### Conveners

#### Parallel Stream 3: Quiver

- Richie Dadhley

#### Parallel Stream 3: Branes

- Saghar Sophie Hosseini (Durham University)

#### Parallel Stream 3: Black Holes

- Richie Dadhley

#### Parallel Stream 3: Feynman Integrals/Black Holes

- Gabriel Arenas-Henriquez (Durham University)

#### Parallel Stream 3: Bootstraps

- Connor Armstrong (Durham University)

#### Parallel Stream 3: Strings

- Saghar Sophie Hosseini (Durham University)

This talk is aimed at those who may be unfamiliar with many concepts that appear in the title. To this end, the topic will be broken down thoroughly, and along the way some basic concepts will be reviewed. It hopes to give an understandable and simple introduction into the rich field of supersymmetric quiver gauge theories. The ideas of gauge theories and group theory will be briefly...

I will discuss families of 3d N=4 quiver gauge theories with unitary, orthogonal and symplectic gauge nodes that factorise into pairs of decoupled sectors. Each decoupled sector corresponds to a quiver gauge theory comprised solely of unitary nodes. I will then discuss the motivation behind this conjecture as well as the currently available evidence/tests.

Higher gauge theory is an extension of gauge theory in which one adds higher degree forms to generalize the concept of connection. This nascent field has been plagued by a lack of concrete non-trivial examples relevant to physics. In this talk we review the recent progress in constructing a model for a (1,0) superconformal field theory in 6 dimensions containing a non-abelian tensor multiplet...

We consider the Plebanski-Demianski family of solutions of minimal gauged supergravity in d=4, which describes an accelerating, rotating and charged black-hole in AdS4. The 4d metric has conical singularities, but we show that it can uplifted to a completely regular solution of d=11 supergravity. We focus on the supersymmetric and extremal case, where the near-horizon geometry is AdS2 x...

The classification of equilibrium black hole solutions is a fundamental problem in General Relativity. In four spacetime dimensions this is essentially answered by the black hole uniqueness theorem, which roughly states that the only asymptotically flat, stationary black hole solution to the vacuum Einstein equations is the Kerr solution. In higher-dimensional spacetimes, there is no such...

In this talk, I hope to discuss various physical obstructions to Penrose's proposal of smooth conformal compactification of spacetime (a.k.a. smooth null infinity or asymptotic simplicity) and the "peeling property" implied by it.

More precisely, I will show that in the context of the $N$-body problem of GR, one should expect that the asymptotic expansions of the Weyl tensor near...

The Kerr black hole in gravity, and its single copy $\sqrt{\rm Kerr}$ in gauge theory, are very special spinning objects. Both are intimately connected to on-shell scattering amplitudes for particles with spin. In this talk I will show how insights from such amplitudes can lead to new, complex perspectives on the classical dynamics of these solutions.

The diagrammatic coaction is a conjectural statement regarding the algebraic and analytic structure of Feynman integrals. The beauty of the coaction on Feynman diagrams is that its form can be formulated through simple diagrammatic rules, based on "cutting" and "contracting" subsets of propagators, without any reference to the particular functions that the integrals evaluate to. However, in...

In the past the bootstrap program has been able to find analytical results for the S-matrix of a variety of (1+1)-dimensional integrable models. Its connection to standard Feynman diagrams computations is however still unclear, in particular the underlying mechanism responsible for the cancellation of all non-elastic processes. In the talk I will show how bootstrap relations connecting...

Poincare invariance is a well-tested symmetry of nature and sits at the core of our description of relativistic particles and gravity. However, in cosmology the ground state breaks invariance under Lorentz boosts, which motivated us to study scattering amplitudes without requiring this symmetry. In particular, using on-shell methods and assuming massless, relativistic and luminal particles of...

We investigate whether Swampland constraints on the low-energy dynamics of weakly coupled string vacua in AdS can be related to inconsistencies of their putative holographic duals or, more generally, recast in terms of CFT data. In the first part of the talk, we shall illustrate how various swampland consistency constraints are equivalent to a negativity condition on the sign of certain mixed...

In flat space, the color/kinematics duality states that perturbative Yang-Mills amplitudes can be written in such a way that kinematic numerators obey the same Jacobi relations as their color factors. This property leads to the BCJ relations between Yang-Mills amplitudes and underlies the double copy to gravitational amplitudes.

In this talk, I will explore how this extends to AdS$_4$, where...