In the framework of the Witten-Sakai-Sugimoto holographic model of QCD, we describe our progresses in the derivation of a quantitative prediction for the $\theta$-induced electric dipole moment of the nucleons and their deuteron bound state, discussing current limitations and future directions. Then, introducing explicit isospin breaking in the form of different quark masses, we also...

We consider interacting conformal boundary conditions for bulk theories of free fields. For a free vector field in 4 bulk dimensions there is a rich class of such boundary conditions, coming in families which are connected by a bulk marginal deformation, and with an interesting action of bulk electric-magnetic duality. For the bulk theory of a free scalar in generic dimensions it is not known...

I will introduce Einstein manifolds with torsion and nonmetricity and present new applications in the context of (super)gravity theories, focusing, in particular, on models in three dimensions.

Based on Nielsen’s geometric approach, the variation of holographic complexity for two nearby target states only depends on the end point of the optimal trajectory, a result designated as the first law of complexity. As an example, we will examine the complexity=action conjecture when the AdS vacuum is perturbed by a scalar field excitation, which corresponds to a coherent state.

I will talk about different aspects of inflationry models that can arise from 4D effective theories coming from type IIB String Theory. In particular I'll focus on concrete embeddings of fibre and Kähler moduli inflation.

I will discuss the problem of duality-symmetric descriptions for free fields

with the main focus on the covariant Lagrangian formulation generalising

that of Pasti, Sorokin and Tonin for duality-symmetric descriptions in d=4k,

as well as self-dual fields in d=4k+2 Minkowski spaces.

We discuss the computation of the radiated energy by an accelerated heavy particle. This quantity is captured by the one-point function of the stress energy tensor in presence of a Wilson line. In a N=2 superconformal theory we prove that this observable is exactly related to a small geometric deformation of the background geometry. In a four dimensional case, supersymmetric localization...

We study the effective SUSY theory of a surface defect describing the parabolic reduction of gauge connections at punctures on Riemann surfaces, which gives rise to a quiver GLSM. We will show how the partition function of such a theory naturally computes certain virtual invariants of the moduli spaces of stable representations of the quiver and how these results relate to a conjecture of...

We consider the third order differential equation derived from the deformed Seiberg-Witten differential for pure ${\cal N}=2$ SYM with gauge group $SU(3)$ in Nekrasov-Shatashvili limit of $\Omega$-background. We show that this is the same differential equation that emerges in the context of Ordinary Differential Equation/Integrable Models (ODE/IM) correspondence for $2d$ $A_2$ Toda CFT with...

We consider circular Wilson loops in a defect version of N=4 super-Yang-Mills theory

which is dual to the D5-D3 brane system. When the loops are parallel to the defect, we

can construct both BPS and non-BPS operators. At strong 't Hooft coupling we observe,

in the non-BPS case, a Gross-Ooguri-like phase transition in the dual gravitational theory:

the familiar disk solution dominates when the...

Seiberg duality is an infrared equivalence of two 4d, N=1 gauge theories first proposed by Seiberg in 1994. More recently a triality relating 2d, (0,2) theories and a quadrality relating 0d, N=1 matrix models have been discovered, both of these can be viewed as generalizations of Seiberg duality to lower dimensions. We illustrate these dualities with the help of simple examples arising on...

Infra-red dualities are interesting phenomena that may characterize the low energy behaviour of quantum field theories. One challenging question is whether it is possible to find some organizing principle that allows us to derive the currently known dualities in low dimensions from some mother dualities in higher dimensions upon dimensional reduction. When the theory is supersymmetric, this...

The open closed superstring field theory is necessary to study the field theory of an interacting system of open and closed strings. Such systems arise naturally in the presence of D branes. We construct the 1PI effective action and the BV master action for the open closed superstring field theory and generalize the result to the case of unoriented strings.