| 1. |
- Bandos, Igor, et al.
(författare)
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Towards a complete twistorization of the heterotic string
- 1994
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Ingår i: Mod.Phys.Lett.A9 (1994) 2987.
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Tidskriftsartikel (refereegranskat)abstract
- In D=3,4,6 and 10 space-time dimensions considered is a string model invariant under transformations of N=1 space-time supersymmetry and n=D-2 local worldsheet supersymmetry with the both Virasoro constraints solved in the twistor form. The twistor solution survives in a modified form even in the presence of the heterotic fermions.
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| 2. |
- Brink, Lars, 1943, et al.
(författare)
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N=8 superconformal algebra and the superstring
- 1993
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Ingår i: Phys.Lett.B311 (1993) 76.
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Tidskriftsartikel (refereegranskat)abstract
- The superstring in D=3,4 and 6 is invariant under an N=D-2 superconformal algebra based on S^{D-3}. There is a direct relationship between this (world-sheet) symmetry and the super-Poincaré (target space) symmetry. We establish this relationship using the light-cone gauge, show how the statement generalizes to D=10 and examine the properties of the N=8 superconformal algebra and the possible implications of its existence.
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| 3. |
- Cederwall, Martin, 1961
(författare)
-
A note on the relation between different forms of superparticle dynamics
- 1993
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Ingår i: Mod.Phys.Lett. A9 (1994) 967.
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Tidskriftsartikel (refereegranskat)abstract
- A formulation of D=10 superparticle dynamics is given that contain space-time and twistor variables. The set of constraints is entirely first class, and gauge conditions may be imposed that reduces the system to a Casalbuoni-Brink-Schwarz superparticle, a spinning particle or a twistor particle.
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| 4. |
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| 5. |
- Cederwall, Martin, 1961
(författare)
-
Bidivision algebra spinors in D=10 Minkowski geometry
- 1991
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Some geometrical properties of spinors in ten-dimensional Minkowski spaceare analysed, and are demonstrated to generalise the concept ofpure spinors to bi-division algebra spinors. In a unified treatment,they are shown to transform under orthogonal extensions ofthe algebra of space rotations and to be subjected to certainpurity constraints.
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| 6. |
- Cederwall, Martin, 1961
(författare)
-
E7 as D=10 space-time symmetry: Origin of the twistor transform
- 1992
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Ingår i: Phys.Lett.B302 (1993) 189.
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Tidskriftsartikel (refereegranskat)abstract
- Massless particle dynamics in D=10 Minkowski space is given an E7-covariant formulation, including both space-time and twistor variables. E7 contains the conformal algebra as a subalgebra. Analogous constructions apply to D=3,4 and 6.
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| 7. |
- Cederwall, Martin, 1961, et al.
(författare)
-
Higher-dimensional loop algebras, non-abelian extensions and p-branes
- 1994
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Ingår i: Nucl.Phys.B424 (1994) 97.
-
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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| 8. |
- Cederwall, Martin, 1961
(författare)
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Introduction to division algebras, sphere algebras and twistors
- 1993
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Ingår i: http://arXiv.org/abs/hep-th/9310115.
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- A very basic introduction is given to the roles of division algebras and the related sphere algebras concerning the structure of space-time in the dimensionalities D=3,4,6 and 10, with special emphasis on twistors transformations for light-likeness conditions and Hopf maps, together with some outlook for particle and string theory.
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| 9. |
- Cederwall, Martin, 1961
(författare)
-
Octonionic particles and the S7 symmetry
- 1992
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Ingår i: J.Math.Phys.33 (1992) 388.
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Tidskriftsartikel (refereegranskat)abstract
- A manifestly Lorentz covariant quantization scheme for (super) particles in ten dimensions is given, using octonionic twistor variables, also applying to D=3, 4, and 6. The field-dependent gauge algebra for the twistor variables is (a superextension of) the seven-sphere. A BRS treatment of this symmetry is performed. Comments are made on conformal invariance and the topology of twistor space.
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| 10. |
- Cederwall, Martin, 1961, et al.
(författare)
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Quaternionic superconformal field theory
- 1992
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Ingår i: Nucl.Phys.B403 (1993) 238.
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Tidskriftsartikel (refereegranskat)abstract
- We develop a superfield formalism for N=4 superconformal two-dimensional field theory. A list is presented of minimal free superfields, i.e. of multiplets containing four bosons and four fermions. We show that the super-Poincaré algebra of the six-dimensional superstring in the light-cone gauge is essentially equivalent to a local N=4 superconformal symmetry, and outline the construction of octonionic superconformal field theory.
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