192 research outputs found
Chiral flavors and M2-branes at toric CY4 singularities
No full textWe extend the stringy derivation of N=2 AdS4/CFT3 dualities to cases where the M-theory circle degenerates at complex codimension-two submanifolds of a toric
conical CY4. The type IIA backgrounds include D6-branes, and the dual N=2 quiver gauge theories contain chiral flavors. We provide a general recipe to derive the geometric moduli space of flavored versions of Abelian toric quiver gauge theories. The CY4 cone is reproduced thanks to a non-trivial quantum F-term relation between diagonal monopole
operators and bifundamental fields. We find new field theory duals to many geometries, including Q111
Three-dimensional N=2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review
No full textWe give a pedagogical introduction to the study of supersymmetric partition functions of 3D N=2 supersymmetric Chern–Simons-matter theories (with an R-symmetry) on half-BPS closed three-manifolds — including S3, S2×S1, and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D N=2 supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities
N=2 cascade revisited and the enhançon bearings
No full textSupergravity backgrounds with varying fluxes generated by fractional branes at nonisolated Calabi-Yau singularities had escaped a precise dual field theory interpretation so far. In the present work, considering the prototypical example of such models, the C×C2/Z2 orbifold, we propose a solution for this problem, and show that the known cascading solution corresponds to a vacuum on the Coulomb branch of the corresponding quiver gauge theory involving a sequence of strong coupling transitions reminiscent of the baryonic root of N=2 supersymmetric quantum chromodynamics. We also find a slight modification of this cascading vacuum which upon mass deformation is expected to flow to the Klebanov-Strassler cascade. Finally, we discuss an infinite class of vacua on the Coulomb branch whose renormalization group flows include infinitely coupled conformal regimes, and explain their gravitational manifestation in terms of new geometric structures that we dub enhançon bearings. Repulson-free backgrounds dual to all the vacua we analyze are explicitly provided. © 2009 The American Physical Society.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Comments on twisted indices in 3d supersymmetric gauge theories
No full textWe study three-dimensional N = 2 supersymmetric gauge theories on Σg × S
1
with a topological twist along Σg, a genus-g Riemann surface. The twisted supersymmetric
index at genus g and the correlation functions of half-BPS loop operators on S
1
can be
computed exactly by supersymmetric localization. For g = 1, this gives a simple UV
computation of the 3d Witten index. Twisted indices provide us with a clean derivation of
the quantum algebra of supersymmetric Wilson loops, for any Yang-Mills-Chern-Simonsmatter
theory, in terms of the associated Bethe equations for the theory on R
2 × S
1
. This
also provides a powerful and simple tool to study 3d N = 2 Seiberg dualities. Finally, we
study A- and B-twisted indices for N = 4 supersymmetric gauge theories, which turns out
to be very useful for quantitative studies of three-dimensional mirror symmetry. We also
briefly comment on a relation between the S
2 × S
1
twisted indices and the Hilbert series
of N = 4 moduli spaces
Comments on 3d Seiberg-like dualities
No full textWe study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S^3 match between dual descriptions
Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
No full textWe study the quantum moduli space of N=2 Chern-Simons quivers with generic ranks and CS levels, proving along the way exact formulas for the charges of bare monopole operators. We then derive N=2 Chern-Simons quiver theories dual to AdS4×Yp,q(CP2) M-theory backgrounds, for the whole family of Sasaki-Einstein seven-manifolds and for any value of the torsion G4 flux. The derivation of the gauge theories relies on the reduction to type IIA string theory, in which M2-branes become D2-branes while the conical geometry maps to RR flux and D6-branes wrapped on compact four-cycles. M5-branes on torsion cycles map to flux and wrapped D4-branes. The moduli space of the quiver is shown to contain the corresponding CY4 cone and all its crepant resolutions
’t Hooft anomalies and the holomorphy of supersymmetric partition functions
