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f(R) Theories of Supergravities and Pseudo-supergravities
High Energy Physics - Theory · Submitted 11 Jan 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that new solutions emerge with global structures that do not exist in the corresponding solutions of the original supergravity description.
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The abstract, sentence by sentence
We present f(R) theories of ten-dimensional supergravities, including the fermionic sector up to the quadratic order in fermion fields. They are obtained by performing the conformal scaling on the usual supergravities to the f(R) frame in which the dilaton becomes an auxiliary field and can be integrated out. The f(R) frame coincides with that of M-theory, D2-branes or NS-NS 5-branes. We study various BPS p-brane solutions and their near-horizon AdS \times sphere geometries in the context of the f(R) theories. We find that new solutions emerge with global structures that do not exist in the corresponding solutions of the original supergravity description. In lower dimensions, We construct the f(R) theory of N=2, D=5 gauged supergravity with a vector multiplet, and that for the four-dimensional U(1)^4 gauged theory with three vector fields set equal. We find that some previously-known BPS singular "superstars" become wormholes in the f(R) theories. We also construct a large class of f(R) (gauged) pseudo-supergravities. In addition we show that the breathing mode in the Kaluza-Klein reduction of Gauss-Bonnet gravity on S^1 is an auxiliary field and can be integrated out.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present f(R) theories of ten-dimensional supergravities, including the fermionic sector up to the quadratic order in fermion fields. | contribution 1.00 | 0.95 | 0.11 | asserted 1.00 |
| s1 | They are obtained by performing the conformal scaling on the usual supergravities to the f(R) frame in which the dilaton becomes an auxiliary field and can be integrated out. | method 0.99 | 0.86 | 0.07 | asserted 1.00 |
| s2 | The f(R) frame coincides with that of M-theory, D2-branes or NS-NS 5-branes. | result 0.44 | 0.43 | 0.07 | asserted 1.00 |
| s3 | We study various BPS p-brane solutions and their near-horizon AdS \times sphere geometries in the context of the f(R) theories. | contribution 0.99 | 0.92 | 0.09 | asserted 0.93 |
| s4 | We find that new solutions emerge with global structures that do not exist in the corresponding solutions of the original supergravity description. | result 1.00 | 0.96 | 0.38 | asserted 1.00 |
| s5 | In lower dimensions, We construct the f(R) theory of N=2, D=5 gauged supergravity with a vector multiplet, and that for the four-dimensional U(1)^4 gauged theory with three vector fields set equal. | contribution 1.00 | 0.95 | 0.06 | asserted 1.00 |
| s6 | We find that some previously-known BPS singular "superstars" become wormholes in the f(R) theories. | result 1.00 | 0.95 | 0.17 | asserted 1.00 |
| s7 | We also construct a large class of f(R) (gauged) pseudo-supergravities. | contribution 0.99 | 0.96 | 0.09 | asserted 1.00 |
| s8 | In addition we show that the breathing mode in the Kaluza-Klein reduction of Gauss-Bonnet gravity on S^1 is an auxiliary field and can be integrated out. | result 0.80 | 0.89 | 0.06 | asserted 1.00 |
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The paper
Original abstract
We present f(R) theories of ten-dimensional supergravities, including the fermionic sector up to the quadratic order in fermion fields. They are obtained by performing the conformal scaling on the usual supergravities to the f(R) frame in which the dilaton becomes an auxiliary field and can be integrated out. The f(R) frame coincides with that of M-theory, D2-branes or NS-NS 5-branes. We study various BPS p-brane solutions and their near-horizon AdS \times sphere geometries in the context of the f(R) theories. We find that new solutions emerge with global structures that do not exist in the corresponding solutions of the original supergravity description. In lower dimensions, We construct the f(R) theory of N=2, D=5 gauged supergravity with a vector multiplet, and that for the four-dimensional U(1)^4 gauged theory with three vector fields set equal. We find that some previously-known BPS singular "superstars" become wormholes in the f(R) theories. We also construct a large class of f(R) (gauged) pseudo-supergravities. In addition we show that the breathing mode in the Kaluza-Klein reduction of Gauss-Bonnet gravity on S^1 is an auxiliary field and can be integrated out.
