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Twisted modular forms and Atkin-Lehner symmetries


A new “stringy” symmetry leading to zero cosmological constant to one loop is introduced. The partition function is a modular function which gets multiplied by a certain group character under modular transformations. The elementary fact that the sum over group elements of any nontrivial character is zero gives the desired result. The relationship of this symmetry with Moore's Atkin-Lehner transformations, as well as with Gross and Mende's analysis of anomalous heterotic strings is clarified. General classes of two dimensional models are also investigated.

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Álvarez, E., Osorio, M.A.R. Twisted modular forms and Atkin-Lehner symmetries. Z. Phys. C - Particles and Fields 44, 89–96 (1989).

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  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Partition Function
  • Cosmological Constant