| 1. |
- Cederwall, Martin, 1961, et al.
(författare)
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Higher-dimensional loop algebras, non-abelian extensions and p-branes
- 1994
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Ingår i: Nucl.Phys.B424 (1994) 97.
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Tidskriftsartikel (refereegranskat)abstract
- We postulate a new type of operator algebra with a non-abelian extension. This algebra generalizes the Kac-Moody algebra in string theory and the Mickelsson-Faddeev algebra in three dimensions to higher-dimensional extended objects (p-branes). We then construct new BRST operators, covariant derivatives and curvature tensors in the higher-dimensional generalization of loop space.
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| 2. |
- Cederwall, Martin, 1961, et al.
(författare)
-
Low energy dynamics of monopoles in N=2 SYM with matter
- 1995
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Ingår i: Mod.Phys.Lett. A11 (1996) 367.
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Tidskriftsartikel (refereegranskat)abstract
- We derive, for N=2 super-Yang-Mills with gauge group SU(2) and massless matter, the supersymmetric quantum mechanical models describing the time evolution of multi-monopole configurations in the low energy approximation. This is a first step towards identifying the solitonic states mapped to fundamental excitations by duality in the model with four hypermultiplets in the fundamental representation.
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| 3. |
- Cederwall, Martin, 1961, et al.
(författare)
-
Schwinger terms and cohomology of pseudodifferential operators
- 1994
-
Ingår i: Commun.Math.Phys. 175 (1996) 203.
-
Tidskriftsartikel (refereegranskat)abstract
- We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger term is equivalent to the ``twisted'' Radul cocycle, a modified version of the Radul cocycle arising in non-commutative differential geometry. In the process we also show how the ordinary Radul cocycle for any pair of pseudodifferential operators in any dimension can be written as the phase space integral of the star commutator of their symbols projected to the appropriate asymptotic component.
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