1209.6351 (Marco Matone)

Finite Strings From Non-Chiral Mumford Forms    [PDF]

Marco Matone

We show that there is an infinite class of partition functions with world-sheet metric, space-time coordinates and first order systems, that correspond to volume forms on the moduli space of Riemann surfaces and are free of singularities at the Deligne-Mumford boundary. An example is the partition function with 4=2(c_2+c_3+c_4-c_5) space-time coordinates, two $b$-$c$ systems of weight 3 and 4, and a beta-gamma system of weight 5. Such partition functions are derived from Z_{g,n}, the non-chiral extension of the Mumford forms introduced in arXiv:1209.6049. A key point is the proof of the strict positivity of K_n(\tau_2^{-1}).

View original: http://arxiv.org/abs/1209.6351