Abstract
In String Gas Cosmology, the simplest shape modulus fields are naturally stabilized by taking into account the presence of string winding and momentum modes. We determine the resulting effective potential for these fields and show that it obeys the de Sitter conjecture, one of the swampland criteria for effective field theories to be consistent with superstring theory.
Highlights
In recent years there has been a lot of interest in constraints on low energy effective field theories which can emerge from superstring theory
The distance conjecture [3] states that an effective field theory of a canonically normalized scalar field φ is only consistent with string theory if the field range φ is smaller than c1m pl, where m pl is the four space-time dimensional Planck mass, and c1 is a constant of order one
We have studied shape modulus stabilization using in the context of string gas cosmology, and have seen that the effective potential for this modulus field is consistent with the swampland constraints
Summary
In recent years there has been a lot of interest in constraints on low energy effective field theories which can emerge from superstring theory. All scalar fields appearing in a low energy effective action are moduli fields of the string compactification, e.g. the radii and shape parameters of extra dimensions Their potentials are determined by string theory. The starting point was the String Gas Cosmology model [8] (see [9] for earlier work, and [10] for reviews), in which matter is described by a gas of strings including both momentum and winding modes, and is coupled to a background space-time It is known [11,12,13,14] that the radion modulus is stabilized by the presence of both winding and momentum modes. We set the string length equal to 1 in our units
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