Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to nonfederal websites. Their policies may differ from this site.

Free, publiclyaccessible full text available May 1, 2024

Free, publiclyaccessible full text available March 1, 2024

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.more » « less

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.more » « less

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.more » « less

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.more » « less

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.more » « less

We construct a family of examples of pairs of 4d N = 2 SCFTs whose graded Coulomb branch dimensions, Weylanomaly coefficients and flavour symmetry algebras and levels coincide, but which are nonetheless distinct SCFTs. The difference (detectable by the superconformal index) can occur at arbitrarily high order. We argue that it is, however, reflected in a difference in the global form of the flavour symmetry groups.more » « less

In [1], Weinberg made a conjecture about the littlegroup representations of massless particles that can be created out of the vacuum by the action of a local operator in d dimensions, generalizing his old result [2] in d = 4. In this note, I prove his conjecture and extend it to arbitrary irreps of so(1, d − 1).more » « less