Abstract
We study the backreaction of smeared and localised anti M2-branes placed at the tip of the CGLP background. To this end we derive a Smarr relation for backreacted antibranes at zero and finite temperature. For extremal antibranes we show that if smeared they cannot have regular horizons, whereas localised M2-branes can potentially be regular when polarised into M5-branes, in agreement with the probe result of Klebanov and Pufu. We further discuss antibranes at finite temperature and argue that localised antibrane solutions with regular horizons are not excluded.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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, R. Kallosh, A.D. Linde, J.M. Maldacena, L.P. McAllister and S.P. Trivedi, Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].
I. Bena, A. Puhm and B. Vercnocke, Non-extremal Black Hole Microstates: Fuzzballs of Fire or Fuzzballs of Fuzz?, JHEP 12 (2012) 014 [arXiv:1208.3468] [INSPIRE].
I. Bena, A. Puhm and B. Vercnocke, Metastable Supertubes and non-extremal Black Hole Microstates, JHEP 04 (2012) 100 [arXiv:1109.5180] [INSPIRE].
J.M. Maldacena and H.S. Nastase, The supergravity dual of a theory with dynamical supersymmetry breaking, JHEP 09 (2001) 024 [hep-th/0105049] [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. Argurio, M. Bertolini, S. Franco and S. Kachru, Gauge/gravity duality and meta-stable dynamical supersymmetry breaking, JHEP 01 (2007) 083 [hep-th/0610212] [INSPIRE].
R. Argurio, M. Bertolini, S. Franco and S. Kachru, Meta-stable vacua and D-branes at the conifold, JHEP 06 (2007) 017 [hep-th/0703236] [INSPIRE].
O. DeWolfe, S. Kachru and M. Mulligan, A Gravity Dual of Metastable Dynamical Supersymmetry Breaking, Phys. Rev. D 77 (2008) 065011 [arXiv:0801.1520] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Ricci flat metrics, harmonic forms and brane resolutions, Commun. Math. Phys. 232 (2003) 457 [hep-th/0012011] [INSPIRE].
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].
I.R. Klebanov and S.S. Pufu, M-Branes and Metastable States, JHEP 08 (2011) 035 [arXiv:1006.3587] [INSPIRE].
I. Bena, G. Giecold and N. Halmagyi, The Backreaction of Anti-M2 Branes on a Warped Stenzel Space, JHEP 04 (2011) 120 [arXiv:1011.2195] [INSPIRE].
S. Massai, Metastable Vacua and the Backreacted Stenzel Geometry, JHEP 06 (2012) 059 [arXiv:1110.2513] [INSPIRE].
W. Cottrell, J. Gaillard and A. Hashimoto, Gravity dual of dynamically broken supersymmetry, JHEP 08 (2013) 105 [arXiv:1303.2634] [INSPIRE].
G. Giecold, F. Orsi and A. Puhm, Insane Anti-Membranes?, JHEP 03 (2014) 041 [arXiv:1303.1809] [INSPIRE].
J. Blabäck, Note on M2-branes in opposite charge, Phys. Rev. D 89 (2014) 065004 [arXiv:1309.2640] [INSPIRE].
J. Blabäck, U.H. Danielsson and T. Van Riet, Resolving anti-brane singularities through time-dependence, JHEP 02 (2013) 061 [arXiv:1202.1132] [INSPIRE].
U.H. Danielsson and T. Van Riet, Fatal attraction: more on decaying anti-branes, JHEP 03 (2015) 087 [arXiv:1410.8476] [INSPIRE].
F.F. Gautason, B. Truijen and T. Van Riet, Smeared antibranes polarise in AdS, JHEP 07 (2015) 165 [arXiv:1502.00927] [INSPIRE].
S.S. Gubser, Curvature singularities: The good, the bad and the naked, Adv. Theor. Math. Phys. 4 (2000) 679 [hep-th/0002160] [INSPIRE].
G.S. Hartnett, Localised Anti-Branes in Flux Backgrounds, JHEP 06 (2015) 007 [arXiv:1501.06568] [INSPIRE].
I. Bena, M. Graña and N. Halmagyi, On the Existence of Meta-stable Vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519] [INSPIRE].
P. McGuirk, G. Shiu and Y. Sumitomo, Non-supersymmetric infrared perturbations to the warped deformed conifold, Nucl. Phys. B 842 (2011) 383 [arXiv:0910.4581] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, On Metastable Vacua and the Warped Deformed Conifold: Analytic Results, Class. Quant. Grav. 30 (2013) 015003 [arXiv:1102.2403] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, The backreaction of anti-D3 branes on the Klebanov-Strassler geometry, JHEP 06 (2013) 060 [arXiv:1106.6165] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Anti-D3 Branes: Singular to the bitter end, Phys. Rev. D 87 (2013) 106010 [arXiv:1206.6369] [INSPIRE].
