On direct and crossed channel asymptotics of four-point functions in AdS/CFT correspondence

We analyse the leading logarithmic singularities in direct and crossed channel limit of the four-point functions in dilaton-axion sector of type IIB supergravity on $AdS_{5}$ in AdS/CFT correspondence. Logarithms do not cancel in the full correlator in both channels.Comment: Revised version, typos corrected, 9 pages, no figure

Free-Field Realization of D-dimensional Cylindrical Gravitational Waves

We find two-dimensional free-field variables for D-dimensional general relativity on spacetimes with D-2 commuting spacelike Killing vector fields and non-compact spatial sections for D>4. We show that there is a canonical transformation which maps the corresponding two-dimensional dilaton gravity theory into a two-dimensional diffeomorphism invariant theory of the free-field variables. We also show that the spacetime metric components can be expressed as asymptotic series in negative powers of the dilaton, with coefficients which can be determined in terms of the free fields.Comment: 15 pages, Late

Four Dimensional Conformal Supergravity From AdS Space

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the spacetime boundary. N=1 Poincare supergravity can be induced by explicitly breaking the conformal invariance via a radial cutoff in the 5d space. The AdS/CFT correspondence relates the maximal gauged supergravity in five dimensions to N=4 super Yang-Mills on the 4d spacetime boundary. In this context we show that the conformal anomaly of the gauge theory induces conformal gravity on the boundary of the space and that this theory, via the renormalization group, encapsulates the gravitational dynamics of the skin of asymptotically AdS spacetimes. Our results have several applications to the AdS/CFT correspondence and the Randall-Sundrum scenario.Comment: 20 pages, LaTeX. v3. references and minor comments adde

Measurement of the branching fraction, polarization, and CP asymmetries in B-0 ->rho(0)rho(0) decay, and implications for the CKM angle alpha

We study B-0 ->rho(0)rho(0) decays in a sample of 465x10(6) Upsilon(4S)-> B(B)overbar events collected with the BABAR detector at the PEP-II asymmetric-energy e(+)e(-) collider located at the Stanford Linear Accelerator Center (SLAC). We measure the branching fraction B=(0.92 +/- 0.32 +/- 0.14)x10(-6) and longitudinal polarization fraction f(L)=0.75(-0.14)(+0.11)+/- 0.05, where the first uncertainty is statistical and the second is systematic. The evidence for the B-0 ->rho(0)rho(0) signal has a significance of 3.1 standard deviations, including systematic uncertainties. We investigate the proper-time dependence of the longitudinal component in the decay and measure the CP-violating coefficients S-L(00)=(0.3 +/- 0.7 +/- 0.2) and C-L(00)=(0.2 +/- 0.8 +/- 0.3). We study the implication of these results for the unitarity triangle angle alpha