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T-duality of the Green-Schwarz superstring
Bogdan Kulik, Radu Roiban
We study T-duality in the Green-Schwarz formalism to all orders in superspace coordinates. We find two analogs of Buscher rules for the supervielbein and clarify their meaning from…
Superstrings on AdS_5 x S^5 supertwistor space
Radu Roiban, Warren Siegel
We derive the Green-Schwarz action on AdS_5 x S^5 using an alternate version of the coset superspace construction. By Wick rotations and Lie algebra identifications we bring the co…
Convergence Theorem for Non-commutative Feynman Graphs and Renormalization
Iouri Chepelev, Radu Roiban
We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive Euclidean quantum field theories on non-commutative R^d (NQFT). We give a detaile…
Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
Irina Mocioiu, Maxim Pospelov, Radu Roiban
A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance on the brane. This violation is controlled by the p…