BRST Formulation of Partition Function Constraints

BRST Formulation of Partition Function Constraints

We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators ∆ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy F in the presence of external sources thus satisfies a “Master Equation” which is described in terms of a tower of higher antibrackets. UUITP-23/96 NBI-HE-96-52 hep-th/9610083

Brst Formulation of 4-monopoles

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary fields and the Wess-Zumino fields in an unusual way, arising naturally from BRST gauge fixing. A new canonical approach over Riemann manifolds is followed, using ...

Virasoro constraints for Kontsevich-Hurwitz partition function

In [1, 2] M.Kazarian and S.Lando found a 1-parametric interpolation between Kontsevich and Hurwitz partition functions, which entirely lies within the space of KP τ -functions. In [3] V.Bouchard and M.Marino suggested that this interpolation satisfies some deformed Virasoro constraints. However, they described the constraints in a somewhat sophisticated form of AMM-Eynard equations [4, 5, 6, 7]...

On the Operator Formulation of the Polyatomic Molecule Partition Function

The Nielsen Hamiltonian of the general polyatomic molecule including anharmonicity and its resonances, Coriolis-coupling and its resonances, and rotation-vibration interaction are treated by statistical perturbat ion theory in its operator form. By generating function methods and operator theorems, which are treated in an appendix, cumbersome calculations with non-commuting operators are avoide...

Constraints on Fluid Dynamics from Equilibrium Partition Function