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Open access
Date
2019-01Type
- Journal Article
Abstract
Any two dimensional quantum field theory that can be consistently defined on a torus is invariant under modular transformations. In this paper we study families of quantum field theories labeled by a dimensionful parameter t, that have the additional property that the energy of a state at finite t is a function only of t and of the energy and momentum of the corresponding state at t = 0, where the theory becomes conformal. We show that under this requirement, the partition sum of the theory at t = 0 uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in t, to be that of a TT̄ deformed CFT. Non-perturbatively, we find that for one sign of t (for which the energies are real) the partition sum is uniquely determined, while for the other sign we find non-perturbative ambiguities. We characterize these ambiguities and comment on their possible relations to holography. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000318599Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Conformal Field Theory; Effective Field Theories; Field Theories in Lower DimensionsOrganisational unit
03896 - Beisert, Niklas / Beisert, Niklas
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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