Position
Professor of Physics

Office Phone
609-258-5593

Email
klebanov@Princeton.EDU

Office
336 Jadwin Hall/402A Jadwin Hall

Advisee(s):
Bernardo Zan




Bio/Description
Klebanov Research Description
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Much of my work since 1996 has focused on the exact relations between quantum field theories in four and three space-time dimensions, and higher dimensional theories which include gravity. My work on thermodynamics and absorption cross-sections by stacks of extended objects called D-branes paved the way to the formulation of the Anti-de Sitter/Conformal field Theory (AdS/CFT) correspondence. I made many contributions to the formulation of the “AdS/CFT dictionary,” which relates scaling dimensions and correlation functions in strongly interacting field theory to semi-classical dynamics in AdS space. My collaborators and I have also constructed a tractable gravitational description of a gauge theory which is nearly conformal at short distances but exhibits color confinement at long distances.
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In flat space there are problems with interacting fields of spin greater than two, but Mikhail Vasiliev and his collaborators have succeeded in constructing consistent interacting higher-spin theories in Anti-de Sitter space. These theories necessarily include gravity (spin two particles). In a 2002 paper, Alexander Polyakov and I conjectured that the simplest of Vasiliev's theories in 4-dimensional AdS space is dual, in the sense of the AdS/CFT correspondence, to O(N) symmetric theories of scalar fields in three dimensions. These field theories are very well-known; they generalize the theories that describe second-order phase transitions observed in real world, like the water-vapor critical point. They are rather simple because the basic fields are N-dimensional vectors rather than N by N matrices. By now there is considerable evidence that the conjecture we made in 2002 is correct. Notably, this provides a purely bosonic example of exact AdS/CFT correspondence (unlike the many earlier examples, it does not rely on supersymmetry). My most recent papers with Simone Giombi and others describe how the higher spin AdS/CFT correspondence works at one loop.
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In 2011 I was involved in proposing a positive quantity that decreases along any renormalization group flow from one three-dimensional CFT to another: it is minus the logarithm of the path integral on the three-dimensional sphere. This quantity is related to quantum entanglement entropy which has been the subject of much recent work by me and many others.?
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Selected Publications
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?I.R. Klebanov and A.A. Tseytlin, "Entropy of near-extremal black p-branes," Nucl. Phys. B475 (1996) 164, hep-th/9604089.?
I.R. Klebanov, "World volume approach to absorption by nondilatonic branes," Nucl. Phys. B496 (1997) 231, hep-th/9702076.???
S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, "Gauge theory correlators from noncritical string theory," Phys. Lett. B428 (1998) 105, hep-th/9802109???
I.R. Klebanov and E. Witten, "Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity," Nucl. Phys. B536 (1998) 199, hep-th/9807080???
I.R. Klebanov and E. Witten, "AdS/CFT Correspondence and Symmetry Breaking," Nucl. Phys. B556 (1999) 89, hep-th/9905104???
I.R. Klebanov and A.A. Tseytlin, "Gravity Duals of Supersymmetric SU(N)xSU(N+M) Gauge Theories," Nucl. Phys. B578 (2000) 123, hep-th/0002159???
I.R. Klebanov and M. Strassler, "Supergravity and a Confining Gauge Theory: Duality Cascades and Chiral Symmetry Breaking Resolution of Naked Singularities," JHEP 0008 (2000) 052, hep-th/0007191??
S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, "A Semiclassical limit of the gauge/string correspondence," Nucl. Phys. B636 (2002) 99, hep-th/0204051
I.R. Klebanov and A.M. Polyakov, "AdS Dual of the Critical O(N) Vector Model," ?Phys. Lett. ?B550 (2002) 213, hep-th/0210114
I.R. Klebanov and J.M. Maldacena, "Solving Quantum Field Theories via Curved Spacetimes," Physics Today 62 (2009) 28
D. Jafferis, I.R. Klebanov, S. Pufu and B. Safdi, "Towards the F-Theorem: N=2 Theories on the Three-Sphere," ?JHEP 1106 (2011) 102, ArXiv:1103.1181
I.R. Klebanov, S. Pufu and B. Safdi, "Towards the F-Theorem: N=2 Theories on the Three-Sphere," ?JHEP ??1110 (2011) 038, ArXiv:1105.4598
I.R. Klebanov, S. Pufu, S. Sachdev and B. Safdi, "Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors," ?JHEP 1205 (2012) 036, ArXiv:1112.534
S. Giombi and I.R. Klebanov, "One Loop Tests of Higher Spin AdS/CFT," JHEP 1312 (2013) 068, ArXiv:1308.2337
S. Giombi, I.R. Klebanov and B. Safdi, "Higher Spin AdS$_{d+1}$/CFT$_d$ at One Loop,"? ArXiv: 1401.0825