96,015 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
Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces
In this paper, we prove that minimal hypersurfaces when and nonzero
constant mean curvature hypersurfaces when foliated by spheres in
parallel horizontal hyperplanes in must be
rotationally symmetric.Comment: This article is to appear in Bull. Korean Math. Soc. in 201
harmonic 1-forms on minimal submanifolds in hyperbolic space
In this paper, we prove the nonexistence of harmonic 1-forms on a
complete super stable minimal submanifold in hyperbolic space under the
assumption that the first eigenvalue for the Laplace operator
on is bounded below by . Moreover, we provide sufficient
conditions for minimal submanifolds in hyperbolic space to be super stable.Comment: 6 pages, to appear in Journal of Mathematical Analysis and
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