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Local superconformal algebras
Fabian Hahner, Surya Raghavendran, Ingmar Saberi +1
Given a supermanifold equipped with an odd distribution of maximal dimension and constant symbol, we construct the formal moduli problem of deformations of the distribution. This m…
Twisted holography on AdS & the planar chiral algebra
VÃctor E. Fernández, Natalie M. Paquette, Brian R. Williams
In this work, we revisit and elaborate on twisted holography for AdS with , K3, with a particular focus on K3. We describe the twist of supergravity…
The local cohomology of vector fields
Brian R Williams
We compute the local cohomology of vector fields on a manifold. In the smooth case this recovers the diagonal cohomology studied in work of Losik, Guillemin, Fuks and others. In th…
A complex geometric perspective on a,c anomalies
Brian R Williams
In four-dimensional conformal field theory, the numbers a and c are defined as coefficients of particular terms in the operator product expansion (OPE) of the energy-momentum tenso…