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Fluxbrane Inflation
High Energy Physics - Theory · Submitted 26 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, our scenario of D7/D7 inflation avoids the familiar observational constraints associated with cosmic strings.
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The abstract, sentence by sentence
As a first step towards inflation in genuinely F-theoretic setups, we propose a scenario where the inflaton is the relative position of two 7-branes on holomorphic 4-cycles. Non-supersymmetric gauge flux induces an attractive inter-brane potential. The latter is sufficiently flat in the supergravity regime of large volume moduli. Thus, in contrast to brane-antibrane inflation, fluxbrane inflation does not require warping. We calculate the inflaton potential both in the supergravity approximation and via an open-string one-loop computation on toroidal backgrounds. This leads us to propose a generalisation to genuine Calabi-Yau manifolds. We also comment on competing F-term effects. The end of inflation is marked by the condensation of tachyonic recombination fields between the 7-branes, triggering the formation of a bound state described as a stable extension along the 7-brane divisor. Hence our model fits in the framework of hybrid D-term inflation. We work out the main phenomenological properties of our D-term inflaton potential. In particular, our scenario of D7/D7 inflation avoids the familiar observational constraints associated with cosmic strings.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | As a first step towards inflation in genuinely F-theoretic setups, we propose a scenario where the inflaton is the relative position of two 7-branes on holomorphic 4-cycles. | contribution 0.99 | 0.83 | 0.12 | asserted 0.36 |
| s1 | Non-supersymmetric gauge flux induces an attractive inter-brane potential. | result 0.50 | 0.42 | 0.06 | asserted 1.00 |
| s2 | The latter is sufficiently flat in the supergravity regime of large volume moduli. | result 0.95 | 0.64 | 0.06 | asserted 1.00 |
| s3 | Thus, in contrast to brane-antibrane inflation, fluxbrane inflation does not require warping. | interpretation 0.71 | 0.55 | 0.18 | asserted 1.00 |
| s4 | We calculate the inflaton potential both in the supergravity approximation and via an open-string one-loop computation on toroidal backgrounds. | method 0.90 | 0.96 | 0.05 | asserted 1.00 |
| s5 | This leads us to propose a generalisation to genuine Calabi-Yau manifolds. | future work 0.88 | 0.67 | 0.10 | hedged possibility 0.48 |
| s6 | We also comment on competing F-term effects. | contribution 0.65 | 0.60 | 0.03 | unclear 0.80 |
| s7 | The end of inflation is marked by the condensation of tachyonic recombination fields between the 7-branes, triggering the formation of a bound state described as a stable extension along the 7-brane divisor. | result 0.71 | 0.72 | 0.18 | asserted 1.00 |
| s8 | Hence our model fits in the framework of hybrid D-term inflation. | interpretation 0.99 | 0.57 | 0.25 | asserted 0.87 |
| s9 | We work out the main phenomenological properties of our D-term inflaton potential. | contribution 0.98 | 0.94 | 0.09 | asserted 0.95 |
| s10 | In particular, our scenario of D7/D7 inflation avoids the familiar observational constraints associated with cosmic strings. | result 0.79 | 0.77 | 0.23 | asserted 0.99 |
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The paper
Original abstract
As a first step towards inflation in genuinely F-theoretic setups, we propose a scenario where the inflaton is the relative position of two 7-branes on holomorphic 4-cycles. Non-supersymmetric gauge flux induces an attractive inter-brane potential. The latter is sufficiently flat in the supergravity regime of large volume moduli. Thus, in contrast to brane-antibrane inflation, fluxbrane inflation does not require warping. We calculate the inflaton potential both in the supergravity approximation and via an open-string one-loop computation on toroidal backgrounds. This leads us to propose a generalisation to genuine Calabi-Yau manifolds. We also comment on competing F-term effects. The end of inflation is marked by the condensation of tachyonic recombination fields between the 7-branes, triggering the formation of a bound state described as a stable extension along the 7-brane divisor. Hence our model fits in the framework of hybrid D-term inflation. We work out the main phenomenological properties of our D-term inflaton potential. In particular, our scenario of D7/D7 inflation avoids the familiar observational constraints associated with cosmic strings.
Human review
References
How the literature uses it
15 arXiv papers cite this in 46 sentences
Papers citing it · 34 sentences without a confident label
Contests it 1 paper
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This is, however, indeed too naive generically: While the supergravity calculation performed in section 4 of [ref] actually admits the cycle which is wrapped by the D7-brane to be compact (and therefore captures the corrections $∼^2 ∫∧$), curvature-induced D3-brane charge [ref] was neglected.
D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation · Relevance of Loop Corrections · contest 0.79
Builds on it 2 papers
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In particular, in pheno we discuss the D7-D7 moduli space and its generic scalar potential in more detail than in our previous publications on the subject [ref] .
D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation · Brief Summary of our Results · 0.84
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Therefore, it should allow to include the inflationary models considered in [ref] .
Special Points of Inflation in Flux Compactifications · Generalization to F-theory · 0.85
Compares with it 1 paper
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The construction is very reminiscent of the fluxbranes[We use the term `fluxbrane' in the original sense of extended solutions with non-trivial (compactly supported) magnetic fields in their transverse dimensions, rather than in the recent use as branes carrying worldvolume magnetic flux [ref] . ] in [ref] , as we now explain.
Discrete gauge symmetries from (closed string) tachyon condensation · Topological $_n$ defects and quenched fluxbranes · 0.93
Cites it as support 1 paper
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A realization of such a logarithmic potential in string theory is given in [ref] , dubbed "fluxbrane inflation".
