Partition Function and Spectrum
We have seen in Subsect. 5.3.4 that the only modular invariant lattices in sixteen dimensions are those of E8×E8 and SO(32), while the ten dimensional spacetime part is independently modular invariant. But if we relax this condition such that it is modular invariant in the entire 26 dimensions, we have a more general theory. One fruitful result was the discovery of SO(16)×SO(16) heterotic string without supersymmetry , but its applicability is much more profound. This leads to a huge class of orbifold models which we discuss in this book. Furthermore, taking into account the right movers also, we can have a more general modular invariance, leading to the asymmetric orbifold.
KeywordsPartition Function Conjugacy Class Wilson Line Theta Function Shift Vector
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- 4.A. Font and S. Theisen, Introduction to String Compactification, Lectures given at Villa de Leyva, Colombia.Google Scholar
- 5.D. Mumford, “Tata Lectures on Theta, vol. I, II, III,” in Progress in Mathematics, Vol. 28 (1984) (Birkhäuser, Boston-Basel-Stuttgart, 1983), based on lectures given at TIFR during Oct., 1978 and Mar., 1979. E.T. Whittaker and G. N. Watson, “A Course of Modern Analysis”, 4th ed., Cambridge, 1927.Google Scholar