Boundary fermion currents and subleading order chiral anomaly in the AdS/CFT correspondence

We construct a wave-functional whose argument couples to boundary fermion currents in the AdS/CFT correspondence. Using this we calculate the contributions from bulk fermions to the chiral anomaly that give the subleading order term in the exact $N$-dependence of the chiral anomaly of ${\cal N}=4$ SYM. The result agrees with the calculation of Bilal & Chu.Comment: 6 page

Bound States in the AdS/CFT Correspondence

We consider a massive scalar field theory in anti-de Sitter space, in both minimally and non-minimally coupled cases. We introduce a relevant double-trace perturbation at the boundary, by carefully identifying the correct source and generating functional for the corresponding conformal operator. We show that such relevant double-trace perturbation introduces changes in the coefficients in the boundary terms of the action, which in turn govern the existence of a bound state in the bulk. For instance, we show that the usual action, containing no additional boundary terms, gives rise to a bound state, which can be avoided only through the addition of a proper boundary term. Another notorious example is that of a conformally coupled scalar field, supplemented by a Gibbons-Hawking term, for which there is no associated bound state. In general, in both minimally and non-minimally coupled cases, we explicitly compute the boundary terms which give rise to a bound state, and which ones do not. In the non-minimally coupled case, and when the action is supplemented by a Gibbons-Hawking term, this also fixes allowed values of the coupling coefficient to the metric. We interpret our results as the fact that the requirement to satisfy the Breitenlohner-Freedman bound does not suffice to prevent tachyonic behavior from existing in the bulk, as it must be supplemented by additional conditions on the coefficients in the boundary terms of the action.Comment: 32 pages, Latex. v2: added comments and clarifications, minor changes. v3: corrected wrong result in the non-minimally coupled case, added reference, minor changes. v4: Added new results and discussions, parts of the paper are rewritten. Final version to be published in Phys.Rev.

One-loop conformal anomalies from AdS/CFT in the Schrödinger representation

We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of Supergravity on AdS5 × S5 and AdS7 × S4. Our approach interprets the partition function of fields on AdS spacetime in terms of wave-functionals that satisfy the functional Schrödinger equation

Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order

An infra-red fixed point of N = 1 super-Yang–Mills theory is believed to be dual to a solution of five-dimensional gauged N = 8 supergravity. We test this conjecture at next to leading order in the large N expansion by computing bulk one-loop corrections to the anomaly coefficient a − c. The one-loop corrections are non-zero for all values of the bulk mass, and not just special ones as claimed in previous work

The Schrödinger representation for Fermions and a local expansion of the Schwinger model.

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuum wave-functional does not simplify at large distances, but it may be reconstructed as a large time limit of the Schrödinger functional, which has an expansion in local terms. The functional Schrödinger equation reduces to a set of algebraic equations for the coefficients of these terms. These ideas generalize to a numerical approach to QCD in higher dimensions

Incorporating geographic distance into mate preference research: Necessities and luxuries, 2.0

This study (N = 370) examined mate preferences in men and women using the budget allocation paradigm across traits typically studied and the value placed on geographic proximity or propinquity. Importantly, traditionally studied preferences (i.e., physical attractiveness and social status) were seen as priorities, whereas the novel trait of distance was a luxury, suggesting that people were willing to travel to find a partner who satisfies their more important mate preferences. Men valued a short-term mate who was close to them more than women did. Prior work on mate preferences was replicated in their context-specific nature as per evolutionary models of mate choice

Incorporating geographic distance into mate preference research : necessities and luxuries, 2.0

This study (N = 370) examined mate preferences in men and women using the budget allocation paradigm across traits typically studied and the value placed on geographic proximity or propinquity. Importantly, traditionally studied preferences (i.e., physical attractiveness and social status) were seen as priorities, whereas the novel trait of distance was a luxury, suggesting that people were willing to travel to find a partner who satisfies their more important mate preferences. Men valued a short-term mate who was close to them more than women did. Prior work on mate preferences was replicated in their context-specific nature as per evolutionary models of mate choice