| 1. |
- Cagnazzo, Alessandra, et al.
(författare)
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Spectra of sigma models on semi-symmetric spaces
- 2016
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Ingår i: Nuclear Physics B. - : Elsevier. - 0550-3213 .- 1873-1562. ; 906, s. 342-366
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Tidskriftsartikel (refereegranskat)abstract
- Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate fermionic Wess-Zumino term. We determine the full one-loop dilation operator of the theory. It involves an interesting new XXZ-like interaction term. Eigenvalues of our dilation operator, i.e. the one-loop anomalous dimensions, are computed for a few examples.
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| 2. |
- Alekseev, AY, et al.
(författare)
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Brane dynamics in background fluxes and non-commutative geometry
- 2000
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Ingår i: JOURNAL OF HIGH ENERGY PHYSICS. - : EDITRICE COMPOSITORI BOLOGNA. - 1029-8479. ; 2000:5, s. U188-U212
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Tidskriftsartikel (refereegranskat)abstract
- Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an
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| 3. |
- ALEKSEEV, AY, et al.
(författare)
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COMBINATORIAL QUANTIZATION OF THE HAMILTONIAN CHERN-SIMONS THEORY .1.
- 1995
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Ingår i: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - : SPRINGER VERLAG. - 0010-3616. ; 172:2, s. 317-358
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Motivated by a recent paper of Fock and Rosly [6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chem-Simons theory on the lattice which is expected to reproduce the results of the continuous the
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| 4. |
- Alekseev, AY, et al.
(författare)
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Combinatorial quantization of the Hamiltonian Chern-Simons theory .2.
- 1996
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Ingår i: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - : SPRINGER VERLAG. ; 174:3, s. 561-604
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- This paper further develops the combinatorial approach to quantization of the Hamiltonian Chern Simons theory advertised in [1]. Using the theory of quantum Wilson lines, we show how the Verlinde algebra appears within the context of quantum group gauge t
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| 5. |
- Alekseev, AY, et al.
(författare)
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D-branes in the WZW model - art. no. 061901.
- 1999
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Ingår i: PHYSICAL REVIEW D. - 0556-2821. ; 6006:6, s. 1901-
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- It is stated in the literature that D-branes in the Wess-Zumino-Witten (WZW) model associated with the gluing condition J= -(J) over bar along the boundary correspond to branes filling out the whole group volume. We show instead that the end points of ope
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| 6. |
- Alekseev, AY, et al.
(författare)
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Generalization of the Knizhnik-Zamolodchikov equations
- 1997
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Ingår i: LETTERS IN MATHEMATICAL PHYSICS. - : KLUWER ACADEMIC PUBL. - 0377-9017. ; 41:2, s. 169-180
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- In this Letter, we introduce a generalization of the Knizhnik-Zamolodchikov equations from affine Lie algebras to a wide class of conformal field theories (not necessarily rational). The new equations describe correlations functions of primary fields and
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| 7. |
- Alekseev, AY, et al.
(författare)
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Representation theory of lattice current algebras
- 1998
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Ingår i: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - : SPRINGER VERLAG. - 0010-3616. ; 191:1, s. 31-60
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Lattice current algebras were introduced as a regularization of the left-and right moving degrees of freedom in the WZNW model. They provide examples of lattice theories with a local quantum symmetry U-q(G). Their representation theory is studied in detai
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| 8. |
- Andrei, N., et al.
(författare)
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Boundary and defect CFT : open problems and applications
- 2020
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Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP PUBLISHING LTD. - 1751-8113 .- 1751-8121. ; 53:45
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Forskningsöversikt (refereegranskat)abstract
- A review of Boundary and defect conformal field theory: open problems and applications, following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7-8 Sept. 2017. We attempt to provide a broad, bird's-eye view of the latest progress in boundary and defect conformal field theory in various sub-fields of theoretical physics, including the renormalization group, integrability, conformal bootstrap, topological field theory, supersymmetry, holographic duality, and more. We also discuss open questions and promising research directions in each of these sub-fields, and combinations thereof.
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| 9. |
- Schomerus, V, et al.
(författare)
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Open strings and noncommutative geometry of branes on group manifolds
- 2001
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Ingår i: MODERN PHYSICS LETTERS A. - : WORLD SCIENTIFIC PUBL CO PTE LTD. - 0217-7323. ; 16:4-6, s. 325-335 Language: English
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Tidskriftsartikel (refereegranskat)abstract
- In this letter we review some recent work on the noncommutative geometry of branes on group manifolds. In particular, we show how fuzzy spaces arise in this context from an exact worldsheet description and we sketch the construction of a low-energy effect
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