Non-commutative open (p,q)-string theories
Abstract
In this paper we make an SL(2,Bbb Z)-covariant generalisation of the noncommutative theories, NCYM and NCOS on the D3-brane, and NCOS on the D5-brane in type IIB. Usually, the noncommutative theories are obtained by studying perturbative F-string theory, and the parameters governing the noncommutative theories are given by the open string data. The S-duality of NCYM and NCOS on the D3-brane has been seen by dualising the background, keeping the F-string theory under study fixed. We give an SL(2,Bbb Z)-covariant generalisation of the open string data relevant when one instead studies perturbative (p,q)-string theory. The S-duality of NCYM and NCOS on the D3-brane is reproduced by instead keeping the background fixed and studying different (p,q)-string theories. We also obtain new noncommutative open (p,q)-string theories on the D3-brane and the D5-brane which are S-dual to ordinary NCOS. The theories are studied using the supergravity duals of the D3-brane and the D5-brane, corresponding to a probe brane in the relevant background.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- November 2001
- DOI:
- 10.1088/1126-6708/2001/11/022
- arXiv:
- arXiv:hep-th/0104168
- Bibcode:
- 2001JHEP...11..022G
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- AMSLaTeX. 23 pages. Minor clarifications added. To be published in JHEP