Nonlocal charges of T-dual strings

Details Nonlocal charges of T-dual strings Nonlocal charges of T-dual strings

2006-03-13

arxiv.org/abs/hep-th/0603097v1

JHEP0607:029,2006

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 1 figure

Scientific paper

10.1088/1126-6708/2006/07/029

We obtain sets of infinite number of conserved nonlocal charges of strings in a flat space and pp-wave backgrounds, and compare them before and after T-duality transformation. In the flat background the set of nonlocal charges is the same before and after the T-duality transformation with interchanging odd and even-order charges. In the IIB pp-wave background an infinite number of nonlocal charges are independent, contrast to that in a flat background only the zero-th and first order charges are independent. In the IIA pp-wave background, which is the T-dualized compactified IIB pp-wave background, the zero-th order charges are included as a part of the set of nonlocal charges in the IIB background. To make this correspondence complete a variable conjugate to the winding number is introduced as a Lagrange multiplier in the IIB action a la Buscher's transformation.

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