Special geometry of Euclidean supersymmetry III: The local r-map, instantons and black holes

Journal of High Energy Physics

Volumn 2009, Issue 7, 2009, Pages

  Cortés, Vicente ^a   Mohaupt, Thomas ^b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Black Holes in String Theory; Differential and Algebraic Geometry; Extended Supersymmetry; Solitons Monopoles and Instantons

Indexed keywords

EID: 70350075760     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/07/066     Document Type: Article

References (55)

1. V. Cortés, C. Mayer, T. Mohaupt and F. Saueressig, 2004 Special geometry of Euclidean supersymmetry. I: vector multiplets J. High Energy Phys. JHEP03(2004)028 [hep-th/0312001]
2. V. Cortés, C. Mayer, T. Mohaupt and F. Saueressig, 2005 Special geometry of Euclidean supersymmetry. II: hypermultiplets and the c-map J. High Energy Phys. JHEP06(2005)025 [hep-th/0503094]
3. B. de Wit and A. Van Proeyen, 1984 Potentials and Symmetries of General Gauged N=2 Supergravity: yang-Mills Models, Nucl. Phys. B 245 89
4. B. de Wit, P.G. Lauwers and A. Van Proeyen, 1985 Lagrangians of N=2 Supergravity-Matter Systems, Nucl. Phys. B 255 569
5. T. Mohaupt, 2008 Instanton solutions for Euclidean N=2 vector multiplets, Fortschr. Phys. 56 480
6. E. Bergshoeff, W. Chemissany, A. Ploegh, M. Trigiante and T. Van Riet, 2009 Generating Geodesic Flows and Supergravity Solutions, Nucl. Phys. B 812 343 [0806.2310]
7. K. Behrndt, I. Gaida, D. Lüst, S. Mahapatra and T. Mohaupt, 1997 From type IIA black holes to T-dual type IIB D-instantons in N=2, D=4 supergravity, Nucl. Phys. B 508 659 [hep-th/9706096]
8. M. Gutperle and M. Spalinski, 2000 Supergravity instantons and the universal hypermultiplet J. High Energy Phys. JHEP06(2000)037 [hep-th/0005068]
9. M. Gutperle and M. Spalinski, 2001 Supergravity instantons for N=2 hypermultiplets, Nucl. Phys. B 598 509 [hep-th/0010192]
10. U. Theis and S. Vandoren, 2002 Instantons in the double-tensor multiplet J. High Energy Phys. JHEP09(2002)059 [hep-th/0208145]
11. M. Davidse, M. de Vroome, U. Theis and S. Vandoren, 2004 Instanton solutions for the universal hypermultiplet, Fortsch. Phys. 52 696 [hep-th/0309220]
12. M. de Vroome and S. Vandoren, 2007 Supergravity description of spacetime instantons, Class. Quant. Grav. 24 509 [hep-th/0607055]
13. M. Chiodaroli and M. Gutperle, Instantons and Wormholes in N=2 supergravity, [0901.1616]
14. D.V. Alekseevsky, V. Cortés and C. Devchand, 2002 Special complex manifolds, J. Geom. Phys. 42 85 [math/9910091]
15. M. Günaydin, G. Sierra and P.K. Townsend, 1984 The Geometry of N=2 Maxwell-Einstein Supergravity and Jordan Algebras, Nucl. Phys. B 242 244
16. D.V. Alekseevsky, V. Cortés, C. Devchand and A. Van Proeyen, 2003 Flows on quaternionic-Kähler and very special real manifolds, Commun. Math. Phys. 238 525 [hep-th/0109094]
17. B. de Wit, V. Kaplunovsky, J. Louis and D. Lüst, 1995 Perturbative couplings of vector multiplets in N=2 heterotic string vacua, Nucl. Phys. B 451 53 [hep-th/9504006]
18. 2 interactions J. High Energy Phys. JHEP12(2000)019 [hep-th/0009234]
19. T. Mohaupt, 2001 Black hole entropy, special geometry and strings, http://www3.interscience.wiley.com/journal/76510882/abstract Fortsch. Phys. 49 3 [hep-th/0007195]
20. B. de Wit, 1984 Introduction to supersymmetry, in Supersymmetry and Supergravity '84, B. de Wit, P. Fayet and P. van Nieuwenhuizen eds., World Scientific, Singapore
21. T. Mohaupt, From Special Geometry to Black Hole Partition Functions, lecture notes, contributed to the Proceedings of the 3rd School on Attractor Mechanism (SAM 2007), Frascati, Italy, June 18-22 2007, [0812.4239]
22. A. Strominger, 1990 Special geometry, Commun. Math. Phys. 133 163
23. L. Castellani, R. D'Auria and S. Ferrara, 1990 Special geometry without special coordinates, Class. Quant. Grav. 7 1767
24. B. Craps, F. Roose, W. Troost and A. Van Proeyen, 1997 What is special Kähler geometry?, Nucl. Phys. B 503 565 [hep-th/9703082]
