On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes

By D. Baumann, Anatoly Dymarsky, I. Klebanov, J. Maldacena, Liam McAllister, A. Murugan. 2006

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We study the potential governing D3-brane motion in a warped throat region of a string compactification with internal fluxes and wrapped D-branes. If the Kahler moduli of the compact space are stabilized by nonperturbative effects, a D3-brane experiences a force due to its interaction with D-branes wrapping certain four-cycles. We compute this interaction, as a correction to the warped four-cycle volume, using explicit throat backgrounds in supergravity. This amounts to a closed-string channel computation of the loop corrections to the nonperturbative superpotential that stabilizes the volume. We demonstrate that for warped conical spaces the superpotential correction is given by the embedding equation specifying the wrapped four-cycle, in agreement with the general form proposed by Ganor. We verify that the corrected gauge coupling on wrapped D7-branes is holomorphic. Finally, our results have applications to cosmological inflation models in which the inflaton corresponds to a D3-brane moving in a warped throat.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/10bc28db9d1c6727e8fd7ee5923db8dd38cf37ee

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Citations in the corpus

From ten to four and back again: how to generalize the geometry (2007, methodology): “example they are used to stabilize some background moduli along the line of [28] or, more recently, they can induce a non-trivial superpotential for mobile space-filling D3branes that would classically be free to move in the internal space [29, 30, 31 ].”
Towards an explicit model of D-brane inflation (2007, methodology): “To see this, we note that the holomorphic coordinates on the conifold scale as fractional powers of φ, |zi| ∝ φ, and A(zi) is a holomorphic function of the zi coordinates [9].”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “19), p depends Note that the coefficient As depends on open and closed strings (see [78] for the dependence of the prefactor on D3 brane moduli).”
Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra (2007, background): “Note also that the instanton amplitude contains a prefactor (which in general depends on closed and open string moduli) arising from the Gaussian path integral over (massive) fluctuations of the instanton (hence described by an open string annulus partition function, see [22, 23] for related work), ”
Oscillations in the CMB from axion monodromy inflation (2009, background): “Let us first recall that in scenarios of D3-brane inflation in nonperturbatively-stabilized vacua, even a single D3-brane moving slowly in a throat can affect the warp factor, and correspondingly the warped volumes of four-cycles bearing nonperturbative effects, to such a degree that this interactio”
Les Houches Lectures on Constructing String Vacua (2008, methodology): “See [74–77] for the effective Käh ler potential and action for D3-branes, and [78] for concretely applied examp les.”
D3-brane potentials from fluxes in AdS/CFT (2010, background): “This term is not protected by supersymmetry or by a global symmetry(8), and hence would be inaccessible in a field theory analysis at large ’t Hooft coupling or in a four-dimensional supergravity analysis such as [15, 16] in which only superpotential interactions are computed.”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “In those cases D-terms or perturbative, rather than non-perturbative, effects are preferred to fix the SM cycle [14].”
Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, result): “The effect of the resulting non-perturbative F-term for the open string moduli is expected to be comparable to the one analysed in [ 58 ] on the mirror symmetric Type IIB side.”
Gaugino Condensates and D-terms from D7-branes (2006, background): “(27)However, the D7-branes might extend into the throat, like recently discussed for example in [54], which would also lead to some suppression.”
The Swampland: Introduction and Review (2019, unknown): “This can be understood in a number of ways, see for example [259–261].”
Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, methodology): “We would also like to point out that for holomorphic quantities like the nonperturbative superpotential, there has been interesting progress towards using gravity methods to compute corrections analogous to those above [41, 53].”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “In a similar fashion it is argued that non-perturbative corrections to the superpotential can be induced from such bulk effects [59, 60].”