1 edition of **Partition functions for supersymmetric black holes** found in the catalog.

- 249 Want to read
- 13 Currently reading

Published
**2008**
by Amsterdam University Press in Amsterdam
.

Written in English

- Black holes (Astronomy),
- Supersymmetry

**Edition Notes**

Statement | Jan Manschot |

Contributions | ebrary, Inc |

Classifications | |
---|---|

LC Classifications | QB843.B55 M36 2008eb |

The Physical Object | |

Format | [electronic resource] / |

ID Numbers | |

Open Library | OL27079869M |

ISBN 10 | 9789056295400, 9789048507801 |

OCLC/WorldCa | 646854385 |

the main idea of the connection between four and ve dimensional black holes, as well as other supersymmetric objects. In section 3, we will describe the near horizon geometry of an extremal black hole. In section 4, we review the conjectured relation between black hole partition function and topological string amplitudes, which will. Supersymmetric Black Holes in String Theory – p The Laws of Black Hole Mechanics (2) ZBH = black hole partition function, Ztop = partition function of the topological string. H. Ooguri, A. Strominger and C. Vafa () Supersymmetric Black Holes in String Theory – p

ArXiv discussions for institutions including UIUC-SF, DESY Zeuthen MAGIC, UNAB, ustc, and MPIA. Our index does not reproduce the entropy of supersymmetric black holes in AdS 5, but this is not a contradiction, as it differs qualitatively from the partition function over supersymmetric states of the {mathcal N}=4 theory. We note that entropy for some small supersymmetric AdS 5 black holes may be reproduced via a D-brane counting involving.

In particle physics, supersymmetry (SUSY) is a conjectured relationship between two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin. A type of spacetime symmetry, supersymmetry is a possible candidate for undiscovered particle physics, and seen by some physicists as an elegant solution to many . We study the relation between c = 1 matrix models at self-dual radii and topological strings on non-compact Calabi-Yau manifolds. Particularly the special case of the deformed matrix model is investigated in detail. Using recent results on the equivalence of the partition function of topological strings and that of four dimensional BPS black holes, we are .

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Get this from a library. Partition functions for supersymmetric black holes. [Jan Manschot] -- This dissertation presents recent discoveries on partition functions for four-dimensional supersymmetric black holes. These partition functions are important tools to explain the entropy of black.

symmetric black holes in string theory. This has been triggered by the work of H. Ooguri, A. Strominger and C. Vafa [1], who introduced the so-called mixed partition function for supersymmetric black holes, and who formulated an intriguing conjecture about its relation to the partition function of the topological string.

This dissertation presents recent discoveries on partition functions for four-dimensional supersymmetric black holes. These partition functions are important tools to explain the entropy of black holes from a microscopic point of view within string theory and by: 3.

These partition functions are important tools Partition functions for supersymmetric black holes book explain the entropy of black holes from a microscopic point of view.

Such a microscopic explanation was desired after the association of a macroscopic entropy to black holes in the 70's, based on the analogies between black hole physics and by: 3. Partition Functions for Supersymmetric Black Holes jan manschot UvA Dissertation Faculty of Science This dissertation presents recent discoveries on partition functions for four-dimensional supersymmetric black holes.

These partition functions are important tools to explain the entropy of black holes from aCited by: 3. The partition function of the supersymmetric two-dimensional black hole and little string theory Article (PDF Available) in Journal of High Energy Physics (06). Partition function of non-supersymmetric black holes in the supergravity limit Article (PDF Available) in Modern Physics Letters A 23(22) March.

Download PDF Abstract: We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition function of two-dimensional supersymmetric theories on a torus.

We also find the partition function of the chiral ring of the N = 4 SYM theory at finite coupling and finite N. Turning to AdS3, we study the low energy 1/4 and 1/2 BPS partition functions by finding all classical supersymmetric probe brane solutions of string theory on this background.

the large N limit of the partition function of the dual CFT. We then discuss some recent results for a challenging example, which involves the reﬁnement by angular momentum. The gravitational backgrounds in this case are rotating supersymmetric AdS 4 black holes.

We explore various aspects of supersymmetric black hole partition functions in four-dimensional toroidally compactified heterotic string theory. These functions suffer from divergences owing to the hyperbolic nature of the charge lattice in this theory, which prevents them from having well-defined modular transformation properties.

In order to rectify this, we regularize these functions. The gravitational backgrounds in this case are rotating supersymmetric AdS$_4$ black holes. We show how to construct two different classes of such solutions in theories of supergravity with uplift in M-theory, and comment on the current status of their entropy counting in the dual CFT.

In particular, such identities, related to appropriate Lie algebras (and Lie groups), are linked to partition functions of quantum gravity and extended supergravity, elliptic genera of superconformal quantum theory and supersymmetric sigma models, and play a special role in string and black hole dynamics.

In this note, we propose the free energy of general non-supersymmetric black hole attractors arising in type IIA(B) superstrings on 3-fold Calabi-Yau, in the supergravity limit. This, by definition, differs from its counterpart BPS free energy by a factor of 4.

Correspondingly, a mixed ensemble for these black holes is proposed. Abstract: We discover a modular property of supersymmetric partition functions of su-persymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition function of two-dimensional supersymmetric theories on a torus i.e.

of the elliptic genus. In this paper, we propose a free energy for general non-supersymmetric black hole attractors (with vanishing D0-brane charge) arising in type IIA(B) superstrings on 3-fold Calabi-Yau, in the supergravity limit.

This, by definition, differs from its counterpart BPS free energy by a factor of 4. Correspondingly, a mixed ensemble for these black holes is proposed. (2) the relation between black holes and topological strings. Jan Manschot () studied Applied Physics at Delft University of Technology. Inhe started his Ph.D.

research at the Institute for Theoretical Physics of the University of Amsterdam. Partition Functions for Supersymmetric Black Holes Jan Manschot 9 ˜ AUP. Faculty of Science This dissertation presents recent discoveries on partition functions for four-dimensional supersymmetric black holes.

These partition functions are important tools to explain the entropy of black holes from a microscopic point. This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy.

for the Beckenstein-Hawking entropy of black holes in terms of counting of microstates. Strominger and Vafa initiated this program in [35] in the context of 5-dimensional supersymmetric black holes. The microstate counting was provided by the theory of D-branes.

Let us brieﬂy recall the most important points. Reviews include [23, 29, 8, 7, 30]. Supersymmetric localization and black holes microstates Seyed Morteza Hosseini Kavli IPMU YITP (Kyoto), August Many 3D and 4D supersymmetric partition functions can be written as a sum over Bethe vacua.

[Closset, Kim, Willett’17’18] Seyed. 1. Introduction. Providing a microscopic interpretation to the Bekenstein Hawking formula in the context of certain classes of supersymmetric extremal black holes in flat space has been a main success of string theory as a theory of quantum gravity.The expression for the microscopic entropy obtained by explicit enumeration and counting of black hole.

Leonard Susskind | "ER = EPR" or "What's Behind the Horizons of Black Holes?" - 1 of 2 - Duration: Stanford Institute for Theoretical Physicsviews.