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Zoology of heterotic supercurrent supermultiplets in \(d\) = 2. (English) Zbl 1342.83497

Summary: We present various \((0, 2)\) heterotic supercurrent supermultiplets in \((1 + 1)\) dimensional quantum field theories. From the minimal supercurrent supermultiplets, we deduce conditions on symmetry enhancement such as Lorentz invariance, (chiral) dilatation invariance, R-invariance, (chiral) conformal invariance and their various combinations. Our construction covers many interesting and/or exotic possibilities such as Lifshitz supersymmetry and warped superconformal algebra. We also discuss the corresponding supergravity by gauging the supercurrent supermultiplet. In particular, we propose a novel class of heterotic supergravity based on the virial supercurrent.

MSC:

83E50 Supergravity
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[1] Z. Komargodski and N. Seiberg, Comments on supercurrent multiplets, supersymmetric field theories and supergravity, JHEP07 (2010) 017 [arXiv:1002.2228] [INSPIRE]. · Zbl 1290.81073 · doi:10.1007/JHEP07(2010)017
[2] T.T. Dumitrescu and N. Seiberg, Supercurrents and brane currents in diverse dimensions, JHEP07 (2011) 095 [arXiv:1106.0031] [INSPIRE]. · Zbl 1298.81171 · doi:10.1007/JHEP07(2011)095
[3] Z. Komargodski and N. Seiberg, Comments on the Fayet-Iliopoulos term in field theory and supergravity, JHEP06 (2009) 007 [arXiv:0904.1159] [INSPIRE]. · doi:10.1088/1126-6708/2009/06/007
[4] K.R. Dienes and B. Thomas, On the inconsistency of Fayet-Iliopoulos terms in supergravity theories, Phys. Rev. D 81 (2010) 065023 [arXiv:0911.0677] [INSPIRE].
[5] S.M. Kuzenko, The Fayet-Iliopoulos term and nonlinear self-duality, Phys. Rev. D 81 (2010) 085036 [arXiv:0911.5190] [INSPIRE].
[6] D. Butter, Conserved supercurrents and Fayet-Iliopoulos terms in supergravity, arXiv:1003.0249 [INSPIRE].
[7] S.M. Kuzenko, Variant supercurrents and Noether procedure, Eur. Phys. J. C 71 (2011) 1513 [arXiv:1008.1877] [INSPIRE].
[8] D. Arnold, J.-P. Derendinger and J. Hartong, On supercurrent superfields and Fayet-Iliopoulos terms in N = 1 gauge theories, Nucl. Phys. B 867 (2013) 370 [arXiv:1208.1648] [INSPIRE]. · Zbl 1262.81101 · doi:10.1016/j.nuclphysb.2012.10.010
[9] S.J. Gates Jr., M.T. Grisaru and W. Siegel, Auxiliary field anomalies, Nucl. Phys. B 203 (1982) 189 [INSPIRE]. · doi:10.1016/0550-3213(82)90027-X
[10] S.J. Gates Jr., M.T. Grisaru, M. Roček and W. Siegel, Superspace or one thousand and one lessons in supersymmetry, Front. Phys.58 (1983) 1 [hep-th/0108200] [INSPIRE].
[11] S.M. Kuzenko, Variant supercurrent multiplets, JHEP04 (2010) 022 [arXiv:1002.4932] [INSPIRE]. · Zbl 1272.81183 · doi:10.1007/JHEP04(2010)022
[12] Y. Nakayama, Supercurrent, supervirial and superimprovement, Phys. Rev. D 87 (2013) 085005 [arXiv:1208.4726] [INSPIRE].
[13] Y. Nakayama, A lecture note on scale invariance vs conformal invariance, arXiv:1302.0884 [INSPIRE]. · Zbl 1202.81191
[14] K. Stelle and P.C. West, Minimal auxiliary fields for supergravity, Phys. Lett. B 74 (1978) 330 [INSPIRE].
[15] S. Ferrara and P. van Nieuwenhuizen, The auxiliary fields of supergravity, Phys. Lett. B 74 (1978) 333 [INSPIRE].
[16] E. Fradkin and M.A. Vasiliev, S matrix for theories that admit closure of the algebra with the aid of auxiliary fields: the auxiliary fields in supergravity, Lett. Nuovo Cim.22 (1978) 651 [INSPIRE]. · doi:10.1007/BF02783437
[17] S. Ferrara and B. Zumino, Transformation properties of the supercurrent, Nucl. Phys. B 87 (1975) 207 [INSPIRE]. · doi:10.1016/0550-3213(75)90063-2
[18] V. Akulov, D. Volkov and V. Soroka, On the general covariant theory of calibrating poles in superspace, Theor. Math. Phys. 31 (1977) 285 [Teor. Mat. Fiz.31 (1977) 12] [INSPIRE]. · doi:10.1007/BF01041233
