1,474 research outputs found
On noncommutative Nahm transform
Motivated by the recently observed relation between the physics of -branes
in the background of -field and the noncommutative geometry we study the
analogue of Nahm transform for the instantons on the noncommutative torus.Comment: Latex, 22 p
Hilbert Schemes, Separated Variables, and D-Branes
We explain Sklyanin's separation of variables in geometrical terms and
construct it for Hitchin and Mukai integrable systems. We construct Hilbert
schemes of points on for \Sigma = {\IC}, {\IC}^{*} or elliptic
curve, and on and show that their complex deformations
are integrable systems of Calogero-Sutherland-Moser type. We present the
hyperk\"ahler quotient constructions for Hilbert schemes of points on cotangent
bundles to the higher genus curves, utilizing the results of Hurtubise,
Kronheimer and Nakajima. Finally we discuss the connections to physics of
-branes and string duality.Comment: harvmac, 27 pp. big mode; v2. typos and references correcte
The Character of Pure Spinors
The character of holomorphic functions on the space of pure spinors in ten,
eleven and twelve dimensions is calculated. From this character formula, we
derive in a manifestly covariant way various central charges which appear in
the pure spinor formalism for the superstring. We also derive in a simple way
the zero momentum cohomology of the pure spinor BRST operator for the D=10 and
D=11 superparticle.Comment: 42 pages, 2 picture
Matone's relation of N=2 super Yang-Mills and spectrum of Toda chain
In N=2 super Yang-Mills theory, the Matone's relation relates instanton
corrections of the prepotential to instanton corrections of scalar field
condensation . This relation has been proved to hold for Omega
deformed theories too, using localization method. In this paper, we first give
a case study supporting the relation, which does not rely on the localization
technique. Especially, we show that the magnetic expansion also satisfies a
relation of Matone's type. Then we discuss implication of the relation for the
spectrum of periodic Toda chain, in the context of recently proposed
Nekrasov-Shatashvili scheme.Comment: 17 pages; v2 minor changes, references added; v3 more material added
in 2nd section, clarification in 4th sectio
- âŠ