States of Negative Energy and
arXiv:0803.3801 · doi:10.1088/1126-6708/2008/05/069
Abstract
We develop a careful definition of energy for nonsupersymmetric warped product asymptotically solutions which include a nonzero p-form. In the case of an electric p-form extending along all the AdS directions, and in particular in the case of self-dual fields like those used in the Freund-Rubin construction, the Hamiltonian is well defined only if a particular asymptotic gauge for the p-form is used. Rather surprisingly, asymptotically this gauge is time dependent, despite the fact the field and metric are not. We then consider a freely orbifolded and demonstrate that the standard boundary conditions allow states of arbitrarily negative energy. The states consist of time symmetric initial data describing bubbles that are regular up to singularities due to smeared D3-branes. We discuss the evolution of this data and point out that if the usual boundary conditions are enforced such bubbles may never reach infinity.
arXiv comment33 pages, 1 figure, v2: minor corrections, added reference
References in corpus (29)
- 4d Conformal Field Theories and Strings on Orbifolds
- On Conformal Theories in Four Dimensions
- Asymptotically Anti-de Sitter Space-times: Conserved Quantities
- Don't Panic! Closed String Tachyons in ALE Spacetimes
- Casimir Effect Between World-Branes in Heterotic M-Theory
- Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
- Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
- Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
- Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
- Designer Gravity and Field Theory Effective Potentials
- Kaluza-Klein Holography
- The dual of nothing
- Perturbative Search for Fixed Lines in Large N Gauge Theories
- A Non-supersymmetric Large N CFT from Type 0 String Theory
- The Role of Dipole Charges in Black Hole Thermodynamics
- Anatomy of bubbling solutions
- Nonperturbative Instability of AdS_5 x S^5/Z_k
- Perturbative Gauge Theory and Closed String Tachyons
- Energy Bounds in Designer Gravity
- Closed String Tachyons, AdS/CFT, and Large N QCD
- Orbifolds of AdS_5xS^5 and 4d Conformal Field Theories
- Bubbles in Anti-de Sitter Space
- Constant Curvature Black Hole and Dual Field Theory
- Stability in Designer Gravity
- Closed Strings Tachyons and Non-Commutative Instabilities
- A tale of two superpotentials: Stability and Instability in Designer Gravity
- Much Ado About Nothing
- No naked singularities in homogeneous, spherically symmetric bubble spacetimes?
- Bubbles Unbound II: AdS and the Single Bubble