Abstract
In this work, we study the decay of \( \overline{D3} \)-branes in the setup of Kachru, Pearson, and Verlinde (KPV) at higher order in α′ from the perspective of a nonabelian \( \overline{D3} \)-brane stack. We extend the leading order analysis of KPV by including higher order commutators as well as higher derivative corrections. Recently, the KPV setup has been studied at higher order in α′ from the NS5-brane perspective. It was found that in order to control α′ corrections the quantity gsM2 determining the amount of warping in the Klebanov-Strassler throat has to be much larger than expected. This leads to serious issues when using the \( \overline{D3} \)-branes as an uplift to dS. The benefit of the analysis in this work is that the \( \overline{D3} \)-brane perspective is controlled when the distance between the branes inside the brane stack is substringy which is a regime not controlled on the NS5-brane side. As a main result, we find that the strong bound gsM2 ~ \( \mathcal{O} \)(100) obtained on the NS5-brane also holds in the regime accessible from the \( \overline{D3} \)-brane perspective. We also show that the novel way of uplifting proposed in the recent work on α′ corrections to the KPV setup can only work for small warped throats.
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References
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
J.P. Conlon, F. Quevedo and K. Suruliz, Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking, JHEP 08 (2005) 007 [hep-th/0505076] [INSPIRE].
B. Freivogel and M. Lippert, Evidence for a bound on the lifetime of de Sitter space, JHEP 12 (2008) 096 [arXiv:0807.1104] [INSPIRE].
F. Carta, J. Moritz and A. Westphal, Gaugino condensation and small uplifts in KKLT, JHEP 08 (2019) 141 [arXiv:1902.01412] [INSPIRE].
X. Gao, A. Hebecker and D. Junghans, Control issues of KKLT, Fortsch. Phys. 68 (2020) 2000089 [arXiv:2009.03914] [INSPIRE].
I. Bena, J. Blåbäck, M. Graña and S. Lüst, The tadpole problem, JHEP 11 (2021) 223 [arXiv:2010.10519] [INSPIRE].
D. Junghans, LVS de Sitter vacua are probably in the swampland, Nucl. Phys. B 990 (2023) 116179 [arXiv:2201.03572] [INSPIRE].
X. Gao, A. Hebecker, S. Schreyer and G. Venken, The LVS parametric tadpole constraint, JHEP 07 (2022) 056 [arXiv:2202.04087] [INSPIRE].
D. Junghans, Topological constraints in the LARGE-volume scenario, JHEP 08 (2022) 226 [arXiv:2205.02856] [INSPIRE].
A. Hebecker, S. Schreyer and G. Venken, Curvature corrections to KPV: do we need deep throats?, JHEP 10 (2022) 166 [arXiv:2208.02826] [INSPIRE].
S. Schreyer and G. Venken, α’ corrections to KPV: an uplifting story, JHEP 07 (2023) 235 [arXiv:2212.07437] [INSPIRE].
I. Bena, E. Dudas, M. Graña and S. Lüst, Uplifting Runaways, Fortsch. Phys. 67 (2019) 1800100 [arXiv:1809.06861] [INSPIRE].
R. Blumenhagen, D. Kläwer and L. Schlechter, Swampland Variations on a Theme by KKLT, JHEP 05 (2019) 152 [arXiv:1902.07724] [INSPIRE].
I. Bena, A. Buchel and S. Lüst, Throat destabilization (for profit and for fun), arXiv:1910.08094 [INSPIRE].
L. Randall, The Boundaries of KKLT, Fortsch. Phys. 68 (2020) 1900105 [arXiv:1912.06693] [INSPIRE].
M. Scalisi, P. Soler, V. Van Hemelryck and T. Van Riet, Conifold dynamics and axion monodromies, JHEP 10 (2020) 133 [arXiv:2007.15391] [INSPIRE].
S. Lüst and L. Randall, Effective Theory of Warped Compactifications and the Implications for KKLT, Fortsch. Phys. 70 (2022) 2200103 [arXiv:2206.04708] [INSPIRE].
C.P. Bachas, P. Bain and M.B. Green, Curvature terms in D-brane actions and their M theory origin, JHEP 05 (1999) 011 [hep-th/9903210] [INSPIRE].
M.R. Garousi, T-duality of Curvature terms in D-brane actions, JHEP 02 (2010) 002 [arXiv:0911.0255] [INSPIRE].
M.R. Garousi, Ramond-Ramond field strength couplings on D-branes, JHEP 03 (2010) 126 [arXiv:1002.0903] [INSPIRE].
M.R. Garousi, T-duality of anomalous Chern-Simons couplings, Nucl. Phys. B 852 (2011) 320 [arXiv:1007.2118] [INSPIRE].
M.R. Garousi and M. Mir, Towards extending the Chern-Simons couplings at order O(α′2), JHEP 05 (2011) 066 [arXiv:1102.5510] [INSPIRE].
