%0 Report
%D 2014
%T Donagi–Markman cubic for the generalised Hitchin system
%A Ugo Bruzzo
%A Peter Dalakov
%K Generalized Hitchin system, Donagi-Markman cubic, algebraically completely integrable systems, moduli space of Higgs G-bundles
%X Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system (ACIHS) is encoded in a section of the third symmetric power of the cotangent bundle to the base of the system. For the ordinary Hitchin system the cubic is given by a formula of Balduzzi and Pantev. We show that the Balduzzi–Pantev formula holds on maximal rank symplectic leaves of the G-generalised Hitchin system.
%G en
%U http://hdl.handle.net/1963/7253
%1 7294
%2 Mathematics
%4 1
%# MAT/03 GEOMETRIA
%$ Submitted by Ugo Bruzzo (bruzzo@sissa.it) on 2014-02-17T15:50:22Z
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%0 Report
%D 2011
%T D-branes, surface operators, and ADHM quiver representations
%A Ugo Bruzzo
%A Duiliu-Emanuel Diaconescu
%A M. Yardim
%A G. Pan
%A Yi Zhang
%A Chuang Wu-yen
%X A supersymmetric quantum mechanical model is constructed for BPS states bound to surface operators in five dimensional SU(r) gauge theories using D-brane engineering. This model represents the effective action of a certain D2-brane configuration, and is naturally obtained by dimensional reduction of a quiver $(0,2)$ gauged linear sigma model. In a special stability chamber, the resulting moduli space of quiver representations is shown to be smooth and isomorphic to a moduli space of framed quotients on the projective plane. A precise conjecture relating a K-theoretic partition function of this moduli space to refined open string invariants of toric lagrangian branes is formulated for conifold and local P^1 x P^1 geometries.
%I SISSA
%G en
%U http://hdl.handle.net/1963/4133
%1 3873
%2 Mathematics
%3 Mathematical Physics
%4 -1
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