Taming the b antighost with Ramond-Ramond flux

Details Taming the b antighost with Ramond-Ramond flux Taming the b antighost with Ramond-Ramond flux

2010-04-28

arxiv.org/abs/1004.5140v4

JHEP 1011:019,2010

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, harvmac; refs added; corrected the necessary conditions on Ramond-Ramond field to construct b antighost

Scientific paper

10.1007/JHEP11(2010)019

In the pure spinor formalism for the superstring, the b antighost is necessary for multiloop amplitude computations and is a composite operator constructed to satisfy {Q,b}=T where Q is the BRST operator and T is the holomorphic stress-tensor. In superstring backgrounds with only NS-NS fields turned on, or in flat space, one needs to introduce "non-minimal" variables in order to construct the b antighost. However, in Type II backgrounds where the Ramond-Ramond bispinor field-strength satisfies certain conditions, the b antighost can be constructed without the non-minimal variables. Although the b antighost in these backgrounds is not holomorphic, its antiholomorphic derivative is BRST-trivial. We discuss the properties of this operator both in the AdS_5 x S^5 background and in a generic curved background.

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