Year-end Sale % OFF 
Abstract
Recent studies of holographic properties of massless higher-order gravities, whose linear spectrum contains only the (massless) graviton, yielded some universal relations in $d=4$ dimensions between the holographic $a$, $c$ charges and the overall coefficient factor ${\cal C}_T$ of the energy-momentum tensor two-point function, namely $c=\frac{1}{d-1} \ell\frac{\partial a}{\partial \ell}={\cal C}_T$, where $\ell$ is the AdS radius. The second equality was shown to be valid in all dimensions. In this paper, we establish the first equality in $d=6$ by examining these quantities from $D=7$ higher-order gravities. Consequently the overall coefficient of the two-point function of the energy-momentum tensor is proportional to this $c$ charge, generalizing the well-known $d=4$ result. We identify the relevant $c$ charge as the coefficient of a specific combination of the three type-B anomalies. Modulo total derivatives, this combination involves Riemann tensor at most linearly.
Highlights
Owing to the enlarged global symmetry, conformal field theories (CFTs) are much simpler than the general quantum field theories and many tantalizing features have attracted considerable attention
The overall coefficient of the two-point function of the energy-momentum tensor is proportional to this c charge, generalizing the well-known d 1⁄4 4 result
II, we review the conformal anomalies in d 1⁄4 6 CFTs
Summary
Owing to the enlarged global symmetry, conformal field theories (CFTs) are much simpler than the general quantum field theories and many tantalizing features have attracted considerable attention. An important feature of any CFT in even d 1⁄4 2n dimensions is that conformal anomalies can arise at the quantum level when the theory is put on a generic curved spacetime background [1,2,3]. In d 1⁄4 4, this coefficient can be established to be proportional to the c charge [4,5] This result was reproduced by the holographic technique in Einstein [7] and Einstein-Gauss-Bonnet [8] gravities and more [9]. For general curvature tensor polynomials, there are two massive modes, one scalar and one spin-2 The decoupling of these two modes provides only two constraints on the coupling constants. ∂a ∂l ; ð1:1Þ where l is the AdS radius. [The precise ratio CT=CT is given in (3.12).] (This result was derived in the general off critical case in quasitopological gravity [11].) To clarify the
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
