Found 4 result(s)
Polygon Seminar Anatoly Dymarsky (U. Kentucky)
There is a deep relation between classical error-correcting codes, Euclidean lattices, and chiral 2d CFTs. We show this relation extends to include quantum codes, Lorentzian lattices, and non-chiral CFTs. The relation to quantum codes provides a simple way to solve modular bootstrap constraints and identify interesting examples of conformal theories. In particular we construct many examples of physically distinct isospectral theories, examples of "would-be" CFT partition function -- non-holomorphic functions satisfying all constraints of the modular bootstrap, yet not associated with any known CFT, and find theory with the maximal spectral gap among all Narain CFTs with the central charge c=4. At the level of code theories the problem of finding maximal spectral gap reduces to the problem of finding optimal code, leading to "baby bootstrap" program. We also discuss averaging over the ensemble of all CFTs associated with quantum codes, and its possible holographic interpretation. The talk is based on arXiv:2009.01236 and arXiv:2009.01244.
Regular Seminar Anatoly Dymarsky (DAMTP, Cambridge)
I will be discussing the relation between scale and conformal symmetry in unitary Lorentz invariant QFTs in four dimensions.
Regular Seminar Anatoly Dymarsky (DAMTP Cambridge)
I will discuss the ongoing effort to constrain the four-point function of conserved spin 1 and 2 currents tensors in a general conformal field theories in d>3 by applying the full set of the corresponding Ward identities.
Regular Seminar Anatoly Dymarsky (Princeton U.)