Departmental Groups
Interdisciplinary Research
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Igor Klebanov
In addition to point particles, string theory admits objects of
various internal dimensionalities, sometimes called p-branes. In
this terminology, a 0-brane is a particle,
a 1-brane is a string, a 2-brane is a membrane, etc. Recently, a
fundamental description of many of such objects in terms of
Dirichlet branes has been constructed.
When one stacks a large number of coincident Dirichlet p-branes,
one expects to find a macroscopic p-brane of large energy
density. Precisely how such p-branes
curve space can sometimes be determined from the equations of
classical supergravity. On the other hand, the Dirichlet brane
(D-brane) approach to such objects
relates them to supersymmetric gauge theory in p+1 dimensions
with a large number of colors.
Much of my work over the last few years has been devoted to
studying the interplay between the gravitational and the gauge
theory descriptions of such stacks of
D-branes. This is particularly interesting for 3-branes where one
finds a gauge theory in 3+1 dimensions. By now, a great deal of evidence has been accumulated for an exact
duality between string
theory in certain gravitational backgrounds related to the
3-brane geometry (they involve 5-dimensional anti-de Sitter space
times a compact space) and various
(super)conformal field theories in 3+1 dimensions. This AdS/CFT correspondence
is an exciting research direction because it relates strings to gauge
theories in a concrete fashion.
Here is my introductory review of the AdS/CFT duality.
I further succeeded in finding a dual
gravitational description for certain theories that are not
scale invariant but exhibit logarithmic renormalization group flow.
Important strong coupling phenomena such as confinement and
chiral symmetry breaking appear naturally in the geometrical
language. Furthermore, it is possible to describe a new
phenomenon: a renormalization group cascade where a number
of colors in the gauge theory drops repeatedly along the
flow.
I also maintain an interest in the Skyrme model of baryons.
Here is a link to my recent paper on pentaquarks claiming that they
are not predicted by the Skyrme model (for earlier statements to this
effect, see my 1989 review of the bound state approach to strangeness).
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S e l e c t e d P u b l i c a t i o n s:
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- S.S. Gubser, I.R. Klebanov, and A.W. Peet,
"Entropy and temperature of black 3-branes,"
Phys. Rev. D54 (1996) 3915,
hep-th/9602135.
- 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 and I.R. Klebanov,
"Absorption by branes and Schwinger terms in the world volume theory,"
Phys. Lett. B413 (1997) 41,
hep-th/9708005.
- 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 N. Nekrasov,
"Gravity Duals of Fractional Branes and Logarithmic RG Flow,"
Nucl. Phys. B574 (2000) 263,
hep-th/9911096
- 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
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