Strings on orbifold lines

Creators: Bergman, Oren; Gimon, Eric; Kol, Barak

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Abstract

The orbifold lines IIA/Script I8 and IIB/Script I8(-1)FL possess BPS discrete torsion variants which carry fundamental string (NSNS) charge. We show that these variants are actually classified by an integral electric field F from the twisted RR sector, and compute their tension and NSNS charge as a function of F. The analysis employs equivariant K-theory and the string creation phenomenon. The K-theory results demonstrate the corrections to cohomology in the case of torsion; it is found that 8 units of F are invisible at transverse infinity for IIA, and correspondingly 16 units for IIB.

Additional Information

Received 26 February 2001, accepted for publication 9 May 2001, Published 16 May 2001 We would like to thank E. Witten, M. Atiyah and S. Sethi for useful conversations. B.K. would like to thank I. Brunner, A. Hanany, A. Schwarz, and members of the IAS group, especially K. Dasgupta, E. Diaconescu, J. Maldacena and N. Seiberg for discussions. B.K. also thanks the Hebrew University in Jerusalem for hospitality during the course of the work. E.G. would like to thank the ITP at Santa Barbara which is supported in part by the National Science Foundation under Grant No. PHY99-07949 for their hospitality while this work was being completed. O.B. was supported in part by the DOE under grant no. DE-FG03-92-ER40701, and by a Sherman Fairchild Prize Fellowship. The work of E.G. was supported by NSF grant no. 0070928 and by Frank and Peggy Taplin. The work of B.K. was supported by DOE grant no. DE-FG02-90ER4052 and by a Raymond and Beverley Sackler Fellowship.

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