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Edward Witten - Solutions Of Four-Dimensional Field Theories Via M Theory.pdf

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Edward Witten - Solutions Of Four-Dimensional Field Theories Via M Theory.pdf

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Edward Witten - Solutions Of Four-Dimensional Field Theories Via M Theory.pdf

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文档介绍:arXiv:hep-th/9703166 v1 24 Mar 1997
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ac 1997 March
OUIN FFU-IESOA FIELD FOUR-DIMENSIONAL OF SOLUTIONS
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eerhspotdi atb S rn PHY-9513835. Grant NSF by part in supported Research
colo aua cecs nttt o dacdStudy Advanced for Institute Sciences, Natural of School
HOISVIA THEORIES
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le ae rneo,N 84,USA 08540, NJ Princeton, Lane, Olden
dadWitten Edward
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e-h9016 IASSNS-HEP-97-19 hep-th/9703166,
THEORY
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1. Introduction
Many interesting results about field theory and string theory have been obtained by
studying the quantum field theories that appear on the world-volume of string theory
and M theory branes. One particular construction that was considered recently in 2 + 1
dimensions [1] and has been further explored in [2] and applied to N = 1 models in four
dimensions in [3] will be used in the present paper to understand the Coulomb branch of
some N = 2 models in four dimensions. The aim is to obtain for a wide class of four-
dimensional gauge theories with N = 2 supersymmetry the sort of description obtained in
[4] for models with SU(2) gauge group.
v
x 6
Figure
P arallel
v ebranes
v ertical lines
with threebranes susp ended b et w een them

horizon tal lines
as considered in
The construction in [1] involved branes of Type IIB superstring theory – to be more
precise the Dirichlet threebranes and the solitonic and Dirichlet fivebranes. One considers,
for ex