly
Sid Maibach, Eveliina Peltola
We prove a universal property of local real one-dimensional modular functors, which may be thought of as central extensions of the sewing operation on the (infinite-dimensional) Se…
math-ph2026
Complex deformations of the circle: Group cohomology and Virasoro uniformization
Sid Maibach, Eveliina Peltola
We approach the question of complexification of the diffeomorphism group of the circle by considering real-analytic maps from the circle into the punctured complex plane with windi…
math-ph2025
From the Conformal Anomaly to the Virasoro Algebra
Sid Maibach, Eveliina Peltola
The conformal anomaly and the Virasoro algebra are fundamental aspects of 2D conformal field theory and conformally covariant models in planar random geometry. In this article, we…