The Lorentz Anomaly via Operator Product Expansion
@article{Fredenhagen2014TheLA, title={The Lorentz Anomaly via Operator Product Expansion}, author={Stefan Fredenhagen and Jens Hoppe and Mariusz Hynek}, journal={Journal of Mathematical Physics}, year={2014}, volume={56}, pages={102302} }
The emergence of a critical dimension is one of the most striking features of string theory. One way to obtain it is by demanding closure of the Lorentz algebra in the light-cone gauge quantisation, as discovered for bosonic strings more than forty years ago. We give a detailed derivation of this classical result based on the operator product expansion on the Lorentzian world-sheet.
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References
SHOWING 1-9 OF 9 REFERENCES
Lectures on string theory
- Physics
- 1989
This book provides an introduction to string theory, at present one of the fastest-growing areas in theoretical high-energy physics. It introduces modern techniques and concepts, such as conformal…
A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory
- Physics
- 2011
We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which…
M-brane dynamical symmetry and quantization
- Physics
- 2011
The recently discovered dynamical symmetry for relativistic extended objects is derived from first principles, and analogues commutators are obtained for the corresponding formal quantum expressions