Duality and Decay of Macroscopic F-Strings
arXiv:1304.1155 · doi:10.1103/PhysRevLett.111.041601
Abstract
We study the decay of fundamental string loops of arbitrary size L/min(n,m)>>\sqrt{α'}, labelled by (n,m;λ_n,\barλ_m), where n,m correspond to left- and right-mover harmonics and λ_n,\barλ_m to polarisation tensors, and find that a description in terms of the recent coherent vertex operator construction of Hindmarsh and Skliros is computationally very efficient. We primarily show that the decay rates and mass shifts of vertex operators (n,m;λ_n,\barλ_m) and their "duals" (n,m;λ_n,\barλ_m^*) are equal to leading order in the string coupling, implying for instance that decay rates of epicycloids equal those of hypocycloids. We then compute the power and decay rates associated to massless IR radiation for the trajectory (1,1;λ_1,\barλ_1), and find that it is precisely reproduced by the low energy effective theory of Dabholkar and Harvey. Guided by this correspondence, we conjecture the result for arbitrary trajectories (n,m;λ_n,\barλ_m) and discover a curious relation between gravitational and axion plus dilaton radiation. It is now possible to start exploring string evolution in regimes where a low energy effective description is less useful, such as in the vicinity of cusps.
5 pages
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