## Superpotentials for quiver gauge theories

Publication
, Journal Article

Aspinwall, PS; Fidkowski, LM

Published in: Journal of High Energy Physics

October 1, 2006

We compute superpotentials for quiver gauge theories arising from marginal D-Brane decay on collapsed del Pezzo cycles S in a Calabi-Yau X. This is done using the machinery of A∞ products in the derived category of coherent sheaves of X, which in turn is related to the derived category of S and quiver path algebras. We confirm that the superpotential is what one might have guessed from analyzing the moduli space, i.e., it is linear in the fields corresponding to the Ext2s of the quiver and that each such Ext 2 multiplies a polynomial in Ext1s equal to precisely the relation represented by the Ext2. © SISSA 2006.

### Duke Scholars

## Published In

Journal of High Energy Physics

## DOI

## EISSN

1029-8479

## ISSN

1029-8479

## Publication Date

October 1, 2006

## Volume

2006

## Issue

10

## 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

APA

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ICMJE

MLA

NLM

Aspinwall, P. S., & Fidkowski, L. M. (2006). Superpotentials for quiver gauge theories.

*Journal of High Energy Physics*,*2006*(10). https://doi.org/10.1088/1126-6708/2006/10/047Aspinwall, P. S., and L. M. Fidkowski. “Superpotentials for quiver gauge theories.”

*Journal of High Energy Physics*2006, no. 10 (October 1, 2006). https://doi.org/10.1088/1126-6708/2006/10/047.Aspinwall PS, Fidkowski LM. Superpotentials for quiver gauge theories. Journal of High Energy Physics. 2006 Oct 1;2006(10).

Aspinwall, P. S., and L. M. Fidkowski. “Superpotentials for quiver gauge theories.”

*Journal of High Energy Physics*, vol. 2006, no. 10, Oct. 2006.*Scopus*, doi:10.1088/1126-6708/2006/10/047.Aspinwall PS, Fidkowski LM. Superpotentials for quiver gauge theories. Journal of High Energy Physics. 2006 Oct 1;2006(10).

## Published In

Journal of High Energy Physics

## DOI

## EISSN

1029-8479

## ISSN

1029-8479

## Publication Date

October 1, 2006

## Volume

2006

## Issue

10

## 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