Holomorphic Chern-Simons theory coupled to off-shell Kodaira-Spencer gravity
Stefano Giusto, Camillo Imbimbo, Dario Rosa
2012
Journal of High Energy Physics
We construct an action for holomorphic Chern-Simons theory that couples the gauge field to off-shell gravitational backgrounds, comprising the complex structure and the (3,0)-form of the target space. Gauge invariance of the off-shell action is achieved by enlarging the field space to include an appropriate system of Lagrange multipliers, ghost and ghost-for-ghost fields. Both the BRST transformations and the BV action are compactly and neatly written in terms of superfields which include
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... , backgrounds and their antifields. We show that the anti-holomorphic target space derivative can be written as a BRST-commutator on a functional space containing the anti-fields of both the dynamical fields and the gravitational backgrounds. We derive from this result a Ward identity that determines the anti-holomorphic dependence of physical correlators.
doi:10.1007/jhep10(2012)192
fatcat:aldrqojckjhgzgpbvt4qjd6jvm