TY - RPRT
T1 - Observables in the equivariant A-model
Y1 - 2018
A1 - Bonechi, F.
A1 - Cattaneo, A.S.
A1 - Riccardo Iraso
A1 - Maxim Zabzine
UR - https://arxiv.org/abs/1807.08659
ER -
TY - JOUR
T1 - Topological branes, p-algebras and generalized Nahm equations
JF - Phys. Lett. B 672 (2009) 390-395
Y1 - 2009
A1 - Giulio Bonelli
A1 - Alessandro Tanzini
A1 - Maxim Zabzine
AB - Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory
UR - http://hdl.handle.net/1963/2702
U1 - 1398
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - RPRT
T1 - Computing Amplitudes in topological M-theory
Y1 - 2007
A1 - Giulio Bonelli
A1 - Alessandro Tanzini
A1 - Maxim Zabzine
AB - We define a topological quantum membrane theory on a seven dimensional manifold of $G_2$ holonomy. We describe in detail the path integral evaluation for membrane geometries given by circle bundles over Riemann surfaces. We show that when the target space is $CY_3\\\\times S^1$ quantum amplitudes of non-local observables of membranes wrapping the circle reduce to the A-model amplitudes. \\nIn particular for genus zero we show that our model computes the Gopakumar-Vafa invariants. Moreover, for membranes wrapping calibrated homology spheres in the $CY_3$, we find that the amplitudes of our model are related to Joyce invariants.
JF - JHEP 03 (2007) 023
UR - http://hdl.handle.net/1963/1901
U1 - 2335
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - RPRT
T1 - On topological M-theory
Y1 - 2006
A1 - Giulio Bonelli
A1 - Alessandro Tanzini
A1 - Maxim Zabzine
AB - We construct a gauge fixed action for topological membranes on G2-manifolds such that its bosonic part is the standard membrane theory in a particular gauge. We prove that quantum mechanically the path-integral in this gauge localizes on associative submanifolds.
JF - Adv. Theor. Math. Phys. 10 (2006) 239-260
UR - http://hdl.handle.net/1963/1765
U1 - 2779
U2 - Mathematics
U3 - Mathematical Physics
ER -