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Leston, M.; Santillan, O.P. "Complete Calabi-Yau metrics from Kahler metrics in D=4" (2010) Physical Review D - Particles, Fields, Gravitation and Cosmology. 82(8)
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Abstract:

In the present work, a family of Calabi-Yau manifolds with a local Hamiltonian Killing vector is described in terms of a nonlinear equation whose solutions determine the local form of the geometries. The main assumptions are that the complex (3, 0)-form is of the form eikΨ̄, where Ψ̄ is preserved by the Killing vector, and that the space of the orbits of the Killing vector is, for fixed value of the momentum map coordinate, a complex 4-manifold, in such a way that the complex structure of the 4-manifold is part of the complex structure of the complex 3-fold. The family considered here include the ones considered in A. Fayyazuddin, Classical Quantum GravityCQGRDG0264-9381 24, 3151 (2007)10.1088/0264-9381/24/13/002; O.P. Santillan, Classical Quantum GravityCQGRDG0264-9381 27, 155013 (2010)10.1088/0264-9381/27/15/155013; H. Lu, Y. Pang, and Z. Wang, Classical Quantum GravityCQGRDG0264-9381 27, 155018 (2010)10.1088/0264-9381/27/15/155018 as a particular case. We also present an explicit example with holonomy exactly SU(3) by use of the linearization introduced in A. Fayyazuddin, Classical Quantum GravityCQGRDG0264-9381 24, 3151 (2007)10.1088/0264-9381/24/13/002, which was considered in the context of D6 branes wrapping a complex 1-cycle in a hyperkahler 2-fold. © 2010 The American Physical Society.

Registro:

Documento: Artículo
Título:Complete Calabi-Yau metrics from Kahler metrics in D=4
Autor:Leston, M.; Santillan, O.P.
Filiación:Instituto de Astronomia y Fisica Del Espacio (IAFE), Buenos Aires, Argentina Casilla de Correo 67 - Suc. 28, C1428ZAA Ciudad Autónoma de Buenos Aires, Argentina
Departamento de Matematica, FCEyN, Buenos Aires - 2010 Ciudad Universitaria, Pabellón I - (C1428EGA), Buenos Aires, Argentina
Año:2010
Volumen:82
Número:8
DOI: http://dx.doi.org/10.1103/PhysRevD.82.085004
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v82_n8_p_Leston

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Citas:

---------- APA ----------
Leston, M. & Santillan, O.P. (2010) . Complete Calabi-Yau metrics from Kahler metrics in D=4. Physical Review D - Particles, Fields, Gravitation and Cosmology, 82(8).
http://dx.doi.org/10.1103/PhysRevD.82.085004
---------- CHICAGO ----------
Leston, M., Santillan, O.P. "Complete Calabi-Yau metrics from Kahler metrics in D=4" . Physical Review D - Particles, Fields, Gravitation and Cosmology 82, no. 8 (2010).
http://dx.doi.org/10.1103/PhysRevD.82.085004
---------- MLA ----------
Leston, M., Santillan, O.P. "Complete Calabi-Yau metrics from Kahler metrics in D=4" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 82, no. 8, 2010.
http://dx.doi.org/10.1103/PhysRevD.82.085004
---------- VANCOUVER ----------
Leston, M., Santillan, O.P. Complete Calabi-Yau metrics from Kahler metrics in D=4. Phys Rev D Part Fields Gravit Cosmol. 2010;82(8).
http://dx.doi.org/10.1103/PhysRevD.82.085004