We develop in this paper the principles of an associative algebraic approach to bulk logarithmic conformal field theories (LCFTs). We concentrate on the closed ${\mathfrak{gl}(1|1)}$ spin-chain and its continuum limit—the ${c=-2}$ symplectic fermions theory—and rely on two technical companion papers, Gainutdinov et al. (Nucl Phys B 871:245–288, 201...
Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, S U ( 2 ) current algebra an...
We give a microscopic two dimensional $ \mathcal{N} $ = (2, 2) gauge theory description of arbitrary M2-branes ending on N$_{f}$ M5-branes wrapping a punctured Riemann surface. These realize surface operators in four dimensional $ \mathcal{N} $ = 2 field theories. We show that the expectation value of these surface operators on the sphere is captur...
We propose a manifestly covariant formulation of the differential Noether charge for higher-dimensional Chern–Simons terms. With our differential Noether charge, we provide a covariant proof of the black hole entropy formula for gravitational and mixed U(1)-gravitational Chern–Simons terms. By evaluating the charge on the rotating charged AdS black...
We present arguments which suggest that the bulk higher-spin gravity duals of weakly-coupled conformal field theories obey some refined notion of locality. In particular, we discuss the Mellin amplitude programme in this context. We focus on the O(N) vector model and minimal higher-spin gravity as a paradigmatic example of such holographic dual pai...
The extremal functional method determines approximate solutions to the constraints of crossing symmetry, which saturate bounds on the space of unitary CFTs. We show that such solutions are characterized by extremality conditions, which may be used to flow continuously along the boundaries of parameter space. Along the flow there is generically no f...
We consider a general class of asymptotically locally AdS5 solutions of minimal gauged supergravity, which are dual to superconformal field theories on curved backgrounds S1×M3 preserving two supercharges. We demonstrate that standard holographic renormalization corresponds to a scheme that breaks supersymmetry. We propose new boundary terms that r...
Motivated by the absence of signals of new physics at the LHC, which seems to imply the presence of large mass hierarchies, we investigate the theoretical possibility that these could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. To this purpose, we study lattice data on non-Abelian gauge...
We define elliptic generalization of W-algebras associated with arbitrary quiver using our construction (Kimura and Pestun in Quiver W-algebras, 2015. arXiv:1512.08533 [hep-th]) with six-dimensional gauge theory.
In recent literature, one-loop tests of the higher-spin AdS d + 1 /CFT d correspondences were carried out. Here, we extend these results to a more general set of theories in d > 2 . First, we consider the Type B higher spin theories, which have been conjectured to be dual to CFTs consisting of the singlet sector of N free fermion fields. In additio...
