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Derived categories and zero-brane stability

Publication ,  Journal Article
Aspinwall, PS; Lawrence, A
Published in: Journal of High Energy Physics
January 1, 2001

We define a particular class of topological field theories associated to open strings and prove the resulting D-branes and open strings form the bounded derived category of coherent sheaves. This derivation is a variant of some ideas proposed recently by Douglas. We then argue that any 0-brane on any Calabi-Yau threefold must become unstable along some path in the Kähler moduli space. As a byproduct of this analysis we see how the derived category can be invariant under a birational transformation between Calabi-Yaus.

Duke Scholars

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Published In

Journal of High Energy Physics

DOI

ISSN

1029-8479

Publication Date

January 1, 2001

Volume

5

Issue

8

Start / End Page

1 / 26

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

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Aspinwall, P. S., & Lawrence, A. (2001). Derived categories and zero-brane stability. Journal of High Energy Physics, 5(8), 1–26. https://doi.org/10.1088/1126-6708/2001/08/004
Aspinwall, P. S., and A. Lawrence. “Derived categories and zero-brane stability.” Journal of High Energy Physics 5, no. 8 (January 1, 2001): 1–26. https://doi.org/10.1088/1126-6708/2001/08/004.
Aspinwall PS, Lawrence A. Derived categories and zero-brane stability. Journal of High Energy Physics. 2001 Jan 1;5(8):1–26.
Aspinwall, P. S., and A. Lawrence. “Derived categories and zero-brane stability.” Journal of High Energy Physics, vol. 5, no. 8, Jan. 2001, pp. 1–26. Scopus, doi:10.1088/1126-6708/2001/08/004.
Aspinwall PS, Lawrence A. Derived categories and zero-brane stability. Journal of High Energy Physics. 2001 Jan 1;5(8):1–26.
Journal cover image

Published In

Journal of High Energy Physics

DOI

ISSN

1029-8479

Publication Date

January 1, 2001

Volume

5

Issue

8

Start / End Page

1 / 26

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics