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<p>Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane’s scalar charge-to-tension ratio vector −∇ log <i>T</i> has a fixed length, then the gradient flow induced by the logarithm of the brane’s tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.</p>

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Geodesic gradient flows in moduli space

  • 期刊论文

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  • 发表日期：

    2025年3月6日

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  • Muldrow Etheredge,
  • Ben Heidenreich

摘要

Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane’s scalar charge-to-tension ratio vector −∇ log T has a fixed length, then the gradient flow induced by the logarithm of the brane’s tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.