A Caltech Library Service

Geometry of N = 1 dualities in four dimensions

Ooguri, Hirosi and Vafa, Cumrun (1997) Geometry of N = 1 dualities in four dimensions. Nuclear Physics B, 500 (1-3). pp. 62-74. ISSN 0550-3213. doi:10.1016/S0550-3213(97)00304-0.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We discuss how N = 1 dualities in four dimensions are geometrically realized by wrapping D-branes about 3-cycles of Calabi-Yau threefolds. In this setup the N = 1 dualities for SU, SO and USp gauge groups with fundamental fields get mapped to statements about the monodromy and relations among 3-cycles of Calabi-Yau threefolds. The connection between the theory and its dual requires passing through configurations which are T-dual to the well-known phenomenon of decay of BPS states in N = 2 field theories in four dimensions. We compare our approach to recent works based on configurations of D-branes in the presence of NS 5-branes and give simple classical geometric derivations of various exotic dynamics involving D-branes ending on NS branes.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1997 Elsevier. Received 5 March 1997, Accepted 28 April 1997. We thank O. Aharony, M. Douglas, K. Hori, P. Mayr, Y. Oz, N. Seiberg, M. Strassler and S.-T. Yau for valuable discussions. In addition we wish to thank Physics Department of Rutgers University for the hospitality. The work of H.O. is supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. The work of C.V. is supported in part by NSF grant PHY-92-18167.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC03-76SF00098
Issue or Number:1-3
Record Number:CaltechAUTHORS:20161220-132709721
Persistent URL:
Official Citation:Hirosi Ooguri, Cumrun Vafa, Geometry of N = 1 dualities in four dimensions, Nuclear Physics B, Volume 500, Issues 1–3, 1 September 1997, Pages 62-74, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72993
Deposited By: George Porter
Deposited On:20 Dec 2016 22:11
Last Modified:11 Nov 2021 05:09

Repository Staff Only: item control page