Dubail, J.

In one dimension, the area law and its implications for the approximability by matrix product states are the key to efficient numerical simulations involving quantum states. Similarly, in simulations involving quantum operators, the approximability by matrix product operators (in Hilbert–Schmidt norm) is tied to an operator area law, namely the fac...

Behan, Connor Rastelli, Leonardo Rychkov, Slava Zan, Bernardo

We study the second-order phase transition in the d-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$ . For s below some known value $s_*$ , the transition is described by a conformal field theory without a local stress tensor operator, with critical exponents varying continuously as functions of...

Dubail, J.

In one dimension, the area law and its implications for the approximability by matrix product states are the key to efficient numerical simulations involving quantum states. Similarly, in simulations involving quantum operators, the approximability by matrix product operators (in Hilbert–Schmidt norm) is tied to an operator area law, namely the fac...

Fateev, V.A.

We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for different integrable perturbed conformal field theories. The perturbation theory, Bethe ansatz technique, reno...

Kiritsis, Elias Nitti, Francesco Silva Pimenta, Leandro

Holographic RG flows are studied in an Einstein-dilaton theory with a general potential. The superpotential formalism is utilized in order to characterize and classify all solutions that are associated with asymptotically AdS space-times. Such solutions correspond to holographic RG flows and are characterized by their holographic β-functions. Novel...

Nian, Jun Zhang, Xinyu

In this paper we discuss the supersymmetric localization of the 4D $ \mathcal{N} $ = 2 offshell gauged supergravity on the background of the AdS$_{4}$ neutral topological black hole, which is the gravity dual of the ABJM theory defined on the boundary $ {\mathrm{S}}^1\times {\mathrm{\mathbb{H}}}^2 $ . We compute the large-N expansion of the supergr...

Kiritsis, Elias Nitti, Francesco Silva Pimenta, Leandro

Holographic RG flows are studied in an Einstein-dilaton theory with a general potential. The superpotential formalism is utilized in order to characterize and classify all solutions that are associated with asymptotically AdS space-times. Such solutions correspond to holographic RG flows and are characterized by their holographic β-functions. Novel...

Jokela, Niko Jarvinen, Matti Lippert, Matthew

Holographic models provide unique laboratories to investigate nonlinear physics of transport in inhomogeneous systems. We provide a detailed account of both dc and ac conductivities in a defect conformal field theory with spontaneous stripe order. The spatial symmetry is broken at large chemical potential, and the resulting ground state is a combin...

Bae, Jin-Beom Joung, Euihun Lal, Shailesh

We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the S U ( N ) adjoint representation to other matrix models, namely the free S O ( N ) and S p ( N ) adjoint models as well as the free U ( N ) × U ( M ) bi-fundamental and O ( N ) × O ( M ) bi-vector models. After determining ...

Faraji Astaneh, Amin Solodukhin, Sergey N.

In the presence of boundaries the integrated conformal anomaly is modified by the boundary terms so that the anomaly is non-vanishing in any (even or odd) dimension. The boundary terms are due to extrinsic curvature whose exact structure in d=3 and d=4 has recently been identified. In this note we present a holographic calculation of those terms in...