Conveners
Parallel Session Wednesday: Strings / Mathematicals Physics III
- Anne Spiering (Trinity College Dublin)
Since the early days of the AdS/CFT correspondence, integrability has proven to be a powerful tool for the study of the spectral problem in both sides of the duality. A well-known example of this was given ten years ago by a Thermodynamic Bethe Ansatz (TBA) computation of the cusp anomalous dimension of ${\cal N}$=4 super Yang-Mills. This result naturally posed the question of whether similar...
4D $\mathcal{N}=2$ SCFTs obtained from orbifolding $\mathcal{N}=4$ SYM and then performing a marginal deformation exhibit hidden symmetries. Namely, the orbifolding procedure breaks some actions of the generators coming from the parent $\mathcal{N}=4$ SYM. However, by employing a non-trivial co-product, the actions of the broken generators can be ``restored'' as generators of a hidden...
Integrability has played a huge role in understanding string theory in AdS$_5 \times$S$^5$. This has motivated people to explore if integrability techniques can be applied to more general backgrounds. One of these cases is the non-relativistic limit of AdS$_5 \times$S$^5$. In this talk, I will report on recent progress in understanding classical integrable structures present in...
Applying the Yang-Baxter (YB) deformations to the famously integrable $AdS_5\times S^5$ string give rise to a variety of new integrable models. In the context of the AdS/CFT correspondence, these models are conjectured to be dual to gauge theories on various noncommutative spacetimes obtained via Drinfel’d twists. To date, however, it was unclear how to formulate such noncommutative gauge...
The study of spin chains which capture the spectral problem of N=2 SCFTs in the planar limit can shed light on the integrability of 4d gauge theories with less supersymmetry. I investigate the SU(2) subsector of an orbifold daughter of N=4 SYM by using coordinate Bethe Ansatz method. Exact results of the coordinate Bethe ansatz hints an underlying structure such that S-matrix coefficients...