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On the classical dynamics of a pure spinor string on an \(AdS_{5}\times S^{5}\) background. (English) Zbl 1191.81173

Summary: We will discuss some properties of the pure spinor string on an \(AdS_{5}\times S^{5}\) background. Using a classical Hamiltonian analysis we will show that the vertex operator for the massless state that is in the cohomology of the BRST charges describes on-shell fluctuations around an \(AdS_{5}\times S^{5}\) background.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
81T70 Quantization in field theory; cohomological methods
83E30 String and superstring theories in gravitational theory

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