9,576 research outputs found
A Note on the Stringy Embeddings of Certain N = 2 Dualities
Seiberg-Witten theory can be embedded in F-theory using D3 branes probing an
orientifold geometry. The non-perturbative corrections in the orientifold
picture map directly to the instanton corrections in the corresponding gauge
theory that convert the classical moduli space to the quantum one. In this
short review we argue that the recently proposed class of conformal Gaiotto
models may also be embedded in F-theory. The F-theory constructions help us not
only to understand the Gaiotto dualities but also to extend to the
non-conformal cases with and without cascading behaviors. For the conformal
cases, the near horizon geometries in F-theory capture both the UV and IR
behaviors succinctly.Comment: 6 pages, LaTeX, Based on the talk given by K. D at the Theory Canada
Conference June 2012; v2: Typos corrected and references adde
Effective Superpotentials for SO/Sp with Flavor from Matrix Models
We study matrix models related to gauge theories with flavors. We
give the effective superpotentials for gauge theories with arbitrary tree level
superpotential up to first instanton level. For quartic tree level
superpotential we obtained exact one-cut solution. We also derive
Seiberg-Witten curve for these gauge theories from matrix model argument.Comment: 17pp,2 figures, v2;refs added and to appear in MPL
A functional central limit theorem for a class of urn models
We construct an independent increments Gaussian process associated to a class
of multicolor urn models. The construction uses random variables from the urn
model which are different from the random variables for which central limit
theorems are available in the two color case.Comment: 6 page
Comparative Statics for a Consumer with Possibly Multiple Optimum Consumption Bundles
Non-positivity of the generalized substitution effect, non-positivity of the own-price substitution effect, homogeneity of degree zero in all prices and income, and the law of demand are some of the most primitive comparative static results in the standard revealed preference theory of consumers’ behaviour. These results are however derived for demand functions. The literature does not have corresponding comparative static results for the more plausible case of demand correspondences, where the consumer is permitted to have multiple chosen bundles in a given price-income situation. Using the revealed preference approach to the theory of consumers' behaviour, this note establishes such results for demand correspondences; the analysis can be readily adapted to prove corresponding results in the preference-based approach.demand correspondence, weak axiom of revealed preference, non-positivity of generalized substitution effect, non-positivity of own-price substitution effect, homogeneity of degree zero, law of demand
Fusion and breakup in the reactions of 6,7Li and 9Be
We develop a three body classical trajectory Monte Carlo (CTMC) method to
dicsuss the effect of the breakup process on heavy-ion fusion reactions induced
by weakly bound nuclei. This method follows the classical trajectories of
breakup fragments after the breakup takes place, and thus provides an
unambiguous separation between complete and incomplete fusion cross sections.
Applying this method to the fusion reaction Li + Bi, we find that
there is a significant contribution to the total complete fusion cross sections
from the process where all the breakup fragments are captured by the target
nucleus (i.e., the breakup followed by complete fusion).Comment: 4 pages, 3 eps figures. Uses espcrc1.sty. To be published in the
proceedings of the 8th international conference on clustering aspects of
nuclear structure and dynamics, November 24 - 29, 2003, Nara, Japan (Nucl.
Phys. A
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