Open Access
October 2006 Topological heterotic rings
Allan Adams, Jacques Distler, Morten Ernebjerg
Adv. Theor. Math. Phys. 10(5): 657-682 (October 2006).


We prove the existence of topological rings in $(0,2)$ theories containing non-anomalous left-moving $U(1)$ currents by which they may be twisted. While the twisted models are not topological, their ground operators form a ring under non-singular OPE which reduces to the $(a,c)$ or $(c,c)$ ring at $(2,2)$ points and to a classical sheaf cohomology ring at large radius, defining a quantum sheaf cohomology away from these special loci. In the special case of Calabi–Yau compactifications, these rings are shown to exist globally on the moduli space if the rank of the holomorphic bundle is less than eight.


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Allan Adams. Jacques Distler. Morten Ernebjerg. "Topological heterotic rings." Adv. Theor. Math. Phys. 10 (5) 657 - 682, October 2006.


Published: October 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1116.81049
MathSciNet: MR2281544

Primary: 81T45
Secondary: 14Jxx

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 5 • October 2006
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