J. Blabäck, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase and M. Zagermann, (Anti-)Brane backreaction beyond perturbation theory, JHEP 02 (2012) 025 [arXiv:1111.2605] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Polchinski-Strassler does not uplift Klebanov-Strassler, JHEP 09 (2013) 142 [arXiv:1212.4828] [INSPIRE].
I. Bena, A. Buchel and O.J.C. Dias, Horizons cannot save the Landscape, Phys. Rev. D 87 (2013) 063012 [arXiv:1212.5162] [INSPIRE].
I. Bena, J. Blabäck, U.H. Danielsson and T. Van Riet, Antibranes cannot become black, Phys. Rev. D 87 (2013) 104023 [arXiv:1301.7071] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Giant Tachyons in the Landscape, JHEP 02 (2015) 146 [arXiv:1410.7776] [INSPIRE].
J. Blabäck, U.H. Danielsson, D. Junghans, T. Van Riet and S.C. Vargas, Localised anti-branes in non-compact throats at zero and finite T , JHEP 02 (2015) 018 [arXiv:1409.0534] [INSPIRE].
I. Bena and S. Kuperstein, Brane polarization is no cure for tachyons, JHEP 09 (2015) 112 [arXiv:1504.00656] [INSPIRE].
B. Michel, E. Mintun, J. Polchinski, A. Puhm and P. Saad, Remarks on brane and antibrane dynamics, JHEP 09 (2015) 021 [arXiv:1412.5702] [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, D3 and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].
D. Cohen-Maldonado, J. Diaz, T. van Riet and B. Vercnocke, Observations on fluxes near anti-branes, JHEP 01 (2016) 126 [arXiv:1507.01022] [INSPIRE].
D. Cohen-Maldonado, J. Diaz, T. Van Riet and B. Vercnocke, From black holes to flux throats, Fortsch. Phys. 64 (2016) 317 [arXiv:1511.07453] [INSPIRE].
F.F. Gautason, D. Junghans and M. Zagermann, Cosmological Constant, Near Brane Behavior and Singularities, JHEP 09 (2013) 123 [arXiv:1301.5647] [INSPIRE].
R. Emparan and H.S. Reall, A rotating black ring solution in five-dimensions, Phys. Rev. Lett. 88 (2002) 101101 [hep-th/0110260] [INSPIRE].
G.W. Gibbons and N.P. Warner, Global structure of five-dimensional fuzzballs, Class. Quant. Grav. 31 (2014) 025016 [arXiv:1305.0957] [INSPIRE].
T. Eguchi and A.J. Hanson, Asymptotically Flat Selfdual Solutions to Euclidean Gravity, Phys. Lett. B 74 (1978) 249 [INSPIRE].
P. Candelas and X.C. de la Ossa, Comments on Conifolds, Nucl. Phys. B 342 (1990) 246 [INSPIRE].
M.B. Stenzel, Ricci-flat metrics on the complexification of a compact rank one symmetric space, Manuscripta Math. 80 (1993) 151.
P.K. Townsend and M. Zamaklar, The first law of black brane mechanics, Class. Quant. Grav. 18 (2001) 5269 [hep-th/0107228] [INSPIRE].
R.C. Myers and M.J. Perry, Black Holes in Higher Dimensional Space-Times, Annals Phys. 172 (1986) 304 [INSPIRE].
F. Ferrari and A. Rovai, Gravity and On-Shell Probe Actions, arXiv:1602.07177 [INSPIRE].
K. Copsey and G.T. Horowitz, The role of dipole charges in black hole thermodynamics, Phys. Rev. D 73 (2006) 024015 [hep-th/0505278] [INSPIRE].
T. Ortín, Gravity and strings, Cambridge University Press (2004).
L.F. Abbott and S. Deser, Stability of Gravity with a Cosmological Constant, Nucl. Phys. B 195 (1982) 76 [INSPIRE].
A. Bergman and C.P. Herzog, The volume of some nonspherical horizons and the AdS/CFT correspondence, JHEP 01 (2002) 030 [hep-th/0108020] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1603.05678
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Cohen-Maldonado, D., Diaz, J. & Gautason, F.F. Polarised antibranes from Smarr relations. J. High Energ. Phys. 2016, 175 (2016). https://doi.org/10.1007/JHEP05(2016)175
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2016)175