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Nonsingular deformations of singular compactifications, the cosmological constant, and the hierarchy problem

Alan Chodos·Erich Poppitz·Dimitrios Tsimpis
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Abstract

We consider deformations of the singular "global cosmic string" compactifications, known to naturally generate exponentially large scales. The deformations are obtained by allowing a constant curvature metric on the brane and correspond to a choice of integration constant. We show that there exists a unique value of the integration constant that gives rise to a nonsingular solution. The metric on the brane is dS_4 with an exponentially small value of expansion parameter. We derive an upper bound on the brane cosmological constant. We find and investigate more general singular solutions---``dilatonic global string" compactifications---and show that they can have nonsingular deformations. We give an embedding of these solutions in type IIB supergravity. There is only one class of supersymmetry-preserving singular dilatonic solutions. We show that they do not have nonsingular deformations of the type considered here.

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Alan Chodos, Erich Poppitz, Dimitrios Tsimpis. 2000-07-27. Nonsingular deformations of singular compactifications, the cosmological constant, and the hierarchy problem. https://doi.org/10.1088/0264-9381%2F17%2F18%2F319

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