Abstract
We revisit D3-branes at toric CY3 singularities with orientifolds and their description in terms of dimer models. We classify orientifold actions on the dimer through smooth involutions of the torus. In particular, we describe new orientifold projections related to maps on the dimer without fixed points, leading to Klein bottles. These new orientifolds lead to novel \( \mathcal{N} \) = 1 SCFT’s that resemble, in many aspects, non-orientifolded theories. For instance, we recover the presence of fractional branes and some of them trigger a cascading RG-flow à la Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, thus exhausting the possible orientifolds on dimers.
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References
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [INSPIRE].
I.R. Klebanov and N.A. Nekrasov, Gravity duals of fractional branes and logarithmic RG flow, Nucl. Phys. B 574 (2000) 263 [hep-th/9911096] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) x SU(N+M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [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].
B. Feng, A. Hanany and Y.-H. He, D-brane gauge theories from toric singularities and toric duality, Nucl. Phys. B 595 (2001) 165 [hep-th/0003085] [INSPIRE].
B. Feng, A. Hanany and Y.-H. He, Phase structure of D-brane gauge theories and toric duality, JHEP 08 (2001) 040 [hep-th/0104259] [INSPIRE].
C.E. Beasley and M.R. Plesser, Toric duality is Seiberg duality, JHEP 12 (2001) 001 [hep-th/0109053] [INSPIRE].
B. Feng, A. Hanany, Y.-H. He and A.M. Uranga, Toric duality as Seiberg duality and brane diamonds, JHEP 12 (2001) 035 [hep-th/0109063] [INSPIRE].
D. Berenstein, C.P. Herzog, P. Ouyang and S. Pinansky, Supersymmetry breaking from a Calabi-Yau singularity, JHEP 09 (2005) 084 [hep-th/0505029] [INSPIRE].
S. Franco, A. Hanany, F. Saad and A.M. Uranga, Fractional branes and dynamical supersymmetry breaking, JHEP 01 (2006) 011 [hep-th/0505040] [INSPIRE].
M. Bertolini, F. Bigazzi and A.L. Cotrone, Supersymmetry breaking at the end of a cascade of Seiberg dualities, Phys. Rev. D 72 (2005) 061902 [hep-th/0505055] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Instanton induced open string superpotentials and branes at singularities, JHEP 02 (2008) 103 [arXiv:0711.1316] [INSPIRE].
E. García-Valdecasas Tenreiro and A. Uranga, Backreacting D-brane instantons on branes at singularities, JHEP 08 (2017) 061 [arXiv:1704.05888] [INSPIRE].
G. Aldazabal, L.E. Ibáñez, F. Quevedo and A.M. Uranga, D-branes at singularities: A Bottom up approach to the string embedding of the standard model, JHEP 08 (2000) 002 [hep-th/0005067] [INSPIRE].
D. Berenstein, V. Jejjala and R.G. Leigh, The Standard model on a D-brane, Phys. Rev. Lett. 88 (2002) 071602 [hep-ph/0105042] [INSPIRE].
H. Verlinde and M. Wijnholt, Building the standard model on a D3-brane, JHEP 01 (2007) 106 [hep-th/0508089] [INSPIRE].
S. Franco, D. Galloni, A. Retolaza and A. Uranga, On axion monodromy inflation in warped throats, JHEP 02 (2015) 086 [arXiv:1405.7044] [INSPIRE].
A. Retolaza, A.M. Uranga and A. Westphal, Bifid Throats for Axion Monodromy Inflation, JHEP 07 (2015) 099 [arXiv:1504.02103] [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].
G. Buratti, E. García-Valdecasas and A.M. Uranga, Supersymmetry Breaking Warped Throats and the Weak Gravity Conjecture, JHEP 04 (2019) 111 [arXiv:1810.07673] [INSPIRE].
R. Argurio, M. Bertolini, S. Meynet and A. Pasternak, On supersymmetry breaking vacua from D-branes at orientifold singularities, JHEP 12 (2019) 145 [arXiv:1909.04682] [INSPIRE].
R. Argurio et al., The Octagon and the Non-Supersymmetric String Landscape, Phys. Lett. B 815 (2021) 136153 [arXiv:2005.09671] [INSPIRE].
R. Argurio et al., Dimers, Orientifolds and Stability of Supersymmetry Breaking Vacua, JHEP 01 (2021) 061 [arXiv:2007.13762] [INSPIRE].
A. Hanany and K.D. Kennaway, Dimer models and toric diagrams, hep-th/0503149 [INSPIRE].
S. Franco, A. Hanany, D. Martelli, J. Sparks, D. Vegh and B. Wecht, Gauge theories from toric geometry and brane tilings, JHEP 01 (2006) 128 [hep-th/0505211] [INSPIRE].
S. Franco, A. Hanany, K.D. Kennaway, D. Vegh and B. Wecht, Brane dimers and quiver gauge theories, JHEP 01 (2006) 096 [hep-th/0504110] [INSPIRE].
G. Pradisi and A. Sagnotti, Open String Orbifolds, Phys. Lett. B 216 (1989) 59 [INSPIRE].
P. Hořava, Strings on World Sheet Orbifolds, Nucl. Phys. B 327 (1989) 461 [INSPIRE].
J. Dai, R.G. Leigh and J. Polchinski, New Connections Between String Theories, Mod. Phys. Lett. A 4 (1989) 2073 [INSPIRE].
M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517 [INSPIRE].
