Dimitri P. Skliros, Edmund J. Copeland, Paul M. Saffin
We study the decay of a string of arbitrary length L>>\sqrt{\alpha'}, labelled by (n,m;\lambda_n,\bar{\lambda}_m), where n,m correspond to left- and right-mover harmonics and \lambda_n,\bar{\lambda}_m to polarisation tensors. Using the recent coherent vertex operator construction of Hindmarsh and Skliros, we show that the decay rates and mass shifts of vertex operators (n,m;\lambda_n,\bar{\lambda}_m) and their "duals" (n,m;\lambda_n,\bar{\lambda}_m^*) are equal to leading order in the string coupling, implying for instance that decay rates of epicycloids equal those of hypocycloids. We compute the power and decay rate associated to massless IR radiation for the trajectory (1,1;\lambda_1,\bar{\lambda}_1) and its dual, and find that it is precisely reproduced by the macroscopic string effective theory of Dabholkar and Harvey. Guided by this correspondence, we conjecture the result for arbitrary trajectories (n,m;\lambda_n,\bar{\lambda}_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.
View original:
http://arxiv.org/abs/1304.1155
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