5D black holes and strings with higher derivatives (original) (raw)

Black Holes and Strings with Higher Derivatives

2007

We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D CalabiYau black holes, and discuss the relation to previous results. March, 2007 1 aycastro@umich.edu 2 davis@physics.ucla.edu 3 pkraus@ucla.edu 4 larsenf@umich.edu

Five-dimensional black holes in heterotic string theory

Fortschritte der Physik, 2008

We review recent results on near-horizon static black hole solutions and entropy in R 2 -corrected N = 2 SUGRA in D = 5, focusing on actions connected to heterotic string compactified on K3×S 1 . Comparison with α ′ -perturbative results, results obtained by using simple Gauss-Bonnet R 2 -correction, OSV conjecture and microscopic stringy description (for small black holes) shows that situation in D = 5 is, in a sense, even more interesting then in D = 4.

Five dimensional non-supersymmetric black holes and strings

Journal of High Energy Physics, 2009

We study non-supersymmetric solutions of five dimensional N = 2 supergravity theories coupled to an arbitrary number of abelian vector multiplets. The solutions constructed can be considered as deformations of known supersymmetric black hole and string solutions. General constraints coming from the analysis of the equations of motion are derived. These represent explicit conditions on the charges of the black holes and strings. The constraints are analyzed for theories where the scalar manifolds are symmetric spaces and explicit solutions are constructed in cases where the prepotential of the theory factorizes into a linear and a quadratic term.

String Theory Effects on Five-Dimensional Black Hole Physics

International Journal of Modern Physics A, 2008

We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined by anomaly cancellation and supersymmetry. We introduce the off-shell formulation of this theory obtained through the conformal supergravity method and review the methods for investigating supersymmetric solutions. This leads to quantum/string corrected attractor geometries, as well as asymptotically flat black strings and spinning black holes. With these solutions in hand, we compare our results with analogous studies in four-dimensional string-corrected supergravity, emphasizing the distinctions between the four and five dimensional theories.

Non-Abelian, supersymmetric black holes and strings in 5 dimensions

Journal of High Energy Physics, 2016

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N = 1, d = 5 supergravity (N = 1, d = 5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes and BPS monopoles of different kinds ('t Hooft-Polyakov, Wu-Yang and Protogenov) for black strings and also for certain black holes that are well defined solutions only for very specific values of all the moduli. Instantons, as well as colored monopoles do not contribute to the masses and tensions but do contribute to the entropies. The construction is based on the characterization of the supersymmetric solutions of gauged N = 1, d = 5 supergravity coupled to vector multiplets achieved in ref. [1] which we elaborate upon by finding the rules to construct supersymmetric solutions with one additional isometry, both for the timelike and null classes. These rules automatically connect the timelike and null non-Abelian supersymmetric solutions of N = 1, d = 5 SEYM theory with the timelike ones of N = 2, d = 4 SEYM theory [2, 3] by dimensional reduction and oxidation. In the timelike-to-timelike case the singular Kronheimer reduction recently studied in ref. [4] plays a crucial role.

Higher-order black-hole solutions in N=2 supergravity and Calabi-Yau string backgrounds

Physics Letters B, 1998

Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and the higher-order black-hole solutions can be expressed in terms of symplectic Sp(2n+2) vectors. We apply the formalism to N=2 type-IIA Calabi-Yau string compactifications and compare our results to recent related results in the literature.

Black holes in five-dimensional gauged supergravity with higher derivatives

Journal of High Energy Physics, 2009

We examine five-dimensional N = 2 gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of R 2 , and were originally obtained in hep-th/0611329 using conformal supergravity techniques. Here we integrate out the auxiliary fields and obtain the on-shell action for minimal supergravity with such corrections. We then construct R-charged AdS black holes to linear order in the four deriva-

5D black holes and matrix strings

Nuclear Physics B, 1997

We derive the world-volume theory, the (non)-extremal entropy and background geometry of black holes and black strings constructed out of the NS IIA fivebrane within the framework of matrix theory. The CFT description of strings propagating in the black hole geometry arises as an effective field theory. * Here we in fact mean the strong coupling limit of the SYM model, which was shown in [5, 6, 7] to correspond to the limit of weakly interacting strings.

Non-extreme black holes of five-dimensional N = 2 AdS supergravity

Nuclear Physics B, 1999

We derive and analyse the full set of equations of motion for non-extreme static black holes (including examples with the spatial curvatures k = −1 and k = 0) in D=5 N =2 gauged supergravity by employing the techniques of "very special geometry". These solutions turn out to differ from those in the ungauged supergravity only in the non-extremality function, which has an additional term (proportional to the gauge coupling g), responsible for the appearance of naked singularities in the BPS-saturated limit. We derive an explicit solution for the ST U model of gauged supergravity which is incidentally also a solution of D=5 N =4 and N =8 gauged supergravity. This solution is specified by three charges, the asymptotic negative cosmological constant (minimum of the potential) and a non-extremality parameter. While its BPS-saturated limit has a naked singularity, we find a lower bound on the non-extremality parameter (or equivalently on the ADM mass) for which the non-extreme solutions are regular. When this bound is saturated the extreme (non-supersymmetric) solution has zero Hawking temperature and finite entropy. Analogous qualitative features are expected to emerge for black hole solutions in D = 4 gauged supergravity as well. a behrndt@physik.hu-berlin.de

Supersymmetry of black strings inD=5gauged supergravities

Physical Review D, 2000

Supersymmetry of five dimensional string solutions is examined in the context of gauged D = 5, N = 2 supergravity coupled to abelian vector multiplets. We find magnetic black strings preserving one quarter of supersymmetry and approaching the half-supersymmetric product space AdS 3 × H 2 near the event horizon. The solutions thus exhibit the phenomenon of supersymmetry enhancement near the horizon, like in the cases of ungauged supergravity theories, where the near horizon limit is fully supersymmetric. Finally, product space compactifications are studied in detail, and it is shown that only for negative curvature (hyperbolic) internal spaces, some amount of supersymmetry can be preserved. Among other solutions, we find that the extremal rotating BTZ black hole tensored by H 2 preserves one quarter of supersymmetry.