M. Bianchi and A. Sagnotti, Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519 [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana Masses from String Theory Instanton Effects, JHEP 03 (2007) 052 [hep-th/0609213] [INSPIRE].
R. Argurio, M. Bertolini, G. Ferretti, A. Lerda and C. Petersson, Stringy instantons at orbifold singularities, JHEP 06 (2007) 067 [arXiv:0704.0262] [INSPIRE].
R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-Brane Instantons in Type II Orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [INSPIRE].
S. Franco, A. Hanany, D. Krefl, J. Park, A.M. Uranga and D. Vegh, Dimers and orientifolds, JHEP 09 (2007) 075 [arXiv:0707.0298] [INSPIRE].
D. Dugger, Involutions on surfaces, J. Homotopy Relat. Struct. 14 (2019) 919.
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
L.E. Ibáñez, R. Rabadán and A.M. Uranga, Anomalous U(1)′s in type-I and type IIB D = 4, N = 1 string vacua, Nucl. Phys. B 542 (1999) 112 [hep-th/9808139] [INSPIRE].
A. Hanany and D. Vegh, Quivers, tilings, branes and rhombi, JHEP 10 (2007) 029 [hep-th/0511063] [INSPIRE].
B. Feng, Y.-H. He, K.D. Kennaway and C. Vafa, Dimer models from mirror symmetry and quivering amoebae, Adv. Theor. Math. Phys. 12 (2008) 489 [hep-th/0511287] [INSPIRE].
S. Franco and D. Vegh, Moduli spaces of gauge theories from dimer models: Proof of the correspondence, JHEP 11 (2006) 054 [hep-th/0601063] [INSPIRE].
W. Thurston, The geometry and topology of three-manifolds, Notes (2002), http://library.msri.org/books/gt3m/.
A. Butti, Deformations of Toric Singularities and Fractional Branes, JHEP 10 (2006) 080 [hep-th/0603253] [INSPIRE].
R. Argurio et al., Dimers, Orientifolds and Anomalies, JHEP 02 (2021) 153 [arXiv:2009.11291] [INSPIRE].
S. Imai and T. Yokono, Comments on orientifold projection in the conifold and SO × USp duality cascade, Phys. Rev. D 65 (2002) 066007 [hep-th/0110209] [INSPIRE].
A. Antinucci, S. Mancani and F. Riccioni, Infrared duality in unoriented Pseudo del Pezzo, Phys. Lett. B 811 (2020) 135902 [arXiv:2007.14749] [INSPIRE].
Y. Imamura, K. Kimura and M. Yamazaki, Anomalies and O-plane charges in orientifolded brane tilings, JHEP 03 (2008) 058 [arXiv:0801.3528] [INSPIRE].
A. Dabholkar and J. Park, Strings on orientifolds, Nucl. Phys. B 477 (1996) 701 [hep-th/9604178] [INSPIRE].
E. Witten, Toroidal compactification without vector structure, JHEP 02 (1998) 006 [hep-th/9712028] [INSPIRE].
J. Park and A.M. Uranga, A Note on superconformal N = 2 theories and orientifolds, Nucl. Phys. B 542 (1999) 139 [hep-th/9808161] [INSPIRE].
J. Park, R. Rabadán and A.M. Uranga, N = 1 type IIA brane configurations, chirality and T duality, Nucl. Phys. B 570 (2000) 3 [hep-th/9907074] [INSPIRE].
A.M. Uranga, A New orientifold of C**2/Z(N) and six-dimensional RG fixed points, Nucl. Phys. B 577 (2000) 73 [hep-th/9910155] [INSPIRE].
I.P. Ennes, C. Lozano, S.G. Naculich and H.J. Schnitzer, Elliptic models, type IIB orientifolds and the AdS/CFT correspondence, Nucl. Phys. B 591 (2000) 195 [hep-th/0006140] [INSPIRE].
B. Feng, Y.-H. He, A. Karch and A.M. Uranga, Orientifold dual for stuck NS5-branes, JHEP 06 (2001) 065 [hep-th/0103177] [INSPIRE].
N.J. Evans, C.V. Johnson and A.D. Shapere, Orientifolds, branes, and duality of 4 – D gauge theories, Nucl. Phys. B 505 (1997) 251 [hep-th/9703210] [INSPIRE].
A. Retolaza and A. Uranga, Orientifolds of Warped Throats from Toric Calabi-Yau Singularities, JHEP 07 (2016) 135 [arXiv:1605.01732] [INSPIRE].
D. Cox, J. Little and H. Schenck, Toric Varieties, Graduate Studies in Mathematics, AMS Press, Providence U.S.A. (2011).
R. Argurio and M. Bertolini, Orientifolds and duality cascades: confinement before the wall, JHEP 02 (2018) 149 [arXiv:1711.08983] [INSPIRE].
I. García-Etxebarria and D. Regalado, \( \mathcal{N} \) = 3 four dimensional field theories, JHEP 03 (2016) 083 [arXiv:1512.06434] [INSPIRE].
O. Aharony and Y. Tachikawa, S-folds and 4d N = 3 superconformal field theories, JHEP 06 (2016) 044 [arXiv:1602.08638] [INSPIRE].
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García-Valdecasas, E., Meynet, S., Pasternak, A. et al. Dimers in a bottle. J. High Energ. Phys. 2021, 274 (2021). https://doi.org/10.1007/JHEP04(2021)274
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DOI: https://doi.org/10.1007/JHEP04(2021)274