The monster sporadic group is the automorphism of a central charge \(c=24\) vertex operator algebra (VOA) or meromorphic conformal field theory (CFT). In addition to its stress tensor T(z), this contains many other vectors smaller charge; for example, it admits 48 commuting \(c=\frac{1}{2}\) whose sum T(z). Such decompositions allow one construct new CFTs from CFT in manner analogous Goddard-Ke...

The novel paradigm of universal conformal symmetry has been found to explain accelerating Hubble expansion, centripetal lensing by dark galactic halos, and observed excessive rotational velocities, without matter.

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry ZN , for N odd. New fixed points are found and classified. ∗ Unité Mixte de Recherche UMR 7589 Parafermionic conformal field theories describe systems enjoying conformal symmetry and a cyclic symm...

We investigate 1/2 BPS conformal surface operators in the Klebanov-Witten theory. These surface operators preserve certain parts of the conformal symmetry and R-symmetry as well as half of the supersymmetry. We propose the gravity dual of the surface operator as a configuration of a D3-brane in AdS5 × T 1,1. This D3brane preserves the same amount of the supersymmetry as the surface operator. We...

We investigate boundary multifractality of critical wave functions at the Anderson metal-insulator transition in twodimensional disordered non-interacting electron systems with spin-orbit scattering. We show numerically that multifractal exponents at a corner with an opening angle θ = 3π/2 are directly related to those near a straight boundary in the way dictated by conformal symmetry. This res...

A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors is proved, which gives the second derivative of the tensor in terms of the curvature tensor, generalizing a well-known identity for affine vectors. Additionally, the definition ...

The relation between the scale and conformal symmetries in the presence of supersymmetry is studied and new supersymmetric twistors dual to the supertwistors are constructed. The dual twistor, called the θ-twistor, includes the composite Ramond vector [11] well known from the spinning string/particle dynamics. It is shown that the spin structure introduced by θ-twistor breaks superconformal sym...