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Solitons in Seiberg-Witten theory and D-branes in the derived category

Paul S. Aspinwall1 and Robert L. Karp1

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We analyze the ``geometric engineering'' limit of a type II string on a suitable Calabi-Yau threefold to obtain an N = 2 pure SU(2) gauge theory. The derived category picture together with Π-stability of B-branes beautifully reproduces the known spectrum of BPS solitons in this case in a very explicit way. Much of the analysis is particularly easy since it can be reduced to questions about the derived category of Bbb P1.


Keywords

Solitons Monopoles and Instantons

Brane Dynamics in Gauge Theories

D-branes

 

E-print Number: hep-th/0211121

Cited: by |

Refers: to

PACS

11.10.Lm Nonlinear or nonlocal theories and models

11.25.Wx String and brane phenomenology

11.30.Ly Other internal and higher symmetries

11.25.Uv D branes

MSC

14J32 Calabi-Yau manifolds, mirror symmetry

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

Subjects

Particle physics and field theory

Dates

Issue 04 (April 2003)

Received 29 January 2003, accepted for publication 28 April 2003

Published 11 June 2003



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