The spectrum of defect ABJM theory

• Charlotte Kristjansen (Niels Bohr Institute)

Room: Auditorium 5 We determine the spectrum of quantum fluctuations in a 1/2​-BPS domain wall version of ABJM theory, thereby enabling the perturbative exploration of the corresponding defect CFT.

Integrable Regge Trajectories of N=4 SYM

• Simon Ekhammar (King's College London)

Room: Auditorium 5

Integrated correlators and epsilon expansion

• Alessandro Georgoudis (Queen Mary University of London)

Room: Auditorium 5 In this talk, I will review Joe's work on localization in generic dimensions, with a focus on theories preserving 16 supercharges. Building on this, I will consider the theory in 4-2 epsilon dimensions and show that, at leading order in epsilon, the epsilon expansion of the two-point function in flat space can be obtained directly from localization. If time permits, I will also discuss an intriguing connection to the computation of integrated correlators in N=4 SYM.

From superconformal indices to elliptic integrable systems and back.

• Anton Nedelin (King's College London)

Room: Auditorium 5 In this talk, I will present a systematic construction of elliptic integrable systems from the superconformal indices of 4d N=1 gauge theories, and show how this viewpoint can help us in understanding these theories. After outlining the general procedure, I will recover the Ruijsenaars-Schneider and van Diejen models and introduce several new integrable systems that naturally emerge in this framework. I will then discuss spectral properties guided by insights from the associated gauge theories. I will conclude with a detailed look at a recently proposed family of models on the A2 ​and A3​ root systems, highlighting their structure and open questions.

Quantum superstrings and supermembranes and AdS/CFT

• Arkady Tseytlin (Imperial College London)

Room: Auditorium 5 I will first review some results on semi-classical quantization of M2 branes in AdS4 x S7/Zk in their relation to dual ABGM theory and then discuss recent work on computing 2-loop corrections to world-volume S-matrix in flat-space superstring and supermembrane theory.

Dimensional Transmutation and Confinement in Various Models

• Igor Klebanov (Princeton U.)

Room: Auditorium 5 In 1999, Joe Minahan did very interesting work aimed at finding QCD-like physics from gauge/gravity duality, i.e. deriving the asymptotic freedom and confinement. Somewhat later, the warped deformed conifold background was found, and it incorporates confinement and dimensional transmutation. The corresponding gauge theory is not asymptotically free, but it exhibits logarithmic running in the UV. I will then switch to 1+1 dimensions and show that the two-flavor Schwinger model with the theta-angle equal to pi has QCD-like features as well. In the regime where the fermion mass is much smaller than the gauge coupling, the mass gap becomes exponentially small due to the dimensional transmutation.

BPS mass renormalization in pseudo-anomalous heterotic string

• Jeffrey Harvey (Chicago U.)

Room: Auditorium 5 I will discuss a one-loop string computation that shows that masses of BPS strings in four-dimensional heterotic string compactifications receive non-zero corrections when the spectrum of the theory contains a U(1) factor with a non-vanishing anomaly from the massless fermion spectrum.

Matrix models for protected correlators in N=4 SYM and LLM geometry

• Vladimir Kazakov (ENS)

Room: Auditorium 5 I present complex matrix models for studying general protected correlators of various 1/2-BPS operators in N=4 SYM. The 2-point correlators—character, exponential, and coherent state types—naturally relate to Lin-Lunin-Maldacena geometry. This framework enables explicit computation of correlators involving two or three “huge” operators (dimension ∼N^2), as well as combinations of two huge and one “giant” operator (dimension ∼N). We also compute 3-point correlators of two huge operators with a class of small operators (dimension ∼1), finding exact gauge/gravity correspondence with Skenderis-Taylor results. Finally, we uncover a curious link between 1/4- and 1/8-BPS operators and Eguchi-Kawai reductions of the principal chiral sigma model.