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October, 2004 Spectra of D-branes with Higgs vevs
Ron Donagi, Sheldon Katz, Eric Sharpe
Adv. Theor. Math. Phys. 8(5): 813-859 (October, 2004).


In this paper we continue previous work on counting open string states between D-branes by considereing open strings between D-branes with nonzero Higgs vevs, and in particular, nilpotent Higgs vevs, as arise, for example, when studying D-branes in orbifolds. Ordinarily Higgs vevs can be interpreted as moving the D-brane, but nilpotent Higgs vevs have zero eigenvalues, and so their interpretation is more interesting - for example, they often correspond to nonreduced schemes, which furnishes an important link in understanding old results relating classical D-brane moduli spaces in orbifolds to Hilbert schemes, resolutions of quotient spaces, and the McKay correspondence. We give a sheaf-theoretic description of D-branes with Higgs vevs, including nilpotent Higgs vevs, and check that description by noting that Ext groups between the sheaves modelling the D-branes, do in fact correctly count open string states. In particular, our analysis expands the types of sheaves which admit on-shell physical interpretations, which is an important step for making derived categories useful for physics.


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Ron Donagi. Sheldon Katz. Eric Sharpe. "Spectra of D-branes with Higgs vevs." Adv. Theor. Math. Phys. 8 (5) 813 - 859, October, 2004.


Published: October, 2004
First available in Project Euclid: 2 June 2005

zbMATH: 1092.81056
MathSciNet: MR2160772

Rights: Copyright © 2004 International Press of Boston


Vol.8 • No. 5 • October, 2004
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