Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-20
Physics
High Energy Physics
High Energy Physics - Theory
29 pages
Scientific paper
In this paper we construct a special geometry over the moduli space of type II string vacua with both NS and RR fluxes turning on. Depending on what fluxes are turning on we divide into three cases of moduli space of generalized structures. They are respectively generalized Calabi-Yau structures, generalized Calabi-Yau metric structures and ${\cal N} =1$ generalized string vacua. It is found that the $d d^{\cal J}$ lemma can be established for all three cases. With the help of the $d d^{\cal J}$ lemma we identify the moduli space locally as a subspace of $d_{H}$ cohomologies. This leads naturally to the special geometry of the moduli space. It has a flat symplectic structure and a K$\ddot{\rm a}$hler metric with the Hitchin functional (modified if RR fluxes are included) the K$\ddot{\rm a}$hler potential. Our work is based on previous works of Hitchin and recent works of Gra$\tilde{\rm n}$a-Louis-Waldram, Goto, Gualtieri, Yi Li and Tomasiello. The special geometry is useful in flux compactifications of type II string theories.
Hou Boyu
Hu Sen
Yang Yanhong
No associations
LandOfFree
On special geometry of the moduli space of string vacua with fluxes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On special geometry of the moduli space of string vacua with fluxes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On special geometry of the moduli space of string vacua with fluxes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-371320