Dimensional reduction, Seiberg-Witten map, and supersymmetry
نویسندگان
چکیده
منابع مشابه
Seiberg-Witten map and topology
The mapping of topologically nontrivial gauge transformations in noncommutative gauge theory to corresponding commutative ones is investigated via the operator form of the Seiberg-Witten map. The role of the gauge transformation part of the map is analyzed. Chern-Simons actions are examined and the correspondence to their commutative counterparts is clarified. On leave from Theoretical Physics ...
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1 The Seiberg-Witten Monopoles 2 §1.1 Spinc structures and Dirac operators on 3-manifolds. . . . . . . . . . . . . . . . . . . 2 §1.2 The Seiberg-Witten equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 §1.3 Some concrete computations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 §1.3.1 A vanishing result . . . . . . . . . . . . . . . . . . . . . . . . ...
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A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how a Seiberg-Witten map acts in such a framework. As a specific example, we consider a noncommutative...
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We present several results concerning non-commutative instantons and the Seiberg–Witten map. Using a simple ansatz we find a large new class of instanton solutions in arbitrary even dimensional non-commutative Yang–Mills theory. These include the two dimensional “shift operator” solutions and the four dimensional Nekrasov–Schwarz instantons as special cases. We also study how the Seiberg–Witten...
متن کاملExact Seiberg-Witten Map and Induced Gravity from Noncommutativity
We find a closed form for Seiberg-Witten (SW) map between ordinary and noncommutative (NC) Dirac-Born-Infeld actions. We show that NC Maxwell action after the exact SW map can be regarded as ordinary Maxwell action coupling to a metric deformed by gauge fields. We also show that reversed procedure by inverse SW map leads to a similar interpretation in terms of induced NC geometry. This implies ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2007
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.75.085009