Discrete gauge symmetry and Aharonov-Bohm radiation in string theory

Abstract

We investigate cosmological constraints on phenomenological models with discrete gauge symmetries by discussing the radiation of standard model particles from Aharonov-Bohm strings. Using intersecting D-brane models in Type IIA string theory, we demonstrate that Aharonov-Bohm radiation, when combined with cosmological observations, imposes constraints on the compactification scales.

Radiation of supersymmetric particles from Aharonov-Bohm R-string

“…In section 2, we briefly review the universal effective Lagrangian of Z p gauge theory, and show a relationship between AB strings/particles and the discrete gauge theory. Then, we summarize the results of calculations on the power of the AB radiation shown in [15][16][17]. In section 3, we impose a cosmological constraint arising from the observed dark matter density.…”

“…The interaction between the AB particle and the massive gauge field can be simply understood as 4D A ∧ * 4 J . 3 Now we are ready to review the total power of radiated particles from Aharonov-Bohm strings studied initially in [17]. Basically, exploiting the analysis of [15,16], one can evaluate the radiation power since in the present situation, radiated particles are massive but much lighter than the scale of the string tension.…”

“…Hence, we simple apply the formulae in [15,16] for a cuspy loop to the current analysis. Also, as in the previous work [17], since we are interested in order estimation of cosmological constraints arising from the AB radiation, we will not carefully treat order one coefficients of the formulae.…”

“…For an example, see appendix in [17]. R-strings formed in compactifying Type IIA string theory were discussed.…”

“…In [17], based on the remarkable progress of the AB radiation, one of the authors studied cosmological constraints arising from the Big Bang Nucleosynthesis and the diffuse γ-ray background. Especially, in string theory such constraints are viable, and some of…”