Skip to Main content Skip to Navigation
Journal articles

One-Loop BPS amplitudes as BPS-state sums

Abstract : Recently, we introduced a new procedure for computing a class of one-loop BPS-saturated amplitudes in String Theory, which expresses them as a sum of one-loop contributions of all perturbative BPS states in a manifestly T-duality invariant fashion. In this paper, we extend this procedure to all BPS-saturated amplitudes of the form \int_F \Gamma_{d+k,d} {\Phi}, with {\Phi} being a weak (almost) holomorphic modular form of weight -k/2. We use the fact that any such {\Phi} can be expressed as a linear combination of certain absolutely convergent Poincaré series, against which the fundamental domain F can be unfolded. The resulting BPS-state sum neatly exhibits the singularities of the amplitude at points of gauge symmetry enhancement. We illustrate our method with concrete examples of interest in heterotic string compactifications.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00678471
Contributor : Boris Pioline Connect in order to contact the contributor
Submitted on : Tuesday, March 13, 2012 - 9:57:00 AM
Last modification on : Tuesday, November 16, 2021 - 5:02:20 AM

Links full text

Identifiers

Citation

Carlo Angelantonj, Ioannis Florakis, Boris Pioline. One-Loop BPS amplitudes as BPS-state sums. Journal of High Energy Physics, Springer, 2012, 6, pp.070. ⟨10.1007/JHEP06(2012)070⟩. ⟨hal-00678471⟩

Share

Metrics

Les métriques sont temporairement indisponibles