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A Basis of Analytic Functionals for CFTs in General Dimension
Dalimil Mazac, Leonardo Rastelli, Xinan Zhou
We develop an analytic approach to the four-point crossing equation in CFT, for general spacetime dimension. In a unitary CFT, the crossing equation (for, say, the s- and t-channel…
VOAs and rank-two instanton SCFTs
Christopher Beem, Carlo Meneghelli, Wolfger Peelaers +1
We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. W…
Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
Leonardo Rastelli, Konstantinos Roumpedakis, Xinan Zhou
We revisit the calculation of holographic correlators in . We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a…
Sphere Packing and Quantum Gravity
Thomas Hartman, Dalimil Mazáč, Leonardo Rastelli
We establish a precise relation between the modular bootstrap, used to constrain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstra…
Free Field Realizations from the Higgs Branch
Christopher Beem, Carlo Meneghelli, Leonardo Rastelli
We present free field realizations for the associated vertex operator algebras of a number of four-dimensional superconformal field theories. Our constructions util…