Abstract:In any gravitational theory and in a wide class of background space-times, we argue that there exists a simple, yet profound, relation between the on-shell Euclidean gravitational action and the on-shell Euclidean action of probes. The probes can be, for instance, charged particles or branes. The relation is tightly related to the thermodynamic nature of gravity. We provide precise checks of the relation in several examples, which include both asymptotically flat and asymptotically AdS space-times, with partic… Show more
“…Finally, there exists a worrying interpretation of the Smarr relation (3.3), explained in [128], which states that the total energy equals the on-shell probe brane actions [125,146]. In our case, the right hand side of (3.3) equals exactly the on-shell Wess-Zumino term since the DBI term is absent.…”
Section: Anti-brane Backreaction Inside Extra Dimensionsmentioning
We present a brief overview of attempts to construct de Sitter vacua in string theory and explain how the results of this 20-year endeavor could point to the fact that string theory harbours no de Sitter vacua at all. Making such a statement is often considered controversial and "bad news for string theory". We discuss how perhaps the opposite can be true.2 An interesting light-version of a review on dark energy in string theory can be found in [27] 3 See also [34].
“…Finally, there exists a worrying interpretation of the Smarr relation (3.3), explained in [128], which states that the total energy equals the on-shell probe brane actions [125,146]. In our case, the right hand side of (3.3) equals exactly the on-shell Wess-Zumino term since the DBI term is absent.…”
Section: Anti-brane Backreaction Inside Extra Dimensionsmentioning
We present a brief overview of attempts to construct de Sitter vacua in string theory and explain how the results of this 20-year endeavor could point to the fact that string theory harbours no de Sitter vacua at all. Making such a statement is often considered controversial and "bad news for string theory". We discuss how perhaps the opposite can be true.2 An interesting light-version of a review on dark energy in string theory can be found in [27] 3 See also [34].
“…(We follow Seiberg and Witten and work in Euclidean signature, converting to Lorentzian signature at the end of the computation. In fact the Euclidean version of the condition we study has a deep interpretation in terms of the internal mathematical consistency of string theory on asymptotically hyperbolic manifolds: see [32][33][34][35]. )…”
Section: The Seiberg-witten Stability Criterionmentioning
We show that cosmic censorship takes an exceptionally complex and interesting form in the case of five-dimensional AdS-Kerr black holes, due to the unusually distant relation obtaining in that case between the black hole parameters and the physical mass and angular momentum. One finds that, in this case, censorship is less restrictive than one might hope: it apparently allows some rather bizarre behaviour, and in particular does not prohibit arbitrarily large angular momenta. We find however that most of the unwelcome geometries permitted by censorship can be eliminated by requiring stability against pairproduction of branes. We suggest that the small set of surviving problematic cases can be eliminated in a natural way by imposing a certain (holographic) bound on the physical mass.
“…The latter we obtain from the Smarr-like relations found in [21,32,49] (see also [52]), that relate the energy E (above the supersymmetric vacuum), to the values of the gauge fields at the sources:…”
We investigate p D6 branes inside a flux throat that carries K × M D6 charges with K the 3-form flux quantum and M the Romans mass. In such a setup brane-flux annihilation can proceed through the nucleation of KK5 branes. We find that within the calculable supergravity regime where g s p is large, the D6 branes annihilate immediately against the fluxes despite the existence of a metastable state at small p/M in the probe approximation. The crucial property that causes this naive conflict with effective field theory is a singularity in the 3-form flux, which we cut off at string scale. Our result explains the absence of regular solutions at finite temperature and suggests there should be a smooth time-dependent solution. We also discuss the qualitative differences between D6 branes and D3 branes, which makes it a priori not obvious to conclude the same instability for D3 branes.
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