Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 181-200 of 319
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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 ... -
The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
(Elsevier, 2010)We consider the AdS_4 x CP^3 superstring sigma-model in the background of the ?spinning string? classical solution, which possesses two Noether spins. In the limit when one of the spins is infinite there are massless ... -
Exploring the mirror TBA
(2009)We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 imes S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 ... -
Simplified TBA equations of the AdS_5 x S^5 mirror model
(IOP Publishing, 2009)We use the recently found integral representation for the dressing phase in the kinematic region of the mirror theory to simplify the TBA equations for the AdS5 ? S5 mirror model. The resulting set of equations provides ... -
The dressing factor and crossing equations
(IOP Publishing, 2009)We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor ... -
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
(2009)We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model. We further demonstrate how these equations can be used to construct the associated ... -
Foundations of the AdS_5 x S^5 Superstring. Part I
(2009)We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain ... -
String hypothesis for the AdS_5 x S^5 mirror
(2009)We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS5 ? S5 background by the double-Wick rotation. We analyze ... -
Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
(2008)According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the N=6 supersymmetric Chern-Simons theory in three dimensions has a 't Hooft limit whose holographic dual is described by type IIA superstings ... -
Giant magnons in TsT-transformed AdS_5 x S^5
(IOP Publishing, 2008)We consider giant magnons propagating in a \gamma-deformed AdS_5 x S^5 background obtained from AdS_5 x S^5 by means of a chain of TsT transformations. We point out that in the light-cone gauge and in the infinite J limit ... -
The S-matrix of String Bound States
(2008)We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra ... -
Five-loop Konishi from the Mirror TBA
(2010)We use the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model to derive the five-loop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with ... -
Norms and CB Norms of Jordan Elementary Operators
(Elsevier, 2003)We establish lower bounds for norms and CB-norms of elementary operators on . Our main result concerns the operator Ta,bx=axb+bxa and we show Ta,bab, proving a conjecture of M. Mathieu. We also establish some other results ... -
An example of a Bloch function
(Hindawi, 1979) -
Pseudodistances invariantes sur les domaines convexes d'un espace localement convexe
(Scuola Normale Superiore, 1985)
