Published November 26, 2014 | Version v1
Journal article

Killing forms and toric Sasaki-Einstein spaces

  • 1. Department of Mathematics, University of Craiova, Str. Al.I. Cuza, Nr. 13, Craiova 200585 (Romania)
  • 2. Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, Magurele, PO Box M.G.-6 (Romania)
  • 3. Department of Mathematical Modelling, Economic Analysis and Statistics, Petroleum-Gas University of Ploieşti, Bulevardul Bucureşti, Nr. 39, Ploiesti, 100680 (Romania)

Description

The construction of the special Killing forms on toric Sasaki-Einstein manifolds is presented. This goal is achieved using the interplay between complex coordinates of the Calabi-Yau metric cone and the special Killing forms on the toric Sasaki-Einstein space. As a concrete example, we present the complete set of special Killing forms on the five-dimensional Einstein-Sasaki Yp,q spaces. It is pointed out the existence of two additional special Killing forms associated with the complex holomorphic volume form of Calabi-Yau cone manifold

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/563/1/012033

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
563
Journal Issue
1
Journal Page Range
[9 p.]
ISSN
1742-6596

Conference

Title
22. International Conference on Integrable Systems and Quantum Symmetries
Acronym
ISQS-22
Dates
23-29 Jun 2014
Place
Prague (Czech Republic)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47025518
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CONES; COORDINATES; MATHEMATICAL MANIFOLDS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; METRICS
Descriptors DEC
SPACE