D. Robbins and Z. Wang, Higher Derivative Corrections to O-plane Actions: NS-NS Sector, JHEP 05 (2014) 072 [arXiv:1401.4180] [INSPIRE].
M.R. Garousi, T-duality of O-plane action at order α′2, Phys. Lett. B 747 (2015) 53 [arXiv:1412.8131] [INSPIRE].
A. Jalali and M.R. Garousi, D-brane action at order α′2, Phys. Rev. D 92 (2015) 106004 [arXiv:1506.02130] [INSPIRE].
M.R. Garousi, Off-shell D-brane action at order α′2 in flat spacetime, Phys. Rev. D 93 (2016) 066014 [arXiv:1511.01676] [INSPIRE].
A. Jalali and M.R. Garousi, Higher derivative corrections to the Wess-Zumino action, Phys. Rev. D 94 (2016) 086002 [arXiv:1606.02082] [INSPIRE].
K. Babaei Velni and A. Jalali, Higher derivative corrections to DBI action at α′2 order, Phys. Rev. D 95 (2017) 086010 [arXiv:1612.05898] [INSPIRE].
M.R. Garousi and S. Karimi, Couplings of order six in the gauge field strength and the second fundamental form on Dp-branes at order α′2, Phys. Rev. D 106 (2022) 066016 [arXiv:2207.09834] [INSPIRE].
M.R. Douglas, D-branes and matrix theory in curved space, Nucl. Phys. B Proc. Suppl. 68 (1998) 381 [hep-th/9707228] [INSPIRE].
M.R. Douglas, D-branes in curved space, Adv. Theor. Math. Phys. 1 (1998) 198 [hep-th/9703056] [INSPIRE].
M.R. Douglas, A. Kato and H. Ooguri, D-brane actions on Kahler manifolds, Adv. Theor. Math. Phys. 1 (1998) 237 [hep-th/9708012] [INSPIRE].
C.M. Hull, Matrix theory, U duality and toroidal compactifications of M theory, JHEP 10 (1998) 011 [hep-th/9711179] [INSPIRE].
H. Dorn, NonAbelian gauge field dynamics on matrix D-branes, Nucl. Phys. B 494 (1997) 105 [hep-th/9612120] [INSPIRE].
M.R. Garousi and R.C. Myers, World volume interactions on D-branes, Nucl. Phys. B 542 (1999) 73 [hep-th/9809100] [INSPIRE].
M.R. Garousi and R.C. Myers, World volume potentials on D-branes, JHEP 11 (2000) 032 [hep-th/0010122] [INSPIRE].
R.C. Myers, NonAbelian phenomena on D branes, Class. Quant. Grav. 20 (2003) S347 [hep-th/0303072] [INSPIRE].
A.A. Tseytlin, On nonAbelian generalization of Born-Infeld action in string theory, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125] [INSPIRE].
W. Taylor and M. Van Raamsdonk, Multiple D0-branes in weakly curved backgrounds, Nucl. Phys. B 558 (1999) 63 [hep-th/9904095] [INSPIRE].
A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, hep-th/9908105 [https://doi.org/10.1142/9789812793850_0025] [INSPIRE].
A. Hashimoto and W. Taylor, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys. B 503 (1997) 193 [hep-th/9703217] [INSPIRE].
F.F. Gautason, M. Schillo and T. Van Riet, Is inflation from unwinding fluxes IIB?, JHEP 03 (2017) 037 [arXiv:1611.07037] [INSPIRE].
I. Bena, J. Blåbäck, R. Savelli and G. Zoccarato, The two faces of T-branes, JHEP 10 (2019) 150 [arXiv:1905.03267] [INSPIRE].
M.B. Green and M. Gutperle, Comments on three-branes, Phys. Lett. B 377 (1996) 28 [hep-th/9602077] [INSPIRE].
A. Basu, Constraining the D3-brane effective action, JHEP 09 (2008) 124 [arXiv:0808.2060] [INSPIRE].
M.R. Garousi, S-duality of D-brane action at order O(α′2), Phys. Lett. B 701 (2011) 465 [arXiv:1103.3121] [INSPIRE].
M. Fernández Guasti, A. Meléndez Cobarrubias, F.J. Renero Carrillo and A. Cornejo Rodríguez, LCD pixel shape and far-field diffraction patterns, Optik 116 (2005) 265.
T. Van Riet and G. Zoccarato, Beginners lectures on flux compactifications and related Swampland topics, Phys. Rept. 1049 (2024) 1 [arXiv:2305.01722] [INSPIRE].
Acknowledgments
I thank Arthur Hebecker, Ruben Küspert, Severin Lüst, and Gerben Venken for valuable discussions. I thank Ruben Küspert and Severin Lüst for comments on a draft of this manuscript.
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Schreyer, S. Higher order corrections to KPV: The nonabelian brane stack perspective. J. High Energ. Phys. 2024, 75 (2024). https://doi.org/10.1007/JHEP07(2024)075
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DOI: https://doi.org/10.1007/JHEP07(2024)075