Bootstrapping critical Ising model on three-dimensional real projective space

Yu Nakayama

doi:10.1103/physrevlett.116.141602

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arXiv · 1601.06851

Bootstrapping critical Ising model on three-dimensional real projective space

Yu Nakayama

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Abstract

Given a conformal data on a flat Euclidean space, we use crosscap conformal bootstrap equations to numerically solve the Lee-Yang model as well as the critical Ising model on a three-dimensional real projective space. We check the rapid convergence of our bootstrap program in two-dimensions from the exact solutions available. Based on the comparison, we estimate that our systematic error on the numerically solved one-point functions of the critical Ising model on a three-dimensional real projective space is less than one percent. Our method opens up a novel way to solve conformal field theories on non-trivial geometries.

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Yu Nakayama. 2016-04-19. Bootstrapping critical Ising model on three-dimensional real projective space. https://doi.org/10.1103/physrevlett.116.141602

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