no code implementations • 16 May 2017 • Minjae Cho, Scott Collier, Xi Yin
We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a Z3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore constraints from genus two modular invariance and unitarity.
High Energy Physics - Theory
no code implementations • 1 Feb 2017 • Scott Collier, Petr Kravchuk, Ying-Hsuan Lin, Xi Yin
We introduce spectral functions that capture the distribution of OPE coefficients and density of states in two-dimensional conformal field theories, and show that nontrivial upper and lower bounds on the spectral function can be obtained from semidefinite programming.
High Energy Physics - Theory
no code implementations • 22 Aug 2016 • Scott Collier, Ying-Hsuan Lin, Xi Yin
We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c > 1 using modular bootstrap.
High Energy Physics - Theory Strongly Correlated Electrons