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References
How the literature uses it
7 arXiv papers cite this in 14 sentences
Papers citing it · 12 sentences without a confident label
Uses its method or tool 1 paper
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We now make a conformal transformation [ref] g_μν = e^-√(2(D-1)(D-2)) ϕ g̃_μν , the Lagrangian, after dropping the tildes, becomes L = √(-g) (Φ(R+ (D-1)(D-3)g_1^2)- 14Φ^-1 F^2 + Φ^3((D-1)g_2^2 - 14 F^2)) . where Φ=e^-√(D-22(D-1)) ϕ .
Exact Embeddings of JT Gravity in Strings and M-theory · Conformal transformation · 0.98
Cites it as background 1 paper
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In analogy with $f(R)$ gravity (see [ref] for reviews of $f(R)$ theories) being equivalent to a special class of Brans-Dicke theory in which the scalar field has no kinetic term, this can also be referred to as the “$f(R)$ frame” [ref] .
Strings on AdS Wormholes and Nonsingular Black Holes · Introduction · 0.92
What it cites · 39 sentences without a confident label
Builds on 2 papers
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The AdS$_6$ embedding embedding [ref] in the $f(R)$ theory becomes [equation] Thus the solution has a power-law curvature singularity at the equator $θ=π/2$ of the $S^4$.
The D4-D8 Brane System and Five Dimensional Fixed Points · Further discussions on the R-R sector · 0.93
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The AdS$_6$ embedding embedding [ref] in the $f(R)$ theory becomes [equation] Thus the solution has a power-law curvature singularity at the equator $θ=π/2$ of the $S^4$.
Gauged Six-dimensional Supergravity from Massive Type IIA · Further discussions on the R-R sector · 0.93
Uses the method or tool of 2 papers
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We adopt exactly the same convention given in [ref] , which follows the convention of [ref] .
Pseudo-Supergravity Extension of the Bosonic String · Gauged $f(R)$ Kaluza-Klein pseudo-supergravities · 0.87
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We adopt exactly the same convention given in [ref] , which follows the convention of [ref] .
Gauged Kaluza-Klein AdS Pseudo-supergravity · Gauged $f(R)$ Kaluza-Klein pseudo-supergravities · 0.87
Compares with 2 papers
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This is analogous to the type IIB instanton solution [ref] , which is a wormhole in the string frame.
Instantons and seven-branes in type IIB superstring theory · (Massive) type IIA $f(R)$ supergravity · 0.98
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In $D=4$, it is a special case of the $U(1)^4$ charged solutions in four-dimensional gauged supergravity [ref] .
Anti-de Sitter Black Holes in Gauged N=8 Supergravity · A general class of charged black hole solutions · 0.85
Cites as background 9 papers
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It was shown that [ref] AdS$_6$ arises in the localized D4/D8-brane system [ref] , and the gauged AdS$_6$ supergravity [ref] can be obtained from spherical reduction from massive type IIA supergravity [ref] .
Gauged Six-dimensional Supergravity from Massive Type IIA · Further discussions on the R-R sector · 0.91
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It was shown that [ref] AdS$_6$ arises in the localized D4/D8-brane system [ref] , and the gauged AdS$_6$ supergravity [ref] can be obtained from spherical reduction from massive type IIA supergravity [ref] .
The D4-D8 Brane System and Five Dimensional Fixed Points · Further discussions on the R-R sector · 0.91
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It was shown that [ref] AdS$_6$ arises in the localized D4/D8-brane system [ref] , and the gauged AdS$_6$ supergravity [ref] can be obtained from spherical reduction from massive type IIA supergravity [ref] .
Partially Localized Intersecting BPS Branes · Further discussions on the R-R sector · 0.91
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