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Quantum covariant c-map 
Auteur(s): Alexandrov S.
(Article) Publié:
Journal Of High Energy Physics, vol. 0705 p.094 (2007)
Texte intégral en Openaccess : 
Ref HAL: in2p3-00134331_v1
Ref Arxiv: hep-th/0702203
DOI: 10.1088/1126-6708/2007/05/094
WoS: 000247030800094
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
24 Citations
Résumé: We generalize the results of hep-th/0701214 about the covariant c-map to include the perturbative quantum corrections. We also perform explicitly the superconformal quotient from the hyperkahler cone obtained by the quantum c-map to the quaternion-Kahler space, which is the moduli space of hypermultiplets. As a result, the perturbatively corrected metric on the moduli space is found in a simplified form comparing to the expression known in the literature.
Commentaires: 15 pages
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Instantons from quaternionic geometry
Auteur(s): Alexandrov S.
Conférence invité: "Affine Hecke algebras, the Langlands program, conformal field theory and matrix models (Lumini, FR, 2006-07-03)
Ref HAL: hal-00285448_v1
Exporter : BibTex | endNote
Résumé: We determine the one-instanton corrections to the universal hypermultiplet moduli space coming both from Euclidean membranes and NS-fivebranes wrapping the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely encoded by a single function characterizing a generic four-dimensional quaternion-Kahler metric without isometries. We give explicit solutions for this function describing all one-instanton corrections, including the fluctuations around the instanton to all orders in the string coupling constant. In the semi-classical limit these results are in perfect agreement with previous supergravity calculations.
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Plebanski Theory and Covariant Canonical Formulation
Auteur(s): Alexandrov S., Buffenoir E., Roche P.
(Article) Publié:
Classical And Quantum Gravity, vol. 24 p.2809-2824 (2007)
Texte intégral en Openaccess :
Ref HAL: in2p3-00134335_v1
Ref Arxiv: gr-qc/0612071
DOI: 10.1088/0264-9381/24/11/003
WoS: 000246688400005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
27 Citations
Résumé: We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general relativity and the covariant canonical formulation of the Hilbert-Palatini action. This is done by comparing the symplectic structures of the two theories through the computation of Dirac brackets. We also construct a shifted connection with simplified Dirac brackets, playing an important role in the covariant loop quantization program, in the Plebanski framework. Implications for spin foam models are also discussed.
Commentaires: 18 pages
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Membrane and fivebrane instantons from quaternionic geometry
Auteur(s): Alexandrov S., Saueressig F., Vandoren S.
(Article) Publié:
Journal Of High Energy Physics, vol. 0609 p.040 (2006)
Texte intégral en Openaccess :
Ref HAL: in2p3-00134337_v1
Ref Arxiv: hep-th/0606259
DOI: 10.1088/1126-6708/2006/09/040
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé: We determine the one-instanton corrections to the universal hypermultiplet moduli space coming both from Euclidean membranes and NS-fivebranes wrapping the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely encoded by a single function characterizing a generic four-dimensional quaternion-Kahler metric without isometries. We give explicit solutions for this function describing all one-instanton corrections, including the fluctuations around the instanton to all orders in the string coupling constant. In the semi-classical limit these results are in perfect agreement with previous supergravity calculations.
Commentaires: 32 pages
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