Gaugino Condensation and Geometry of the Perfect Square

Abstract

Gaugino condensation plays a crucial role in the formation of dS vacua. However, the theory of this effect is still incomplete. In 4d the perfect square nature of gaugino couplings follows from the square of auxiliaries in the supergravity action. We explain here why the supersymmetric non-Abelian Dp-brane action, which is the basis for the theory of 10d gaugino condensation, must have a 4-gaugino coupling. This term in the Einstein-Yang-Mills 10d supergravity is a part of the perfect square, mixing a 3-form with gaugino bilinear. The perfect square term follows from the superspace geometry, being a square of the superspace torsion. The supercovariant equation of motion for gaugino on the non-Abelian Dp-brane also involves a supertorsion in agreement with the perfect square term in the action.

arXiv comment6p

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• Catalytic Creation of Baby Bubble Universe with Small Positive Cosmological Constant
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• Smearing and Unsmearing KKLT AdS Vacua
• String Landscape and Fermion Masses
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Lectures on Naturalness, String Landscape and Multiverse
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• Toward an Effective Theory of the Volume Modulus
• Supersymmetric Horizons at the Edge of Effective Field Theory
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