No full textWe study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, GF, for 2d N = (0, 2) and 4d N = 1 supersymmetric quantum field theories. In any diffeomorphism-invariant scheme and in the presence of GF ’t Hooft anomalies, the supersymmetric Ward identities imply that the partition function has a non-holomorphic dependence on the flavor parameters. We show this explicitly for the 2d torus partition function, ZT2 , and for a large class of 4d partition functions on half-BPS four-manifolds, ZM4 — in particular, for M 4 = S3 × S1 and M 4 = Σg × T2. We propose a new expression for ZMd−1×S1 , which differs from earlier holomorphic results by the introduction of a non-holomorphic “Casimir” pre-factor. The latter is fixed by studying the “high temperature” limit of the partition function. Our proposal agrees with the supersymmetric Ward identities, and with explicit calculations of the absolute value of the partition function using a gauge-invariant zeta-function regularization
Stable non-supersymmetric vacua at the bottom of cascading gauge theories
No full textWe consider a wide class of cascading gauge theories which usually lead to runaway behavior in the IR, and discuss possible deformations of the superpotential at the bottom of the cascade which stabilize the runaway direction and provide stable non-supersymmetric vacua. The models we find may allow for a dual weakly coupled supergravity analysis of dynamical supersymmetric breaking. © 2007 WILEY-VCH Verlag GmbH & Co. KGaA.SCOPUS: cp.jFLWINinfo:eu-repo/semantics/publishe
Gauge/gravity duality and the interplay of various fractional branes
No full textWe consider different types of fractional branes on a Z2 orbifold of the conifold and analyze in detail the corresponding gauge/gravity duality. The gauge theory possesses a rich and varied dynamics, both in the UV and in the IR. We find the dual supergravity solution, which contains both untwisted and twisted 3-form fluxes, related to what are known as deformation and N=2 fractional branes, respectively. We analyze the resulting renormalization group flow from the supergravity perspective, by developing an algorithm to easily extract it. We find hints of a generalization of the familiar cascade of Seiberg dualities due to a nontrivial interplay between the different types of fractional branes. We finally consider the IR behavior in several limits, where the dominant effective dynamics is either confining in a Coulomb phase or runaway, and discuss the resolution of singularities in the dual geometric background. © 2008 The American Physical Society.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
supersymmetric indices and the four-dimensional A-model
No full textWe compute the supersymmetric partition function of = 1 supersymmetric gauge theories with an R-symmetry on , a principal elliptic fiber bundle of degree p over a genus-g Riemann surface, Σ . Equivalently, we compute the generalized supersymmetric index , with the supersymmetric three-manifold as the spatial slice. The ordinary = 1 supersymmetric index on the round three-sphere is recovered as a special case. We approach this computation from the point of view of a topological A-model for the abelianized gauge fields on the base Σ . This A-model — or A-twisted two-dimensional = (2, 2) gauge theory — encodes all the information about the generalized indices, which are viewed as expectations values of some canonically-defined surface defects wrapped on T inside Σ × T. Being defined by compactification on the torus, the A-model also enjoys natural modular properties, governed by the four-dimensional ’t Hooft anomalies. As an application of our results, we provide new tests of Seiberg duality. We also present a new evaluation formula for the three-sphere index as a sum over two-dimensional vacua.We compute the supersymmetric partition function of supersymmetric gauge theories with an -symmetry on , a principal elliptic fiber bundle of degree over a genus- Riemann surface, . Equivalently, we compute the generalized supersymmetric index , with the supersymmetric three-manifold as the spatial slice. The ordinary supersymmetric index on the round three-sphere is recovered as a special case. We approach this computation from the point of view of a topological -model for the abelianized gauge fields on the base . This -model---or -twisted two-dimensional gauge theory---encodes all the information about the generalized indices, which are viewed as expectations values of some canonically-defined surface defects wrapped on inside . Being defined by compactification on the torus, the -model also enjoys natural modular properties, governed by the four-dimensional 't Hooft anomalies. As an application of our results, we provide new tests of Seiberg duality. We also present a new evaluation formula for the three-sphere index as a sum over two-dimensional vacua
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