25. L. Andrianopoli et al., 1997 N = 2 supergravity and N=2 super Yang-Mills theory on general scalar manifolds: symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 111 [hep-th/9605032]
26. G. Neugebauer and D. Kramer, 1969 Eine Methode zur Konstruktion stationärer Einstein-Maxwell-Felder, Ann. Phys. (Leipzig) 24 253
27. P. Breitenlohner, D. Maison and G. Gibbons, 1988 4-dimensional black holes from Kaluza-Klein theories, Commun. Math. Phys. 120 253
28. G. Clement and D.V. Gal'tsov, 1996 Stationary BPS solutions to dilaton-axion gravity, Phys. Rev. D 54 6136 [hep-th/9607043]
29. D.V. Gal'tsov and O.A. Rytchkov, 1998 Generating branes via σ-models, Phys. Rev. D 58 122001 [hep-th/9801160]
30. K.S. Stelle, BPS branes in supergravity, [hep-th/9803116]
31. M. Günaydin, A. Neitzke, B. Pioline and A. Waldron, 2006 BPS black holes, quantum attractor flows and automorphic forms, Phys. Rev. D 73 084019 [hep-th/0512296]
32. M. Günaydin, A. Neitzke, B. Pioline and A. Waldron, 2007 Quantum Attractor Flows J. High Energy Phys. JHEP09(2007)056 [0707.0267]
33. D. Gaiotto, W.W. Li and M. Padi, 2007 Non-Supersymmetric Attractor Flow in Symmetric Spaces J. High Energy Phys. JHEP12(2007)093 [0710.1638]
34. W. Li, Non-Supersymmetric Attractors in Symmetric Coset Spaces, [0801.2536]
35. J. Perz, P. Smyth, T. Van Riet and B. Vercnocke, 2009 First-order flow equations for extremal and non-extremal black holes J. High Energy Phys. JHEP03(2009)150 [0810.1528]
36. G.W. Gibbons, M.B. Green and M.J. Perry, 1996 Instantons and Seven-Branes in Type IIB Superstring Theory, Phys. Lett. B 370 37 [hep-th/9511080]
37. M.B. Green and M. Gutperle, 1997 Effects of D-instantons, Nucl. Phys. B 498 195 [hep-th/9701093]
38. K. Becker and M. Becker, 1999 Instanton action for type-II hypermultiplets, Nucl. Phys. B 551 102 [hep-th/9901126]
39. A.H. Chamseddine and W.A. Sabra, 1998 Metrics admitting Killing spinors in five dimensions, Phys. Lett. B 426 36 [hep-th/9801161]
40. A.H. Chamseddine and W.A. Sabra, 1999 Calabi-Yau black holes and enhancement of supersymmetry in five dimensions, Phys. Lett. B 460 63 [hep-th/9903046]
41. T. Mohaupt and K. Waite, Instantons, black holes, and harmonic functions, [0906.3451]
42. C. Kiefer, 2004 Quantum Gravity, Oxford University Press, Oxford, U.K.
43. 2 and the d=4 N=2 vector-tensor multiplet, Nucl. Phys. B 524 86 [hep-th/9709129]
44. P. Claus et al., 1998 N = 2 supergravity Lagrangians with vector-tensor multiplets, Nucl. Phys. B 512 148 [hep-th/9710212]
45. S.-J. Rey, 1991 The confining phase of superstrings and axionic strings, Phys. Rev. D 43 526
46. J.D. Brown, C.P. Burgess, A. Kshirsagar, B.F. Whiting and J. York, James W., 1989 Scalar field wormholes, Nucl. Phys. B 328 213
47. E. Bergshoeff, A. Collinucci, A. Ploegh, S. Vandoren and T. Van Riet, 2006 Non-extremal D-instantons and the AdS/CFT correspondence J. High Energy Phys. JHEP01(2006)061 [hep-th/0510048]
48. K. Skenderis and P.K. Townsend, 2006 Hidden supersymmetry of domain walls and cosmologies, Phys. Rev. Lett. 96 191301 [hep-th/0602260]
49. E.A. Bergshoeff, J. Hartong, A. Ploegh, J. Rosseel and D. Van den Bleeken, 2007 Pseudo-supersymmetry and a tale of alternate realities J. High Energy Phys. JHEP07(2007)067 [0704.3559]
50. C.M. Hull, 1998 Duality and the Signature of Space-Time J. High Energy Phys. JHEP11(1998)017 [hep-th/9807127]
51. C.M. Hull, 1998 Timelike T-duality, de Sitter space, large-N gauge theories and topological field theory J. High Energy Phys. JHEP07(1998)021 [hep-th/9806146]
52. E. Poisson, 2004 A Relativist's Toolkit, Cambridge University Press, Cambridge, U.K.
53. R.C. Myers and M.J. Perry, 1986 Black Holes in Higher Dimensional Space-Times, Ann. Phys. 172 304
54. R. Bartnik, 1986 The mass of an asymptotically flat manifold, Comm. Pure Appl. Math. 39 661
55. R. Wald, 1984 General Relativity, The University of Chicago Press, Chicago, U.S.A.