96 research outputs found
AdS/CFT with orientifolds
AdS solutions of massive type IIA have been classified, and are dual to a
large class of six-dimensional SCFT's whose tensor branch deformations
are described by linear quivers of SU groups. Quivers and AdS vacua depend
solely on the group theory data of the NS5-D6-D8 brane configurations
engineering the field theories. This has allowed for a direct holographic match
of their conformal anomaly. In this paper we extend the match to cases
where O6 and O8-planes are present, thereby introducing SO and USp groups in
the quivers. In all of them we show that the anomaly computed in
supergravity agrees with the holographic limit of the exact field theory
result, which we extract from the anomaly polynomial. As a byproduct we
construct special AdS vacua dual to nonperturbative F-theory
configurations. Finally, we propose a holographic -theorem for
six-dimensional Higgs branch RG flows.Comment: 91 pages, 6 figures, 4 tables, 4 appendices; v2: typos fixed, version
published in JHE
superconformal theories with blocks
We study the chiral ring of four-dimensional superconformal field theories
obtained by wrapping M5-branes on a complex curve inside a Calabi-Yau
three-fold. We propose a field theoretic construction of all the theories found
by Bah, Beem, Bobev and Wecht by introducing new building blocks, and prove
several dualities featuring the latter. We match the central
charges with those computed from the M5-brane anomaly polynomial, perform the
counting of relevant operators and analyze unitarity bound violations. As a
byproduct, we compute the exact dimension of "heavy operators" obtained by
wrapping an M2-brane on the complex curve.Comment: 45 pages, 17 figures; v2: typos fixed, minor changes, references
added, conclusions added, version published in Phys. Rev.
Supersymmetric AdS_5 solutions of massive IIA supergravity
Motivated by a recently found class of AdS_7 solutions, we classify AdS_5
solutions in massive IIA, finding infinitely many new analytical examples. We
reduce the general problem to a set of PDEs, determining the local internal
metric, which is a fibration over a surface. Under a certain simplifying
assumption, we are then able to analytically solve the PDEs and give a complete
list of all solutions. Among these, one class is new and regular. These spaces
can be related to the AdS_7 solutions via a simple universal map for the
metric, dilaton and fluxes. The natural interpretation of this map is that the
dual CFT_6 and CFT_4 are related by twisted compactification on a Riemann
surface . The ratio of their free energy coefficients is proportional
to the Euler characteristic of . As a byproduct, we also find the
analytic expression for the AdS_7 solutions, which were previously known only
numerically. We determine the free energy for simple examples: it is a simple
cubic function of the flux integers.Comment: 56 pages, 2 figures, LaTeX; v3: subsection 4.3.1 revised, minor
correction
All AdS_7 solutions of type II supergravity
In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its
orbifolds. In this paper, we find and classify new supersymmetric solutions of
the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA
with Romans mass (which does not lift to M-theory) there are many new ones. We
use a pure spinor approach reminiscent of generalized complex geometry. Without
the need for any Ansatz, the system determines uniquely the form of the metric
and fluxes, up to solving a system of ODEs. Namely, the metric on M_3 is that
of an S^2 fibered over an interval; this is consistent with the Sp(1)
R-symmetry of the holographically dual (1,0) theory. By including D8 brane
sources, one can numerically obtain regular solutions, where topologically M_3
= S^3.Comment: 45 pages, 4 figures. v2: solution with single D8 added; references
added; minor correction
Holography, Matrix Factorizations and K-stability
Placing D3-branes at conical Calabi-Yau threefold singularities produces many
AdS/CFT duals. Recent progress in differential geometry has produced a
technique (called K-stability) to recognize which singularities admit conical
Calabi-Yau metrics. On the other hand, the algebraic technique of
non-commutative crepant resolutions, involving matrix factorizations, has been
developed to associate a quiver to a singularity. In this paper, we put
together these ideas to produce new AdS/CFT duals, with special
emphasis on non-toric singularities.Comment: 59 pages, 11 figures, 2 appendices; v2: typos fixed, expanded
discussion in section 2.5 and 4.
A note on smeared branes in flux vacua and gauged supergravity
In the known examples of flux vacua with calibrated spacetime-filling sources
(branes or orientifold planes), one can smear the source in order to perform a
standard KK reduction and obtain a lower-dimensional supergravity description.
Furthermore, it is expected that the smeared and localized solution preserve
equal amounts of supersymmetry. In this note we point out that the
solution discussed in arXiv:1111.2605 and arXiv:1309.2949 is a
counterexample to this common lore. The solution is supersymmetric when the
spacetime-filling D6-branes are localized but breaks supersymmetry in the
smeared limit. By using the embedding tensor formalism we demonstrate that
there is no gauged supergravity description for the solution, regardless of the
source being smeared or not. We conjecture that for flux solutions with
separation between the KK scale and the AdS radius this cannot occur.Comment: 23 pages, LaTeX, no figures; added reference for section
Hierarchies of RG flows in 6d massive E-strings
We extend the analysis of arXiv:2208.11703 to the 6d SCFTs known as
massive E-string theories, which can be engineered in massive Type IIA with
D8-branes close to an O8 (or O8 if ). For each
choice of the massive -strings (including the
more exotic and ) are classified by constrained Kac
labels, i.e. a subset of , from which one can
read off the flavor subalgebra of of each SCFT. We construct
hierarchies for two types of Higgs branch RG flows: flows between massive
theories defined by the same but different labels; flows between massive
theories with different . These latter flows are triggered by T-brane
vev's for the right factor of the SCFT global symmetry, whose
rank is a function of both and , a situation which has so far remained
vastly unexplored.Comment: Part II of a series of papers; 37+11 pages; 13 figure
The Higgs branch of heterotic ALE instantons
We begin a study the Higgs branches of the six-dimensional (1,0) little
string theories (LSTs) governing the worldvolumes of heterotic ALE instantons.
We give a description of such spaces by constructing the corresponding
\textit{magnetic quivers}. The latter are three-dimensional
quiver gauge theories that flow in the infrared to 3d fixed points whose
quantum corrected Coulomb branches are the Higgs branches of the
six-dimensional theories of interest. We present results for both types of
Heterotic strings, and mostly for ALE spaces. Our
analysis is valid both in the absence and in the presence of small instantons.
Along the way, we also describe small instanton transitions in terms
of the corresponding magnetic quivers, which parallels a similar treatment of
the small instanton transitions in the context of the heterotic
string.tiComment: 44 pages, 3 figure
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