Draining the Swampland · Inflation and the Drainon · 0.96
Cites it as background 6 papers
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Fluxbrane inflation [ref] is a stringy realisation of $D$-term hybrid inflation [ref] .
Fluxbranes: Moduli Stabilisation and Inflation · Phenomenological Requirements · 0.80
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Fluxbrane inflation [ref] is a stringy version of supersymmetric hybrid natural inflation [ref] .
D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation · Supersymmetric Hybrid Natural Inflation and its Stringy Embedding · 0.93
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Fluxbrane inflation [ref] is a hybrid inflation scenario in string theory in which the inflaton field is the separation of a pair of spacetime-filling D7-branes.
Monodromy Charge in D7-brane Inflation · Comment on fluxbrane inflation · 1.00
What it cites · 134 sentences without a confident label
Builds on 3 papers
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We demonstrate this important point in App. [ref] by constructing a simple toroidal example, which is a straightforward generalisation of the setup in [ref] , where all complex structure moduli and the dilaton are fixed in a supersymmetric Minkowski vacuum without fixing all 7-brane moduli.
An Open String Landscape · Conclusions and outlook on moduli stabilisation and $F$-terms · 0.99
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The resulting $D$-term potential reads [equation] We propose this as a generalisation of the attractive potential found for branes at angles [ref] on a torus in Type IIA to a generic Calabi-Yau Type IIB orientifold.
Inflationary Scenarios from Branes at Angles · The brane potential on generic Calabi-Yau manifolds · 0.99
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The resulting $D$-term potential reads [equation] We propose this as a generalisation of the attractive potential found for branes at angles [ref] on a torus in Type IIA to a generic Calabi-Yau Type IIB orientifold.
Recombination of Intersecting D-Branes and Cosmological Inflation · The brane potential on generic Calabi-Yau manifolds · 0.99
Uses the method or tool of 13 papers
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We start by calculating the potential of a probe D7-brane with world-volume gauge flux $ℱ_a$ moving in the background of a D7-brane with world-volume gauge flux $ℱ_b$, roughly following [ref] .
D3/D7 Inflationary Model and M-theory · Potential from 10d supergravity perspective · 0.91
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Now we perform T-duality using the Buscher rules [ref] : Taking $z$ to be the Killing coordinate along which the T-duality is performed the T-dual metric $g̃$ is given by [equation] while the dilaton and the $B$-field transform to [equation] The extended Buscher rules for the R-R-forms are [ref] [equation]
Duality in the Type--II Superstring Effective Action · Derivation of supergravity solution for a magnetised D7-brane · 1.00
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Now we perform T-duality using the Buscher rules [ref] : Taking $z$ to be the Killing coordinate along which the T-duality is performed the T-dual metric $g̃$ is given by [equation] while the dilaton and the $B$-field transform to [equation] The extended Buscher rules for the R-R-forms are [ref] [equation]
An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories · Derivation of supergravity solution for a magnetised D7-brane · 1.00
Uses data or values from 1 paper
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They set a value for the ratio $V^3/2/V'$ at time $t_N$ as [ref] ζ̃≡.
Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation · Phenomenological analysis · 0.95
Compares with 19 papers
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While our scenario is conceptually similar to D3/D7 inflation [ref] , it has significant advantages concerning the field range of the inflaton: The fact that a D7- rather than a D3-brane moves in the compact space enhances the relevant kinetic term.
D3/D7 Inflationary Model and M-theory · Introduction · 0.98
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While our scenario is conceptually similar to D3/D7 inflation [ref] , it has significant advantages concerning the field range of the inflaton: The fact that a D7- rather than a D3-brane moves in the compact space enhances the relevant kinetic term.
On Brane Inflation With Volume Stabilization · Introduction · 0.98
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While our scenario is conceptually similar to D3/D7 inflation [ref] , it has significant advantages concerning the field range of the inflaton: The fact that a D7- rather than a D3-brane moves in the compact space enhances the relevant kinetic term.
Update of D3/D7-Brane Inflation on K3 x T^2/Z_2 · Introduction · 0.98
Cites as support 1 paper
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In addition, however, a more detailed evaluation of the periods entering the GVW-superpotential $W = ∫_X_3 Ω∧(F_3 - τH_3)$ in [ref] suggests that even in absence of gauge flux the brane deformation moduli can appear explicitly in the superpotential.
On N=1 4d Effective Couplings for F-theory and Heterotic Vacua · Conclusions and outlook on moduli stabilisation and $F$-terms · 0.97
Cites as background 26 papers
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We first recall the familiar `no-go theorem' of [ref] : Schematically, the 4d Lagrangian for the relative motion of a $p$-brane and its anti-brane in the compactification space reads L ∼ g_s^-2 V R + g_s^-1 V_|| [ (∂r)^2 - ( A-B g_s/r^d_⊥-2 ) ] .
The Inflationary Brane-Antibrane Universe · Summary of technical results · 0.86
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They include replacing the brane-antibrane pair by a pair of branes at a relative angle [ref] , by a D7-brane with flux together with a D3-brane [ref] , and exploiting warped geometries [ref] .
Towards Inflation in String Theory · Introduction · 0.85
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They include replacing the brane-antibrane pair by a pair of branes at a relative angle [ref] , by a D7-brane with flux together with a D3-brane [ref] , and exploiting warped geometries [ref] .
Inflationary Scenarios from Branes at Angles · Introduction · 0.85
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