Compactification of the heterotic pure spinor superstring II
Chandia
O
author
Linch
W
D
author
Vallilo
B
C
author
2011
English
We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.
Superstrings and Heterotic Strings
Superstring Vacua
WOS:000296917300023
exported from refbase (show.php?record=180), last updated on Fri, 19 Jun 2015 10:02:31 -0300
text
files/176_Chandia_etal2011.pdf
10.1007/JHEP10(2011)098
Chandia_etal2011
Journal Of High Energy Physics
J. High Energy Phys.
2011
Springer
continuing
periodical
academic journal
10
22 pp
1029-8479