| 1. |
- Carbone, Lisa, et al.
(författare)
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Generators and relations for (generalised) Cartan type superalgebras
- 2019
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Ingår i: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 1194:1
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Konferensbidrag (refereegranskat)abstract
- In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, A(n-1,0) = s (1|n) can be constructed by adding a "gray" node to the Dynkin diagram of An-1 = s (n), corresponding to an odd null root. The Cartan superalgebras constitute a difierent class, where the simplest example is Wpnq, the derivation algebra of the Grassmann algebra on n generators. Here we present a novel construction of Wpnq, from the same Dynkin diagram as A(n-1,0), but with additional generators and relations.
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| 2. |
- Cederwall, Martin, 1961
(författare)
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AdS Twistors for Higher Spin Theory
- 2004
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Ingår i: AIP Conference Proceedings. - : AIP. - 1551-7616 .- 0094-243X. - 9780735402522 ; 767, s. 96-105
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Konferensbidrag (refereegranskat)abstract
- We construct spectra of supersymmetric higher spin theories in D = 4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing the spin-shell constraints on twistor space gives an infinite tower of massless states of a "higher spin particle", generalizing previous work of Bandos et al.. This can generically be done in a number of ways, each defining the states of a distinct higher spin theory, and the method provides a systematic way of finding these. We reproduce known results in D = 4, minimal supersymmetric 5- and 7-dimensional models, as well as supersymmetrisations of Vasiliev's Sp-models as special cases. In the latter models a dimensional enhancement takes place, meaning that the theory lives on a space of higher dimension than the original AdS space, and becomes a theory of doubletons. This talk was presented at the XIX-th Max Born Symposium "Fundamental Interactions and Twistor-Like Methods", September 2004, in Wrocław, Poland.
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| 3. |
- Cederwall, Martin, 1961
(författare)
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Algebraic structures in exceptional geometry
- 2018
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Ingår i: Springer Proceedings in Mathematics and Statistics. - Singapore : Springer Singapore. - 2194-1017 .- 2194-1009. ; 255:2018, s. 31-41
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Konferensbidrag (refereegranskat)abstract
- Exceptional field theory (EFT) gives a geometric underpinning of the U-duality symmetries of M-theory. In this talk I give an overview of the surprisingly rich algebraic structures which naturally appear in the context of EFT. This includes Borcherds superalgebras, Cartan type superalgebras (tensor hierarchy algebras) and L∞ algebras. This is the written version of a talk based mainly on refs. [1-6], presented at ISQS25, Prague, June 2017, at QTS-10/LT-12, Varna, June 2017, at SQS 2017, Dubna, Aug. 2017, and at the 9th Mathematical Physics Meeting, Belgrade, Sept. 2017.
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| 4. |
- Cederwall, Martin, 1961
(författare)
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Aspects of D-brane actions
- 1996
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Ingår i: Nucl.Phys.Proc.Suppl.56B:61-69,1997.
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Konferensbidrag (refereegranskat)abstract
- A couple of issues concerning the effective dynamics of D-branes in string theory are discussed. Primarily, I am concerned with linearization of the actions by introduction of non-propagating fields and a full super- and kappa-symmetric description of D-branes.
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| 5. |
- Cederwall, Martin, 1961
(författare)
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From supergeometry to pure spinors
- 2010
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Ingår i: Proceedings of 6th Mathematical Physics Meeting, Belgrade. - 9788682441304
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Konferensbidrag (refereegranskat)abstract
- In this talk, we review how the superspace formulation of maximallysupersymmetric field theories (including supergravity) naturally leads tointroduction of pure spinors and pure spinor superfields, and why the formalismprovides off-shell formulations. This approach to pure spinor superfields thusstresses field-theoretic aspects rather than the first-quantised ones normallyused e.g. in superstring theory. We discuss how the BRST operator arises andthe principles behind constructions of actions, as well as the generalBatalin-Vilkovisky framework. D=11 supergravity and its recently constructedsupersymmetric action are taken as an example throughout the talk. This is thewritten version of a lecture given at the 6th Mathematical Physics Meeting,Belgrade, September 2010.
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| 6. |
- Cederwall, Martin, 1961
(författare)
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Fundamental issues in extended geometry
- 2016
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Ingår i: Proceedings of the 8th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics, Belgrade, 24—31.08.2014. - 9788682441434 ; , s. 33-41
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Konferensbidrag (refereegranskat)abstract
- This talk gives the basics of extended geometry, with a focus on the gauge trans- formations, the generalised diffeomorphisms. Some global issues are discussed. I also go into some detail about how the formalism can be made to allow for a geometric derivation of discrete duality transformations and of monodromies for non-geometric field configurations.
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| 7. |
- Cederwall, Martin, 1961, et al.
(författare)
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Generalised 11-Dimensional Supergravity
- 2000
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Ingår i: proceedings of the Triangle Meeting ``Non-perturbative Methods in Field and String Theory'', NORDITA, Copenhagen, June 19-22, 2000, and the International Conference ``Quantization, Gauge Theory and Strings'' in memory of Efim Fradkin, Moscow, June 5-10, 2000..
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Konferensbidrag (refereegranskat)
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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, et al.
(författare)
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L∞ algebras for extended geometry
- 2019
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Ingår i: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 1194:1
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Konferensbidrag (refereegranskat)abstract
- Extended geometry provides a unified framework for double geometry, exceptional geometry, etc., i.e., for the geometrisations of the string theory and M-theory dualities. In this talk, we will explain the structure of gauge transformations (generalised diffeomorphisms) in these models. They are generically infinitely reducible, and arise as derived brackets from an underlying Borcherds superalgebra or tensor hierarchy algebra. The infinite reducibility gives rise to an L∞structure, the brackets of which have universal expressions in terms of the underlying superalgebra.
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| 10. |
- Cederwall, Martin, 1961
(författare)
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M-branes on U-folds
- 2007
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Ingår i: Proceedings of the 7th International Workshop "Supersymmetries and Quantum Symmetries", Dubna, July 30-August 4, 2007. ; , s. 8-
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Konferensbidrag (refereegranskat)abstract
- We give a preliminary discussion of howthe addition of extra coordinates in M-theory, which together with theoriginal ones parametrise a U-fold, can serve as a tool forformulating brane dynamics with manifest U-duality. The redundantdegrees of freedom are removed by generalised self-duality constraintsor calibration conditions made possible by the algebraic structure ofU-duality.
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