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arXiv · 0812.5074

Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism

Nathan Berkovits
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Abstract

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure spinor ghosts can be treated as complex conjugates, the zero mode measure factor is trivial, and the b ghost does not require non-minimal fields. Furthermore, a topological version of the AdS_5xS^5 action with the same worldsheet variables and BRST operator can be constructed by gauge-fixing a G/G principal chiral model where G=PSU(2,2|4). This topological model is argued to describe the zero radius limit that is dual to free N=4 super-Yang-Mills and can also be interpreted as an "unbroken phase" of superstring theory.

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Nathan Berkovits. 2008-12-30. Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism. https://doi.org/10.1088/1126-6708/2009/09/051

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