D3-brane potentials from fluxes in AdS/CFT

By D. Baumann, Anatoly Dymarsky, S. Kachru, I. Klebanov, Liam McAllister. 2010

177 citations recorded by the source corpus.

We give a comprehensive treatment of the scalar potential for a D3-brane in a warped conifold region of a compactification with stabilized moduli. By studying general ultraviolet perturbations in supergravity, we systematically incorporate ‘compactification effects’ sourced by supersymmetry breaking in the compact space. Significant contributions to the D3-brane potential, including the leading term in the infrared, arise from imaginary anti-self-dual (IASD) fluxes. For an arbitrary Calabi-Yau cone, we determine the most general IASD fluxes in terms of scalar harmonics, then compute the resulting D3-brane potential. Specializing to the conifold, we identify the operator dual to each mode of flux, and for chiral operators we confirm that the potential computed in the gauge theory matches the gravity result. The effects of four-dimensional curvature, including the leading D3-brane mass term, arise directly from the ten-dimensional equations of motion. Furthermore, we show that gaugino condensation on D7-branes provides a local source for IASD flux. This flux automatically and precisely encodes the nonperturbative contributions to the D3-brane potential, yielding a promising ten-dimensional representation of four-dimensional nonperturbative effects. Our result encompasses all significant contributions to the D3-brane potential discussed in the literature, and does so in the single coherent framework of ten-dimensional supergravity. Moreover, we identify new terms with irrational scaling dimensions that were inaccessible in prior works. By decoupling gravity in a noncompact configuration, then systematically reincorporating compactification effects as ultraviolet perturbations, we have provided an approach in which Planck-suppressed contributions to the D3-brane effective action can be computed. This is the companion paper to [1].

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/31b1fa399b5b6264349401ae6d4bf8340d92a778

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Citations in the corpus

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].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “In [110] it was shown that the two approaches of non-perturbative effects and background H-flux are, at least in the type IIB limit, equivilant in the sense that the backreaction of the non-perturbative effects sources the relevant flux.”
Unquenched Flavor in the Gauge/Gravity Correspondence (2010, background): “For instance, for models of inflation built with D3-D7 systems on the conifold (see [143] for recent progress in this direction), the analysis of section 5 could have some relevance.”
Inflation and String Theory (2014, methodology): “where cLM are constant coefficients, L ≡ (j1, j2, R) and M ≡ (m1,m2) label the SU(2)× SU(2)× U(1) quantum numbers under the isometries of T (1,1), and the functions fLM (Ψ) are angular harmonics on T 1,1 (whose explicit forms can be found in [42]).”
Simple exercises to flatten your potential (2010, background): “Complete catalogs of the modes found in compactification geometries, such as [39,40], may be of use in constructing more explicit examples.”
Brane-World Gravity (2004, background): “Recently there has been a new development and it has become possible to calculate all significant contributions to the D3 brane potential in the single coherent framework of 10-dimensional supergravity [31, 30, 28, 29].”
Smeared versus localised sources in flux compactifications (2010, background): “Whether a less standard Ansatz might lead to localised solutions that reduce, (9)For an interesting discussion of local solutions that are close to but not at the BPS point see [33].”