Fabio Apruzzi — “ Higher Form Symmetries TFTs”
Abstract: Symmetry topological field theories (TFTs) encode the symmetry and anomalies data of a d-dimensional QFT in a (d+1)-dimensional topological action. I will present two methods to obtain the higher form symmetries TFTs for 5 and 6-dimensional superconformal field theories (SCFTs). The first one is a IR method relying on the Coulomb and tensor branch low-energy descriptions respectively. The second one, which can be considered as UV approach, consists of deriving the symmetry TFTs by looking at ‘near-horizon’ like limits of the brane configurations that engineer the studied SCFTs. In explicit example, I will then describe what are the properties of the SCFTs that can be extracted from these symmetry TFTs.
Ibrahima Bah — “ Geometry of Decoupling Fields”
Marieke van Beest — “Holography, 1-Form Symmetries, and IR Physics of QFTs”
Abstract: I will discuss higher-form symmetries and ‘t Hooft anomalies in the context of holography, and derive implications for the IR physics of the dual QFT. An interesting case is holography in a non-conformal setting, where the existence of a 1-form symmetry can have implications for confinement. I will focus on 4d N=1 SU(N) SYM, realized holographically by the Klebanov-Strassler solution, and identify the 1-form symmetry and a mixed 0-/1-form symmetry anomaly, which is closely related to chiral symmetry breaking. Moreover, from the dual gravity description I will identify the IR 4d topological field theory, which matches the mixed anomaly. Finally, building on these methods, I will discuss some work in progress on 3d SCFTs from M-theory, with a particular focus on effects of torsion, which give rise to new background gauge fields for discrete symmetries.
Federico Bonetti — “Symmetry TFTs and geometric engineering”
Abstract: The global symmetries of a d-dimensional quantum field theory (QFT), and their ’t Hooft anomalies, are conveniently captured by a topological field theory (TFT) in (d+1) dimensions, which we may refer to as the Symmetry TFT of the given d-dimensional QFT. This point of view has a vast range of applicability: it encompasses both ordinary symmetries, as well as generalized symmetries, and also accounts for global structures. The notion of Symmetry TFT is particularly interesting in the context of QFTs realized in string theory. A natural question in this framework is: can we systematically extract the Symmetry TFT from the data that define the string setup? In this talk, I’ll illustrate concrete realizations of this program via examples in geometric engineering.
Matthew Buican — “Galois Actions and Symmetries in TQFT”
Christopher Herzog — “Conformal Surface Defects in Maxwell Theory are Trivial”
Christian Jepsen — “Generalized Free Maxwell Theory”
Hee-Cheol Kim — “Folding 5d SCFTs”
Neil Lambert — “Building a Better DLCQ”
Absract: We discuss interacting five-dimensional gauge theories with an OSp(6|4) symmetry group – same as ABJM – but with the role of spacetime and R-symmetries interchanged. These are obtained by a conformal compactification of six-dimensional SCFT’s and admit towers of Omega-deformed instantons that reproduce the KK spectrum. The SU(1,3) spacetime symmetry places interesting constraints on the correlation functions which can be used to reconstruct the six-dimensional correlators. In the limit that the Omega-deformation is turned off one recovers the standard DLCQ construction and associated Schrodinger Symmetry.
Elli Pomoni — “4d N=2 Dynamics: Dynamical spin chains and quantum groups”
Avia Raviv Moshe — “Line Defects in CFTs: RG flows and Applications”
Christoph Uhlemann — “From 4d BCFTs to Page curves in Type IIB”
Irene Valenzuela — “The absence of global symmetries”