Supersymmetric field theory with benign ghosts

Smilga, Andrei

doi:10.1088/1751-8113/47/5/052001

Cited by 34 publications

(37 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From these expressions, it immediately follows that the first component B 1 of the Bach tensor is directly observed in the transverse components of the acceleration (246) along e (2) , e (3) , that is ∂ x , ∂ y (equivalent to ∂ θ , ∂ φ ), while the second component B 2 only occurs in the radial component (245) along e (1) = −u (∂ u + H ∂ r ) = −H Ω u ∂r, proportional to ∂r. Interestingly, on the horizon there is only the radial effect given by B 2 (r h ) since B 1 (r h ) = 0 due to (27) and (19), see also (108).…”

Section: Geodesic Deviation In the Schwarzschild-bach Black Hole Spacmentioning

confidence: 98%

“…To obtain physically measurable information about the relative motion, we have to choose an orthonormal frame {e (0) , e (1) , e (2) , e (3) } such that e (a) · e (b) = η ab , where the time-like vector e (0) = u is observer's 4-velocity. Projecting the equation of geodesic deviation onto this frame we obtain…”

Section: Interpreting Solutions To Quadratic Gravity Using Geodesic Dmentioning

confidence: 99%

See 1 more Smart Citation

Black holes and other exact spherical solutions in quadratic gravity

et al. 2020

View full text Add to dashboard Cite

We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at a much simpler form of the field equations in comparison with their expression in the standard spherically symmetric coordinates. We present details of the derivation of this compact form of two ordinary differential field equations for two metric functions. Next, we apply analytical methods and express their solutions as infinite power series expansions. We systematically derive all possible cases admitted by such an ansatz, arriving at six main classes of solutions, and provide recurrent formulas for all the series coefficients. These results allow us to identify the classes containing the Schwarzschild black hole as a special case. It turns out that one class contains only the Schwarzschild black hole, three classes admit the Schwarzschild solution as a special subcase, and two classes are not compatible with the Schwarzschild solution at all since they have strictly nonzero Bach tensor. In our analysis, we naturally focus on the classes containing the Schwarzschild spacetime, in particular on a new family of the Schwarzschild-Bach black holes which possesses one additional non-Schwarzschild parameter corresponding to the value of the Bach tensor invariant on the horizon. We study its geometrical and physical properties, such as basic thermodynamical quantities and tidal effects on free test particles induced by the presence of the Bach tensor. We also compare our results with previous findings in the literature obtained using the standard spherically symmetric coordinates.

show abstract

Section: Geodesic Deviation In the Schwarzschild-bach Black Hole Spacmentioning

confidence: 98%

Section: Interpreting Solutions To Quadratic Gravity Using Geodesic Dmentioning

confidence: 99%

Black holes and other exact spherical solutions in quadratic gravity

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Although unphysical ghosts, in general, violate unitarity and thus the probabilistic interpretation of quantum theory, there are some arguments that reinforce the idea that this is not a severe problem, as showed in [3]. In this case there are theories with ghosts but that preserve unitarity [4].…”

Section: Introductionmentioning

confidence: 99%

New Electrically Charged Black Hole in Higher Derivative Gravity

et al. 2017

View full text Add to dashboard Cite

show abstract

“…In supersymmetric theories, ghosts may not be fatal [11]. In fact in four dimensions, gravity extended with quadratic curvature invariants was shown to be renormalizabe [12,13].…”

Section: Introductionmentioning

confidence: 99%

Higher-derivative gravity with non-minimally coupled Maxwell field

Feng

Lü

2016

Eur. Phys. J. C

View full text Add to dashboard Cite

We construct higher-derivative gravities with a non-minimally coupled Maxwell field. The Lagrangian consists of polynomial invariants built from the Riemann tensor and the Maxwell field strength in such a way that the equations of motion are second order for both the metric and the Maxwell potential. We also generalize the construction to involve a generic non-minimally coupled p-form field strength. We then focus on one low-lying example in four dimensions and construct the exact magnetically charged black holes. We also construct exact electrically charged z = 2 Lifshitz black holes. We obtain approximate dyonic black holes for the small coupling constant or small charges. We find that the thermodynamics based on the Wald formalism disagrees with that derived from the Euclidean action procedure, suggesting this may be a general situation in higher-derivative gravities with non-minimally coupled form fields. As an application in the AdS/CFT correspondence, we study the entropy/viscosity ratio for the AdS or Lifshitz planar black holes, and find that the exact ratio can be obtained without having to know the details of the solutions, even for this higher-derivative theory.

show abstract

Supersymmetric field theory with benign ghosts

Abstract: We construct a supersymmetric 1+1 -dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded from below, neither from above. In spite of that, there is neither classical, nor quantum collapse and unitarity is preserved.

Cited by 34 publications

References 39 publications

Black holes and other exact spherical solutions in quadratic gravity

Black holes and other exact spherical solutions in quadratic gravity

New Electrically Charged Black Hole in Higher Derivative Gravity

Higher-derivative gravity with non-minimally coupled Maxwell field

Contact Info

Product

Resources

About