Published May 19, 2006
| Version v1
Journal article
On local Calabi-Yau supermanifolds and their mirrors
- 1. Virtual African Center for Basic Sciences and Technology (VACBT), Groupement National de Physique des Hautes Energies (GNPHE), Faculte des Sciences, Rabat (Morocco)
- 2. Lab/UFR de Physique des Hautes Energies, Faculte des Sciences, Rabat (Morocco)
- 3. Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Ave., Ottawa, ON, K1N 6N5 (Canada)
Description
We use local mirror symmetry to study a class of local Calabi-Yau supermanifolds with bosonic sub-variety Vb having a vanishing first Chern class. Solving the usual super-CY condition, requiring the equality of the total U(1) gauge charges of bosons Φb and the ghost-like fields Ψf one Σbqb = ΣfQf, as Σbqb = 0 and ΣfQf = 0, several examples are studied and explicit results are given for local Ar supergeometries. A comment on purely fermionic super-CY manifolds corresponding to the special case where qb = 0, for all b and ΣfQf 0 is also made
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/5965/a6_20_022.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/5965/a6_20_022.pdf;
- DOI
- 10.1088/0305-4470/39/20/022;
- PII
- S0305-4470(06)18359-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 20
- Journal Page Range
- p. 5965-5977
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051042
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOSONS; MATHEMATICAL MANIFOLDS; MIRRORS; SYMMETRY; U-1 GROUPS
- Descriptors DEC
- LIE GROUPS; SYMMETRY GROUPS; U GROUPS