TY - RPRT
T1 - Donagi–Markman cubic for the generalised Hitchin system
Y1 - 2014
A1 - Ugo Bruzzo
A1 - Peter Dalakov
KW - Generalized Hitchin system, Donagi-Markman cubic, algebraically completely integrable systems, moduli space of Higgs G-bundles
AB - 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.
UR - http://hdl.handle.net/1963/7253
U1 - 7294
U2 - Mathematics
U4 - 1
U5 - MAT/03 GEOMETRIA
ER -
TY - RPRT
T1 - D-branes, surface operators, and ADHM quiver representations
Y1 - 2011
A1 - Ugo Bruzzo
A1 - Duiliu-Emanuel Diaconescu
A1 - M. Yardim
A1 - G. Pan
A1 - Yi Zhang
A1 - Chuang Wu-yen
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/4133
N1 - 45 pages, v2: minor corrections
U1 - 3873
U2 - Mathematics
U3 - Mathematical Physics
U4 - -1
ER -