String Duality and Non-supersymmetric Strings
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In recent work Kachru, Kumar and Silverstein introduced a special class of non-supersymmetric type II string theories in which the cosmological constant vanishes at the first two orders of perturbation theory. Heuristic arguments suggest the cosmological constant may vanish in these theories to all orders in perturbation theory leading to a flat potential for the dilaton. A slight variant of their model can be described in terms of a dual heterotic theory. The dual theory has a non-zero cosmological constant which is non-perturbative in the coupling of the original type II theory. The dual theory also predicts a mismatch between Bose and Fermi degrees of freedom in the non-perturbative D-brane spectrum of the type II theory.
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Asymmetric orbifolds with vanishing one-loop vacuum energy
Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.
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