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Effective Lagrangians for (0+1) and (1+1) dimensionally reduced versions of D=4 N=2 SYM theory

Abstract : We consider dimensionally reduced versions of N=2 four- dimensional supersymmetric Yang-Mills theory and determine the one-loop effective Lagrangians associated with the motion over the corresponding moduli spaces. In the (0+1) case, the effective Lagrangian describes an N=4 supersymmetric quantum mechanics of the Diaconescu--Entin type. In (1+1) dimensions, the effective Lagrangian represents a twisted N=4 supesymmetric sigma model due to Gates, Hull, and Rocek. We discuss the genetic relationship between these two models and present the explicit results for all gauge groups.
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http://hal.in2p3.fr/in2p3-00025922
Contributor : Dominique Girod <>
Submitted on : Tuesday, April 11, 2006 - 1:52:15 PM
Last modification on : Thursday, February 7, 2019 - 4:12:41 PM

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A.V. Smilga. Effective Lagrangians for (0+1) and (1+1) dimensionally reduced versions of D=4 N=2 SYM theory. Nuclear Physics B, Elsevier, 2003, 652, pp.93-104. ⟨10.1016/S0550-3213(03)00038-5⟩. ⟨in2p3-00025922⟩

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