Branes and the Swampland

Abstract

Completeness of the spectrum of charged branes in a quantum theory of gravity naturally motivates the question of whether consistency of what lives on the branes can be used to explain some of the Swampland conditions. In this paper we focus on consistency of what lives on string probes, to show some of the theories with $\mathcal{N}=(1,0)$ supersymmetry in 10d and 6d, which are otherwise consistent looking, belong to the Swampland. Gravitational and gauge group anomaly inflow on these probes can be used to compute the gravitational central charges $(c_L,c_R)$ as well as the level of the group's current algebra $k_L$. The fact that the left-moving central charge on the string probes should be large enough to allow {\it unitary} representations of the current algebra with a given level, can be used to rule out some theories. This in particular explains why it has not been possible to construct the corresponding theories from string theory.

9 pages

References in corpus (11)

• Symmetries and Strings in Field Theory and Gravity
• The Swampland: Introduction and Review
• Weak Gravity Conjecture from Unitarity and Causality
• Global aspects of the space of 6D N = 1 supergravities
• Positivity of Curvature-Squared Corrections in Gravity
• 6D supergravity without tensor multiplets
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• 6d strings from new chiral gauge theories
• Generic matter representations in 6D supergravity theories
• Large U(1) charges in F-theory
• SCFTs, Holography, and Topological Strings

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