integration over families of lagrangian submanifolds in bv formalism

Clicks: 228
ID: 163704
2018
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Abstract
Gauge fixing is interpreted in BV formalism as a choice of Lagrangian submanifold in an odd symplectic manifold (the BV phase space). A natural construction defines an integration procedure on families of Lagrangian submanifolds. In string perturbation theory, the moduli space integrals of higher genus amplitudes can be interpreted in this way. We discuss the role of gauge symmetries in this construction. We derive the conditions which should be imposed on gauge symmetries for the consistency of our integration procedure. We explain how these conditions behave under the deformations of the worldsheet theory. In particular, we show that integrated vertex operator is actually an inhomogeneous differential form on the space of Lagrangian submanifolds.
Reference Key
mikhailov2018nuclearintegration Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Andrei Mikhailov
Journal biology and fertility of soils
Year 2018
DOI
10.1016/j.nuclphysb.2018.01.006
URL
http://www.sciencedirect.com/science/article/pii/S0550321318300063
Keywords
radioactivity atomic energy nuclear and particle physics

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