Dynamics of strings in noncommutative gauge theory
Jul, 200030 pages
Published in:
- JHEP 10 (2000) 021
e-Print:
- hep-th/0007204 [hep-th]
Report number:
- PUPT-1945,
- ITEP-TH-39-00,
- NSF-ITP-00-71
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Abstract:
We continue our study of solitons in noncommutative gauge theories and present an extremely simple BPS solution of N=4 U(1) noncommutative gauge theory in 4 dimensions, which describes N infinite D1 strings that pierce a D3 brane at various points, in the presence of a background B-field in the Seiberg-Witten limit. We call this solution the N-fluxon. For N=1 we calculate the complete spectrum of small fluctuations about the fluxon and find three kinds of modes: the fluctuations of the superstring in 10 dimensions arising from fundamental strings attached to the D1strings, the ordinary particles of the gauge theory in 4 dimensions and a set of states with discrete spectrum, localized at the intersection point--- corresponding to fundamental strings stretched between the D1string and the D3 brane. We discuss the fluctuations about theN-fluxon as well and derive explicit expressions for the amplitudes of interactions between these various modes. We show that translations in noncommutative gauge theories are equivalent to gauge transformations (plus a constant shift of the gauge field) and discuss the implications for the translational zeromodes of our solitons. We also find the dyonic versions of N-fluxon, as well as of our previous string-monopole solution.- gauge field theory: U(1)
- differential geometry: nonabelian
- soliton: BPS
- monopole
- dyon
- field equations: string
- Theta parameter
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