[19] M.F. Sohnius and P.C. West, An alternative minimal off-shell version of N = 1 supergravity, Phys. Lett. B 105 (1981) 353 [INSPIRE].
[20] S.J. Gates Jr., S.M. Kuzenko and J. Phillips, The off-shell (3/2, 2) supermultiplets revisited, Phys. Lett. B 576 (2003) 97 [hep-th/0306288] [INSPIRE]. · Zbl 1073.81653
[21] D.M. Hofman and A. Strominger, Chiral scale and conformal invariance in 2D quantum field theory, Phys. Rev. Lett. 107 (2011) 161601 [arXiv:1107.2917] [INSPIRE]. · doi:10.1103/PhysRevLett.107.161601
[22] S. Detournay, T. Hartman and D.M. Hofman, Warped conformal field theory, Phys. Rev. D 86 (2012) 124018 [arXiv:1210.0539] [INSPIRE].
[23] A. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett.43 (1986) 730 [Pisma Zh. Eksp. Teor. Fiz.43 (1986) 565] [INSPIRE].
[24] J. Polchinski, Scale and conformal invariance in quantum field theory, Nucl. Phys. B 303 (1988) 226 [INSPIRE]. · doi:10.1016/0550-3213(88)90179-4
[25] R. Brooks, F. Muhammad and S.J. Gates Jr., Unidexterous D = 2 supersymmetry in superspace, Nucl. Phys. B 268 (1986) 599 [INSPIRE]. · doi:10.1016/0550-3213(86)90261-0
[26] M. Evans and B.A. Ovrut, The world sheet supergravity of the heterotic string, Phys. Lett. B 171 (1986) 177 [INSPIRE].
[27] E. Bergshoeff, E. Sezgin and H. Nishino, Heterotic σ-models and conformal supergravity in two-dimensions, Phys. Lett. B 166 (1986) 141 [INSPIRE].
[28] R. Brooks, F. Muhammad and S.J. Gates Jr., Extended D = 2 supergravity theories and their lower superspace realizations, Class. Quant. Grav. 5 (1988) 785 [INSPIRE]. · doi:10.1088/0264-9381/5/5/012
[29] J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton Univ. Pr., Princeton U.S.A. (1992).
[30] C. Hull and B.J. Spence, N = 2 current algebra and coset models, Phys. Lett. B 241 (1990) 357 [INSPIRE].
[31] H. Reeh and S. Schlieder, Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern (in German), Nuovo Cim. 22 (1961) 1051. · Zbl 0101.22402 · doi:10.1007/BF02787889
[32] R. Streater and A. Wightman, PCT, spin and statistics, and all that, Princeton University Press, Princeton U.S.A. (2000). · Zbl 1026.81027
[33] Y. Nakayama, Gravity dual for Hofman-Strominger theorem, Phys. Rev. D 85 (2012) 085032 [arXiv:1112.0635] [INSPIRE].
[34] G. Compère, W. Song and A. Strominger, Chiral Liouville gravity, JHEP05 (2013) 154 [arXiv:1303.2660] [INSPIRE]. · Zbl 1342.83347 · doi:10.1007/JHEP05(2013)154
[35] Y. Nakayama, Is boundary conformal in CFT?, Phys. Rev. D 87 (2013), no. 4 046005 [arXiv:1210.6439] [INSPIRE].
[36] E. Fradkin and A.A. Tseytlin, Quantum string theory effective action, Nucl. Phys. B 261 (1985) 1 [INSPIRE]. · doi:10.1016/0550-3213(85)90559-0
[37] S. Groot Nibbelink and L. Horstmeyer, Super Weyl invariance: BPS equations from heterotic worldsheets, JHEP07 (2012) 054 [arXiv:1203.6827] [INSPIRE]. · Zbl 1397.81275 · doi:10.1007/JHEP07(2012)054
[38] N. Berkovits, A new σ-model action for the four-dimensional Green-Schwarz heterotic superstring, Phys. Lett. B 304 (1993) 249 [hep-th/9303025] [INSPIRE].
[39] F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013), no. 6 061601 [arXiv:1211.4030] [INSPIRE]. · doi:10.1103/PhysRevLett.110.061601
[40] F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP06 (2013) 005 [arXiv:1302.4451] [INSPIRE]. · Zbl 1390.83325 · doi:10.1007/JHEP06(2013)005
[41] P. Karndumri and E. Ó. Colgáin, Supergravity dual of c-extremization, Phys. Rev. D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE].
[42] K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE]. · Zbl 1059.81602 · doi:10.1016/S0550-3213(03)00459-0
[43] R.C. Myers and A. Sinha, Holographic c-theorems in arbitrary dimensions, JHEP01 (2011) 125 [arXiv:1011.5819] [INSPIRE]. · Zbl 1214.83036 · doi:10.1007/JHEP01(2011)125
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