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We provide a new extension to the geometric construction of 6d (1, 0) SCFTs that encap sulates Higgs branch structures with identical global symmetry but different spectra. In particular, we find that there exist distinct 6d (1, 0) SCFTs that may appear to share their tensor branch description, flavor symmetry algebras, and central charges. For example, such subtleties arise for the very even nilpotent Higgsing of (so4k,so4k) conformal matter; we pro pose a method to predict at which conformal dimension the Higgs branch operators of the two theories differ via augmenting the tensor branch description with the Higgs branch chiral ring generators of the building block theories. Torus compactifications of these 6d (1, 0) SCFTs give rise to 4d N = 2 SCFTs of class S and the Higgs branch of such 4d theories are cap tured via the Hall–Littlewood index. We confirm that the resulting 4d theories indeed differ in their spectra in the predicted conformal dimension from their Hall–Littlewood indices. We highlight how this ambiguity in the tensor branch description arises beyond the very even nilpotent Higgsing of (so4k,so4k) conformal matter, and hence should be understood for more general classes of 6d (1, 0) SCFTs.

We introduce a class of Higgsbranch RG flows in theories of classS, which flow between d = 4 N = 2 SCFTs of the same ADE type. We discuss two applications of this class of RG flows: 1) determining the currentalgebra levels in SCFTs where they were previously unknown — a program we carry out for the classS theories of type E6 and E7 — and 2) constructing a multitude of examples of pairs of N = 2 SCFTs whose “conventional invariants” coincide. We disprove the conjecture of [1] that the global form of the flavour symmetry group is a reliable diagnostic for determining when two such theories are isomorphic.

A bstract We investigate the spontaneous breaking of subsystem symmetries directly in the context of continuum field theories by calculating the correlation function of charged operators. Our methods confirm the lack of spontaneous symmetry breaking in some of the existing continuum field theories with subsystem symmetries, as had previously been established based on a careful analysis of the spectrum. We present some novel continuum field theory constructions that do exhibit spontaneous symmetry breaking whenever allowed by general principles. These interesting patterns of symmetry breaking occur despite the fact that all the theories we study are noninteracting.

A bstract We analyze, in perturbation theory, a theory of weakly interacting fractons and nonrelativistic fermions in a 2+1 dimensional Quantum Field Theory. In particular we compute the 1loop corrections to the self energies and interaction vertex, and calculate the associated 1loop Renormalization Group flows of the coupling constants. Surprisingly, we find that the fractonfermion coupling does not flow due to an emergent coordinatedependent symmetry of the effective Lagrangian, making this model a welldefined quantum field theory. We provide additional discussions on the regularization and renormalization of interacting fractonic theories, as well as both qualitative and quantitative remarks regarding the theory at finite temperature and finite chemical potential.

Abstract Strongly nongeodesic, or rapidly turning trajectories in multifield inflation have attracted much interest recently from both theoretical and phenomenological perspectives. Most models with large turning rates in the literature are formulated as effective field theories. In this paper we investigate rapidturn inflation in supergravity as a first step towards understanding them in string theory. We find that large turning rates can be generated in a wide class of models, at the cost of high field space curvature. In these models, while the inflationary trajectories are stable, one Hessian eigenvalue is always tachyonic and large, in Hubble units. Thus, these models satisfy the de Sitter swampland conjecture along the inflationary trajectory. However, the high curvatures underscore the difficulty of obtaining rapidturn inflation in realistic stringtheoretical models.In passing, we revisit the η problem in multifield slowroll inflation and show that it does not arise, inasmuch as the inflatons, ϕ i , can all be heavier (in absolute value) that the Hubble scale:  m i  /H >1, ∀ i .

We study theories of type D4 in classS, with nonabelian outerautomorphism twists around various cycles of the punctured Riemann surface C. We propose an extension of previous formulæ for the superconformal index to cover this case and classify the SCFTs corresponding to fixtures (3punctured spheres). We then go on to study families of SCFTs corresponding to oncepunctured tori and 4punctured spheres. These exhibit new behaviours, not seen in previous investigations. In particular, the generic theory with 4 punctures on the sphere from noncommuting Z2 twisted sectors has six distinct weaklycoupled descriptions.

A bstract It is known that some theories of class S are actually factorized into multiple decoupled nontrivial fourdimensional $$ \mathcal{N} $$ N = 2 theories. We propose a way of constructing examples of this phenomenon using the physics of halfBPS surface defects, and check that it works in one simple example: it correctly reproduces a known realization of two copies of $$ \mathcal{N} $$ N = 2 superconformal SU(2) QCD, describing this factorized theory as a class S theory of type A 3 on a fivepunctured sphere with a twist line. Separately, we also present explicit checks that the Coulomb branch of a putative factorized class S theory has the expected product structure, in two examples.

A bstract Given a 4d $$ \mathcal{N} $$ N = 2 superconformal theory with an $$ \mathcal{N} $$ N = (2 , 2) superconformal surface defect, a marginal perturbation of the bulk theory induces a complex structure deformation of the defect moduli space. We describe a concrete way of computing this deformation using the bulkdefect OPE.

A bstract There are wellknown criteria on the potential and fieldspace geometry for determining if slowroll, slowturn, multifield inflation is possible. However, even though it has been a topic of much recent interest, slowroll, rapidturn inflation only has such criteria in the restriction to two fields. In this work, we generalize the twofield, rapidturn inflationary attractor to an arbitrary number of fields. We quantify a limit, which we dub extreme turning , in which rapidturn solutions may be found efficiently and develop methods to do so. In particular, simple results arise when the covariant Hessian of the potential has an eigenvector in close alignment with the gradient — a situation we find to be common and we prove generic in twofield hyperbolic geometries. We verify our methods on several known rapidturn models and search two typeIIA constructions for rapidturn trajectories. For the first time, we are able to efficiently search for these solutions and even exclude slowroll, rapidturn inflation from one potential.