Barbón, J.L. F. Rabinovici, E. Shir, R. Sinha, R.

We study operator complexity on various time scales with emphasis on those much larger than the scrambling period. We use, for systems with a large but finite number of degrees of freedom, the notion of K-complexity employed in arXiv:1812.08657 for infinite systems. We present evidence that K-complexity of ETH operators has indeed the character ass...

Guica, Monica Monten, Ruben

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter. The resulting dual gravitational theory has mixed boundary conditions for the non-dynamical graviton; the boundary conditions for matter fields are undeformed. When the ma...

Ikhlef, Yacine Shimada, Hirohiko

In generic conformal field theories with $W_3$ symmetry, we identify a primary field $\sigma$ with rational Kac indices, which produces the full $\mathbb{Z}_3$ charged and neutral sectors by the fusion processes $\sigma \times \sigma$ and $\sigma \times \sigma^*$, respectively. In this sense, this field generalises the $\mathbb{Z}_3$ fundamental sp...

Gawedzki, Krzysztof Kozlowski, Karol K.

Employing the conformal welding technique, we find an exact expression for the Full Counting Statistics of energy transfers in a class of inhomogeneous nonequilibrium states of a (1+1)-dimensional unitary Conformal Field Theory. The expression involves the Schwarzian action of a complex field obtained by solving a Riemann-Hilbert type problem relat...

Picco, Marco Ribault, Sylvain Santachiara, Raoul

We perform Monte-Carlo computations of four-point cluster connectivities in the critical 2d Potts model, for numbers of states $Q\in (0,4)$ that are not necessarily integer. We compare these connectivities to four-point functions in a CFT that interpolates between D-series minimal models. We find that 3 combinations of the 4 independent connectivit...

Bombini, Alessandro Galliani, Andrea

We compute four-point functions in the Heavy-Heavy-Light-Light limit involving all possible $\frac{1}{8}$-BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB supergravity on AdS$_3 \times S^3 \times {\cal M}_4$ that maps supersymme...

Kazakov, Vladimir Olivucci, Enrico Preti, Michelangelo

We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT\(_4\) proposed by O.~G\"urdogan and one of the authors as a double scaling limit of \(\gamma\)-deformed \(\mathcal{N}=4\) SYM theory. We give full description of bulk behavior of large Feynman graphs: it shows a generalized "dynamical fishn...

Bachas, Constantin

I compare two holographic mechanisms giving to the graviton a parametrically-small supersymmetric mass m$_{g}$ in Anti-de Sitter spacetime. In the context of bimetric gravity these mechanisms couple ‘weakly’ two initially decoupled superconformal theories by: (i) turning on a double-trace deformation, or (ii) gauging a common global symmetry. Super...

Granet, Etienne Lykke Jacobsen, Jesper Saleur, Hubert

Two-dimensional sigma models on superspheres $S^{r-1|2s} \cong OSp(r|2s)/OSp(r - 1|2s)$ are known to flow to weak coupling $g_{\sigma} \to 0$ in the IR when $r - 2s

Bachas, Constantin Lavdas, Ioannis Le Floch, Bruno

We study superconformal deformations of the $T_\rho^{\hat\rho}[SU(N)]$ theories of Gaiotto-Hanany-Witten, paying special attention to mixed-branch operators with both electrically- and magnetically-charged fields. We explain why all marginal ${\cal N}=2$ operators of an ${\cal N}=4$ CFT$_3$ can be extracted unambiguously from the superconformal ind...