Abstract
We study 4d \( \mathcal{N} \) = 1 gauge theories engineered via D-branes at orientifolds of toric singularities, where gauge anomalies are cancelled without the introduction of non-compact flavor branes. Using dimer model techniques, we derive geometric criteria for establishing whether a given singularity can admit anomaly-free D-brane configurations purely based on its toric data and the type of orientifold projection. Our results therefore extend the dictionary between geometric properties of singularities and physical properties of the corresponding gauge theories.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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) × 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 χSB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S2 × S3, Adv. Theor. Math. Phys. 8 (2004) 711 [hep-th/0403002] [INSPIRE].
M. Bertolini, F. Bigazzi and A. L. Cotrone, New checks and subtleties for AdS/CFT and a-maximization, JHEP 12 (2004) 024 [hep-th/0411249] [INSPIRE].
S. Benvenuti, S. Franco, A. Hanany, D. Martelli and J. Sparks, An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals, JHEP 06 (2005) 064 [hep-th/0411264] [INSPIRE].
M. Cvetič, H. Lü, D. N. Page and C. N. Pope, New Einstein-Sasaki spaces in five and higher dimensions, Phys. Rev. Lett. 95 (2005) 071101 [hep-th/0504225] [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].
A. Butti, D. Forcella and A. Zaffaroni, The Dual superconformal theory for Lp,q,r manifolds, JHEP 09 (2005) 018 [hep-th/0505220] [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].
M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde and M. Wijnholt, D-branes at Singularities, Compactification, and Hypercharge, JHEP 01 (2007) 107 [hep-th/0610007] [INSPIRE].
D. Malyshev and H. Verlinde, D-branes at singularities and string phenomenology, Nucl. Phys. B Proc. Suppl. 171 (2007) 139 [arXiv:0711.2451] [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].
B. Feng, S. Franco, A. Hanany and Y.-H. He, Symmetries of toric duality, JHEP 12 (2002) 076 [hep-th/0205144] [INSPIRE].
D. Berenstein and M. R. Douglas, Seiberg duality for quiver gauge theories, hep-th/0207027 [INSPIRE].
A. Hanany and K. D. Kennaway, Dimer models and toric diagrams, hep-th/0503149 [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].
A. Sagnotti, Open Strings and their Symmetry Groups, in NATO Advanced Summer Institute on Nonperturbative Quantum Field Theory (Cargese Summer Institute), pp. 0521–528 (1987) [hep-th/0208020] [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].
E. G. Gimon and J. Polchinski, Consistency conditions for orientifolds and d manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038] [INSPIRE].
M. R. Douglas and G. W. Moore, D-branes, quivers, and ALE instantons, hep-th/9603167 [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].
R. Argurio and M. Bertolini, Orientifolds and duality cascades: confinement before the wall, JHEP 02 (2018) 149 [arXiv:1711.08983] [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].
M. Bianchi, F. Fucito and J. F. Morales, D-brane instantons on the T6/Z3 orientifold, JHEP 07 (2007) 038 [arXiv:0704.0784] [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].
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].
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].
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. G. Leigh and M. Rozali, Brane boxes, anomalies, bending and tadpoles, Phys. Rev. D 59 (1999) 026004 [hep-th/9807082] [INSPIRE].
M. Bianchi and J. F. Morales, Anomalies & tadpoles, JHEP 03 (2000) 030 [hep-th/0002149] [INSPIRE].
M. Bianchi, G. Inverso, J. F. Morales and D. Ricci Pacifici, Unoriented Quivers with Flavour, JHEP 01 (2014) 128 [arXiv:1307.0466] [INSPIRE].
S. Franco, A. Retolaza and A. Uranga, D-brane Instantons as Gauge Instantons in Orientifolds of Chiral Quiver Theories, JHEP 11 (2015) 165 [arXiv:1507.05330] [INSPIRE].
J. Park, R. Rabadán and A. M. Uranga, Orientifolding the conifold, Nucl. Phys. B 570 (2000) 38 [hep-th/9907086] [INSPIRE].
M. Bianchi, D. Bufalini, S. Mancani and F. Riccioni, Mass deformations of unoriented quiver theories, JHEP 07 (2020) 015 [arXiv:2003.09620] [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].
D.-E. Diaconescu, M. R. Douglas and J. Gomis, Fractional branes and wrapped branes, JHEP 02 (1998) 013 [hep-th/9712230] [INSPIRE].
A. Butti, Deformations of Toric Singularities and Fractional Branes, JHEP 10 (2006) 080 [hep-th/0603253] [INSPIRE].
A. M. Uranga, D-brane probes, RR tadpole cancellation and k-theory charge, Nucl. Phys. B 598 (2001) 225 [hep-th/0011048] [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].
S. Benvenuti, A. Hanany and P. Kazakopoulos, The Toric phases of the Yp,q quivers, JHEP 07 (2005) 021 [hep-th/0412279] [INSPIRE].
A. Butti and A. Zaffaroni, From toric geometry to quiver gauge theory: The Equivalence of a-maximization and Z-minimization, Fortsch. Phys. 54 (2006) 309 [hep-th/0512240] [INSPIRE].
J. S. Scott, Grassmannians and cluster algebras, Proc. Lond. Math. Soc. 92 (2006) 345.
A. B. Goncharov and R. Kenyon, Dimers and cluster integrable systems, Annales Sci. École Norm. Sup. 46 (2013) 747 arXiv:1107.5588 [INSPIRE].
V.V. Fock, Inverse spectral problem for GK integrable system, arXiv:1503.00289.
B. Feng, S. Franco, A. Hanany and Y.-H. He, UnHiggsing the del Pezzo, JHEP 08 (2003) 058 [hep-th/0209228] [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].
I. García-Etxebarria and B. Heidenreich, Strongly coupled phases of \( \mathcal{N} \) = 1 S-duality, JHEP 09 (2015) 032 [arXiv:1506.03090] [INSPIRE].
I. García-Etxebarria and B. Heidenreich, S-duality in \( \mathcal{N} \) = 1 orientifold SCFTs, Fortsch. Phys. 65 (2017) 1700013 [arXiv:1612.00853] [INSPIRE].
A. Retolaza and A. Uranga, Orientifolds of Warped Throats from Toric Calabi-Yau Singularities, JHEP 07 (2016) 135 [arXiv:1605.01732] [INSPIRE].
M. Yamazaki, Brane Tilings and Their Applications, Fortsch. Phys. 56 (2008) 555 [arXiv:0803.4474] [INSPIRE].
R. Argurio et al., The Octagon and the Non-Supersymmetric String Landscape, arXiv:2005.09671 [INSPIRE].
R. Argurio et al., Dimers, Orientifolds and Stability of Supersymmetry Breaking Vacua, JHEP 01 (2021) 061 [arXiv:2007.13762] [INSPIRE].
M. Bianchi, S. Cremonesi, A. Hanany, J. F. Morales, D. Ricci Pacifici and R.-K. Seong, Mass-deformed Brane Tilings, JHEP 10 (2014) 027 [arXiv:1408.1957] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2009.11291
Rights and permissions
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.
About this article
Cite this article
Argurio, R., Bertolini, M., Franco, S. et al. Dimers, orientifolds and anomalies. J. High Energ. Phys. 2021, 153 (2021). https://doi.org/10.1007/JHEP02(2021)153
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2021)153