Venue: 72 MS 03 (Rik Medlik building)

 MONDAY 3 JULY Lectures TUESDAY 4 JULY Talks 9:30 – 10:00 Registration 10:00 – 11:00 X. de la Ossa N. Dorey 11:00 – 12:00 D. Martelli 12:00 – 13:30 Lunch Lunch 13:30 – 14:30 D. Martelli X. de la Ossa 14:30 – 15:30 Gong show 15:30 – 16:00 Coffee break Coffee break 16:00 – 17:00 N. Dorey C. Matte Gregory 17:00 – 18:00 M. Caldarelli 19:30 Conference dinner

### Lectures

Nick Dorey
Superconformal quantum mechanics and integrability

Dario Martelli
Supergravity tools for holography

Xenia de la Ossa
Moduli spaces of heterotic compactifications

### Talks

Marco Caldarelli
Towards a general formulation of the AdS/RF correspondence

“The AdS/Ricci-flat correspondence links families of asymptotically AdS spacetimes to families of asymptotically flat spacetimes. In its original formulation, this map requires a high degree of symmetry, limiting its possible applications. I will show how to relax these restrictions for linearized perturbations around solutions connected via the original AdS/RF correspondence. This should allow us to develop a detailed holographic dictionary for asymptotically flat spacetimes.”

Nick Dorey
A matrix model for WZW

Dario Martelli
F-theory and $AdS_3/CFT_2$

“I will discuss supersymmetric $AdS_3$ solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d $\mathcal{N}=(0,4)$ superconformal field theories with small superconformal algebra. The aim of this work is to set up holography in the context of F-theory, which are traditionally two distinct areas of string theory. The talk will be based on the arXiv paper 1705.04679.”

Carolina Matte Gregory
Supergravity duals to five-dimensional supersymmetric gauge theories

“We start from field theories defined on squashed five-spheres with $SU(3) \times U(1)$ symmetry. The gravity duals are constructed in Euclidean Romans $F(4)$ gauged supergravity in six dimensions. We compute the renormalized on-shell actions for the solutions. The results agree perfectly with the large $N$ limit of the dual gauge theory partition function, which we compute using large $N$ matrix model techniques. We  conjecture a general formula for the partition function on any five-sphere background, which for fixed gauge theory depends only on a certain supersymmetric Killing vector. We then proceed to study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an $SU(2)$ structure. We then see applications for these results.”

Xenia de la Ossa
The moduli space of heterotic $G_2$ systems

“A heterotic $G_2$ system is a quadrupole $([Y,\varphi], [V, A], [TY,\theta], H)$ where $Y$ is a seven dimensional manifold with an integrable $G_2$ structure $\varphi$, $V$ is a bundle on $Y$ with an instanton connection $A$, $TY$ is the tangent bundle with an instanton connection $\theta$ and $H$ is a three form on $Y$ determined uniquely by the $G_2$ structure on $Y$. Further, $H$ is constrained so that it satisfies a condition that involves the Chern-Simons forms of $A$ and $\theta$, thus mixing the geometry of $Y$ with that of the bundles (this is  the so called anomaly cancellation condition).  In this talk I will describe the tangent space of the moduli space of these systems. We first prove that a heterotic system is equivalent to an exterior covariant derivative $\cal D$ on the bundle ${\cal Q} = T^*Y\oplus {\rm End}(V)\oplus {\rm End}(TY)$ which satisfies $\check{\cal D}^2 = 0$ for some appropriately defined projection of the operator $\cal D$.  Remarkably, this equivalence implies the (Bianchi identity of) the anomaly cancellation condition. We show that the infinitesimal moduli space is given by the cohomology group $H^1_{\check{\cal D}}(Y, {\cal Q})$ and therefore it is finite dimensional.   Our analysis leads to results that are of relevance to all orders in $\alpha^\prime$.  Time permitting, I will comment on work in progress about the finite deformations of heterotic $G_2$ systems and the relation to differential graded Lie algebras.”