Pure & Applied Mathematics: Recent submissions
Now showing items 241-260 of 393
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Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
(Institute of Physics, 2000)We compute the conformal anomaly in the free d = 6 superconformal (2,0) tensor multiplet theory on generic curved background. Up to a trivial covariant totalderivative term, it is given by the sum of the type A part ... -
Scalar Quartic Effective Action on AdS5
(1999)We review the recent results concerning the computation of cubic and quartic couplings of scalar fields in type IIB supergravity on AdS5 ? S5 background that are dual to (extended) chiral primary operators in N = 4 SYM4. ... -
Four-point functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation
(American Physical Society, 2000)We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on an AdS53S5 background coincides with the relevant part of the action of the gauged ... -
On the correspondence between gravity fields and CFT operators
(2000)It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued ... -
A note on gravity-scalar fluctuations in holographic RG flow geometries
(Elsevier, 2000)We study five-dimensional gravity models with non-vanishing background scalar fields which are dual to non-conformal boundary field theories. We develop a procedure to decouple the graviton fluctuations from the scalar ... -
Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling
(2000)We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators OI ~ tr?(i?j) in N = 4 SYM4 at strong coupling and show that their structure is compatible with the predictions of ... -
Virasoro amplitude from the S(N) R**24 orbifold sigma model
(Springer, 1998)Four tachyon scattering amplitude is derived from the SNR24 orbifold sigma model in the large N limit. The closed string interaction is described by a vertex which is a bosonic analog of the supersymmetric one, recently ... -
Four graviton scattering amplitude from S(N) R**8 supersymmetric orbifold sigma model
(Elsevier, 1998)In the IR limit the Matrix string theory is expected to be described by the SNR8 supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string ... -
Antisymmetric tensor field on AdS(5)
(Elsevier, 1998)By using the Hamiltonian version of the AdSrCFT correspondence, we compute the two-point Green function of a local operator in Ds4 Ns4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of ... -
On Lorentz invariance and supersymmetry of four particle scattering amplitudes in S(N) R**8 orbifold sigma model
(American Physical Society, 1999)The SNR8 supersymmetric orbifold sigma model is expected to describe the Infrared limit of the matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently ... -
Some cubic couplings in type IIB supergravity on AdS(5) x S(5) and three-point functions in SYM(4) at large N
(American Physical Society, 2000)All cubic couplings in type IIB supergravity on AdS53S5 that involve two scalar fields sI that are mixtures of the five form field strength on S5 and the trace of the graviton on S5 are derived by using the covariant equations ... -
Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d = 3 and d = 6
(Elsevier, 2000)We consider free superconformal theories of N = 8 scalar multiplet in d = 3 and (2, 0) tensor multiplet in d = 6 and compute 2-point and 3-point correlators of their stress tensors. The results for the 2-point and the ... -
Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence
(Institute of Physics, 1999)We compute the three-point function of the stress-energy tensor in d-dimensional conformal field theory CFT from AdSd11 gravity. For d54 the coefficients of the three linearly independent conformally covariant forms ... -
Quadratic action for type IIB supergravity on AdS(5) x S(5)
(Institute of Physics, 1999)The quadratic action for physical fields of type IIB supergravity model on AdS5?S5 is derived starting from the recently found covariant action. All boundary terms that have to be added to the action to be used in the ... -
On the origin of supergravity boundary terms in the AdS/CFT correspondence
(Elsevier, 1999)The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based ... -
Toward the excited meson spectrum of dynamical QCD
(2010)We present a detailed description of the extraction of the highly excited isovector meson spectrum on dynamical anisotropic lattices using a new quark-field construction algorithm and a large variational basis of operators. ... -
Existence of ground states for fourth-order wave equations
(Elsevier, 2010)Focusing on the fourth-order wave equation utt+?2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds and a variety of nonlinearities f. -
A metric space approach to the information capacity of spike trains
(2010)Classical information theory can be either discrete or continuous, corresponding to discrete or continuous random variables. However, although spike times in a spike train are described by continuous variables, the ... -
Sparse coding of birdsong and receptive field structure in songbirds
(2009)Auditory neurons can be characterized by a spectro-temporal receptive field, the kernel of a linear filter model describing the neuronal response to a stimulus. With a view to better understanding the tuning properties ... -
Nonperturbative results for the mass dependence of the QED fermion determinant
(2010)The fermion determinant in four-dimensional quantum electrodynamics in the presence of O(2)XO(3) symmetric background gauge fields with a nonvanishing global chiral anomaly is considered. It is shown that the leading mass ...
