363 research outputs found
Baryon Charges in 4d Superconformal Field Theories and Their AdS Duals
We consider general aspects of the realization of R and non-R flavor
symmetries in the AdS_5 x H_5 dual of 4d N=1 superconformal field theories. We
find a general prescription for computing the charges under these symmetries
for baryonic operators, which uses only topological information (intersection
numbers) on H_5. We find and discuss a new correspondence between the nodes of
the SCFT quiver diagrams and certain divisors in the associated geometry. We
also discuss connections between the non-R flavor symmetries and the enhanced
gauge symmetries in non-conformal theories obtained by adding wrapped branes.Comment: 23 pages, 6 figures. v2: added comment
Exploring the 4d Superconformal Zoo
We discuss a new constraint for determining the superconformal U(1)_R
symmetry of 4d N=1 SCFTs: It is the unique one which locally maximizes a(R) =
3Tr R^3-Tr R. This constraint comes close to proving the conjectured
"a-theorem" for N=1 SCFTs. Using this "a-maximization", exact results can now
be obtained for previously inaccessible 4d N=1 SCFTs. We apply this method to a
rich class of examples: 4d N=1 SQCD with added matter chiral superfields in the
adjoint representation. We classify a zoo of SCFTs, finding that Arnold's ADE
singularity classification arises in classifying these theories via all
possible relevant Landau-Ginzburg superpotentials. We verify that all RG flows
are indeed compatible with the "a-theorem" conjecture, a_{IR}<a_{UV}, in every
caseComment: QTS '03 conference proceeding
BCFW Recursion Relations and String Theory
We demonstrate that all tree-level string theory amplitudes can be computed
using the BCFW recursion relations. Our proof utilizes the pomeron vertex
operator introduced by Brower, Polchinski, Strassler, and Tan. Surprisingly, we
find that in a particular large complex momentum limit, the asymptotic
expansion of massless string amplitudes is identical in form to that of the
corresponding field theory amplitudes. This observation makes manifest the fact
that field-theoretic Yang-Mills and graviton amplitudes obey KLT-like
relations. Moreover, we conjecture that in this large momentum limit certain
string theory and field theory amplitudes are identical, and provide evidence
for this conjecture. Additionally, we find a new recursion relation which
relates tachyon amplitudes to lower-point tachyon amplitudes.Comment: 36 pages, JHEP3; reference and note added, improved discussion in
section
Semi-direct Gauge Mediation
We describe a framework for gauge mediation of supersymmetry breaking in
which the messengers are charged under the hidden sector gauge group but do not
play a role in breaking supersymmetry. From this point of view, our framework
is between ordinary gauge mediation and direct mediation. As an example, we
consider the 3-2 model of dynamical supersymmetry breaking, and add to it
massive messengers which are SU(2) doublets. We briefly discuss the
phenomenology of this scenario.Comment: 24 pages. v2: Typos corrected and reference added. v3: Reference
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AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces
In this letter we describe an infinite family of new N=1 AdS_5/CFT_4 dual
pairs which arise from M5-branes wrapping Riemann surfaces in Calabi-Yau
threefolds. We use the relevant brane constructions to compute the central
charges of the infrared fixed points from the M5-brane anomaly polynomial. We
then present AdS_5 x M_6 solutions of eleven-dimensional supergravity which are
dual to these CFTs at large N. Finally, we provide a purely four-dimensional
field theory construction which flows to a special class of these fixed points.
These theories will be further elaborated upon in a companion paper.Comment: 4 pages, 2 figures. v2: typos corrected, conclusions section omitted
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