On Calabi-Yau supermanifolds

Roček, Martin; Wadhwa, Neal

Adv. Theor. Math. Phys., Tome 9 (2005) no. 2, p. 315-320 / Harvested from Project Euclid

Résumé

We prove that a Kähler supermetric on a supermanifold with one complex fermionic dimension admits a super Ricci-flat supermetric, if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yau’s theorem does not hold for supermanifolds.

Publié le : 2005-04-14
Classification: 32Q25, 32C11

@article{1143663720,
     author = {Ro\v cek, Martin and Wadhwa, Neal},
     title = {On Calabi-Yau supermanifolds},
     journal = {Adv. Theor. Math. Phys.},
     volume = {9},
     number = {2},
     year = {2005},
     pages = { 315-320},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143663720}
}

Roček, Martin; Wadhwa, Neal. On Calabi-Yau supermanifolds. Adv. Theor. Math. Phys., Tome 9 (2005) no. 2, pp.  315-320. http://gdmltest.u-ga.fr/item/1143663720/