161 research outputs found
Argyres-Douglas Theories in Class S Without Irregularity
We make a preliminary investigation into twisted theories of class
S. Contrary to a common piece of folklore, we establish that theories of this
type realise a variety of models of Argyres-Douglas type while utilising only
regular punctures. We present an in-depth analysis of all twisted trinion
theories, analyse their interrelations via partial Higgsing, and discuss some
of their generalised S-dualities.Comment: 37 page
Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
We study the 't Hooft anomalies of four-dimensional superconformal field
theories that arise from M5-branes wrapped on a punctured Riemann surface. In
general there are two independent contributions to the anomalies. There is a
bulk term obtained by integrating the anomaly polynomial of the world-volume
theory on the M5-branes over the Riemann surface; this contribution knows about
the punctures only through its dependence on the Euler characteristic of the
surface. The second set of contributions comes from local data at the
punctures; these terms are independent from the bulk data of the surface. Using
anomaly inflow in M-theory, we describe the general structure of the anomalies
for cases when the four-dimensional theories preserve N=2 supersymmetry. We
additionally discuss the anomalies corresponding to (p,q) punctures in N=1
theories.Comment: version 2, 38 pages. We simplified the discussion of the inflow
procedure with punctures and removed the details of the explicit computation
of the puncture anomalies in order to focus on arguing the main new ideas.
Added clarification on main resul
The Euler anomaly and scale factors in Liouville/Toda CFTs
The role played by the Euler anomaly in the dictionary relating sphere
partition functions of four dimensional theories of class and two
dimensional nonrational CFTs is clarified. On the two dimensional side, this
involves a careful treatment of scale factors in Liouville/Toda correlators.
Using ideas from tinkertoy constructions for Gaiotto duality, a framework is
proposed for evaluating these scale factors. The representation theory of Weyl
groups plays a critical role in this framework.Comment: 55 pages, 16 figures; v2:fixed referencing & typos ; v3: argument
about scale factors in Liouville/Toda now phrased in terms of stripped
correlators, leading to a sharper conjecture (earlier version had some
inaccurate statements). Presentation improved, typos fixed, refs added. I
thank the anonymous referee for comments. Version accepted for publication in
JHE
Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
We provide a systematic method to deduce the global form of flavor symmetry
groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal
field theories (SCFTs) on a Riemann surface carrying regular punctures and
possibly outer-automorphism twist lines. Apriori, this method only determines
the group associated to the manifest part of the flavor symmetry algebra, but
often this information is enough to determine the group associated to the full
enhanced flavor symmetry algebra. Such cases include some interesting and
well-studied 4d N=2 SCFTs like the Minahan-Nemeschansky theories. The symmetry
groups obtained via this method match with the symmetry groups obtained using a
Lagrangian description if such a description arises in some duality frame.
Moreover, we check that the proposed symmetry groups are consistent with the
superconformal indices available in the literature. As another application, our
method finds distinct global forms of flavor symmetry group for pairs of
interacting 4d N=2 SCFTs (recently pointed out in the literature) whose Coulomb
branch dimensions, flavor algebras and levels coincide (along with other
invariants), but nonetheless are distinct SCFTs.Comment: 44 pages; v2: Changed some previously confusing notation to improve
clarit
Holographic duals of Higgsed
We construct the AdS holographic duals to all non-Lagrangian 4d
superconformal field theories of Argyres--Douglas type, namely,
, arising from class of classical type
involving irregular punctures of regular semi-simple type. The 11d supergravity
duals contain an internal space of the form of a fibered product of a disc with
a squashed and fibered four-sphere and includes orbifold projections which
depend on the type of twist lines/outer-automorphism twists in the class
theory. We verify the holographic duality by determining and
matching the anomalies (including the central charges and and the
flavor central charges) at leading and subleading orders. The Higgs branch of
the conformal field theory is described via Higgsing by a nilpotent orbit of a
classical Lie algebra; we find the exact closed form formulae for the central
charges for every Higgsing. We prove that in the supergravity duals,
constraints on the type of partitions associated to allowable Higgsings are
enforced by the consistency condition known as the t-rule.Comment: 49 pages + reference
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