12 research outputs found
Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
We compute the 1-loop partition function for strings in
, whose worldsheets end along a line with small cusp
angles in the boundary of AdS. We obtain these 1-loop results in terms of the
vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz
and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to
the next to leading order in the strong coupling expansion. The agreement is
observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.Comment: 28 page
Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as
the duals of certain 1/6 BPS circular Wilson loops in N=6 super
Chern-Simons-matter gauge theory. We use our results to verify -in the strong
coupling limit- a proposal made in arXiv:1402.4128 for a relation between the
expectation value of these Wilson loops and the Bremsstrahlung function from
deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous
relation between the expectation value of some particular 1/12 BPS Wilson loops
and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an
internal space cusp.Comment: 25 pages, 1 figures; v2 author ordering correcte
When the moduli space is an orbifold: Spontaneous breaking of continuous non-invertible symmetries
We investigate theories of Nambu-Goldstone bosons where the spontaneously
broken continuous symmetry is non-invertible. In such theories, the vacua
generically parameterize an orbifold. We study in detail the simplest example
of a single free scalar with shift symmetry, modded by reflection symmetry. At
singular points of the vacuum manifold, we show that the spectrum of NG
excitations is reduced, in particular there are no single-particle states. At
the smooth points, on the other hand, single NG modes are present. We show that
this is a consequence of the fact that at those points one can construct
invertible operators implementing the continuous symmetry on the Hilbert space.Comment: 21 page
Non-Invertible Defects in 5d, Boundaries and Holography
We show that very simple theories of abelian gauge fields with a cubic
Chern-Simons term in 5d have an infinite number of non-invertible co-dimension
two defects. They arise by dressing the symmetry operators of the broken
electric 1-form symmetry with a suitable topological field theory, for any
rational angle. We further discuss the same theories in the presence of a 4d
boundary, and more particularly in a holographic setting. There we find that
the bulk defects, when pushed to the boundary, have various different fates.
Most notably, they can become co-dimension one non-invertible defects of a
boundary theory with an ABJ anomaly.Comment: v3: Journal Versio
Non-invertible symmetries along 4d RG flows
We explore novel examples of RG flows preserving a non-invertible
self-duality symmetry. Our main focus is on quadratic
superpotential deformations of 4d super-Yang-Mills theory with
gauge algebra . A theory that can be obtained in this way is
the so-called SYM where all adjoint chiral multiplets have a
mass. Such IR theory exhibits a rich structure of vacua which we thoroughly
examine. Our analysis elucidates the physics of spontaneous breaking of
self-duality symmetry occurring in the degenerate gapped vacua. The
construction can be generalized, taking as UV starting point a theory of class
, to demonstrate how non-invertible self-duality symmetries exist
in a variety of SCFTs. We finally apply this understanding to
prove that the conifold theory has a non-invertible self-duality symmetry.Comment: 48 pages + appendices. v2: refs added and typos correcte
Symmetry breaking of non-invertible global symmetries
The notion of symmetry breaking has long been a valuable guiding principle to understand the behavior of physical systems at low energies. Accordingly, the Landau paradigm states that the effective description of infrared phases should be dictated by how global symmetries are realized by the ground state. In spite of being an intuitive and appealing idea, this paradigm has found multiple counterexamples along the decades. In this context, the notion of generalized global symmetries enabled the inclusion of many of these phases within a generalized Landau paradigm. In this talk, we will illustrate how this works when the broken symmetry does not correspond to an ordinary group-like symmetry, but rather to a non-invertible (or categorical) symmetry. In doing so, we will show that some standard concepts about symmetry breaking still hold within this context, whereas some others acquire an interesting twist. We will present a number of simple examples where the broken non-invertible symmetries are either of the discrete or the continuous type.</p
When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries
Abstract We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection symmetry. At singular points of the vacuum manifold, we show that the spectrum of NG excitations is reduced, in particular there are no single-particle states. At the smooth points, on the other hand, single NG modes are present. We show that this is a consequence of the fact that at those points one can construct invertible operators implementing the continuous symmetry on the Hilbert space
Continuous generalized symmetries in three dimensions
Abstract We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent theory revealing a ’t Hooft anomaly in the space of coupling constants when suitable compact scalar background fields are activated. Furthermore, the gauging procedure also implies that our main example has infinitely many non-invertible global symmetries. These can be obtained by dressing the continuous symmetry operators with topological quantum field theories. Finally, we comment on the holographic realization of both 2-group global symmetries and non-invertible symmetries discussed here by introducing a corresponding four-dimensional bulk description in terms of dynamical gauge fields
Exploring duality symmetries, multicriticality and RG flows at c = 2
In this work, we study the realization of non-invertible duality symmetries along the toroidal branch of the c = 2 conformal manifold. A systematic procedure to construct symmetry defects is implemented to show that all Rational Conformal Field Theories along this branch enjoy duality symmetries. Furthermore, we delve into an in-depth analysis of two representative cases of multicritical theories, where the toroidal branch meets various orbifold branches. For these particular examples, the categorical data and the defect Hilbert spaces associated with the duality symmetries are obtained by resorting to modular covariance. Finally, we study the interplay between these novel symmetries and the various exactly marginal and relevant deformations, including some representative examples of Renormalization Group flows where the infrared is constrained by the non-invertible symmetries and their anomalies.SCOPUS: ar.jinfo:eu-repo/semantics/publishe