Abstract
We study the mass of the stable non-BPS state in type I / heterotic string theory compactified on a circle with the help of the interpolation formula between weak and strong coupling results. Comparison between the results at different orders indicate that this procedure can determine the mass of the particle to within 10% accuracy over the entire two dimensional moduli space parametrized by the string coupling and the radius of compactification. This allows us to estimate the region of the stability of the particle in this two dimensional moduli space. Outside this region the particle is unstable against decay into three BPS states carrying the same total charge as the original state. We discuss generalization of this analysis to compactification on higher dimensional tori.
Highlights
Normalization conventions and tree level resultsWe shall use the normalization conventions used in [2]. The purpose of this section will be to review these conventions and introduce the extra conventions involving the radius of compactification
JHEP06(2014)068 this in the context of SO(32) heterotic/type I string theory compactified on a circle
We study the mass of the stable non-BPS state in type I/heterotic string theory compactified on a circle with the help of the interpolation formula between weak and strong coupling results
Summary
We shall use the normalization conventions used in [2]. The purpose of this section will be to review these conventions and introduce the extra conventions involving the radius of compactification. Upon compactification on a circle the tree level masses will continue to be given by (2.3) if we measure it in the canonical metric in ten dimensions. We shall argue that the weak coupling expansion at fixed rH of the full function. In the strong coupling expsnsion should approach finite values given by the results in the non-compact theory. The coefficients bk, determined in terms of the coefficients B for k ≤ n, should approach finite values in this limit This shows that the expansion of bk in powers of g at fixed rH contains non-negative powers of g.
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