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- W2912773310 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 $a$ and $c$ charges and the overall coefficient factor ${mathcal{C}}_{T}$ of the energy-momentum tensor two-point function, namely, $c=frac{1}{densuremath{-}1}ensuremath{ell}frac{ensuremath{partial}a}{ensuremath{partial}ensuremath{ell}}={mathcal{C}}_{T}$, where $ensuremath{ell}$ is the anti--de Sitter 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 the Riemann tensor at most linearly." @default.
- W2912773310 created "2019-02-21" @default.
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- W2912773310 date "2019-06-11" @default.
- W2912773310 modified "2023-10-18" @default.
- W2912773310 title "Holographic <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mo stretchy=false>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> charges and their universal relation in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math> from massless higher-order gravities" @default.
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- W2912773310 doi "https://doi.org/10.1103/physrevd.99.126003" @default.
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