An Effective superstring spectral action
May, 199731 pages
Published in:
- Phys.Rev.D 56 (1997) 3555-3567
e-Print:
- hep-th/9705153 [hep-th]
Report number:
- ETH-TH-97-16
Citations per year
Abstract:
A supersymmetric theory in two-dimensions has enough data to define a noncommutative space thus making it possible to use all the tools of noncommutative geometry. In particular, we apply this to the N=1 supersymmetric non-linear sigma model and derive an expression for the generalized loop space Dirac operator, in presence of a general background, using canonical quantization. The spectral action principle is used to show that the superstring partition function is also a spectral action valid for the fluctuations of the string modes.Note:
- 31 pages, Latex file Report-no: ETH-TH/97-16
- 02.40.-k
- 04.62.+v
- 11.10.Ef
- 11.30.Pb
- quantum mechanics
- sigma model: nonlinear
- string model
- supersymmetry
- effective action
- quantization
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