Abstract
We construct a novel tensionless limit of Superstring theory that realises the Inhomogeneous Super Galilean Conformal Algebra (SGCA I ) as the residual symmetry in the analogue of the conformal gauge, as opposed to previous constructions of the tensionless superstring, where a smaller symmetry algebra called the Homogeneous SGCA emerged as the residual gauge symmetry on the worldsheet. We obtain various features of the new tensionless theory intrinsically as well as from a systematic limit of the corresponding features of the tensile theory. We discuss why it is desirable and also natural to work with this new tensionless limit and the larger algebra.
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References
A. Schild, Classical null strings, Phys. Rev. D 16 (1977) 1722 [INSPIRE].
D.J. Gross and P.F. Mende, The high-energy behavior of string scattering amplitudes, Phys. Lett. B 197 (1987) 129 [INSPIRE].
D.J. Gross and P.F. Mende, String theory beyond the Planck scale, Nucl. Phys. B 303 (1988) 407 [INSPIRE].
D.J. Gross, High-energy symmetries of string theory, Phys. Rev. Lett. 60 (1988) 1229 [INSPIRE].
I.R. Klebanov and A.M. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [INSPIRE].
E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [Erratum ibid. B 660 (2003) 403] [hep-th/0205131] [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, An AdS 3 dual for minimal model CFTs, Phys. Rev. D 83 (2011) 066007 [arXiv:1011.2986] [INSPIRE].
M.A. Vasiliev, Higher spin gauge theories in various dimensions, Fortsch. Phys. 52 (2004) 702 [hep-th/0401177] [INSPIRE].
B. Sundborg, Stringy gravity, interacting tensionless strings and massless higher spins, Nucl. Phys. Proc. Suppl. 102 (2001) 113 [hep-th/0103247] [INSPIRE].
E. Witten, Spacetime reconstruction, talk given at JHS/60: Conference in Honor of John Schwarz’s 60th Birthday, November 3-4, California Institute of Technology, Pasadena (2001).
A. Sagnotti and M. Tsulaia, On higher spins and the tensionless limit of string theory, Nucl. Phys. B 682 (2004) 83 [hep-th/0311257] [INSPIRE].
C.-M. Chang, S. Minwalla, T. Sharma and X. Yin, ABJ triality: from higher spin fields to strings, J. Phys. A 46 (2013) 214009 [arXiv:1207.4485] [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, Higher spins & strings, JHEP 11 (2014) 044 [arXiv:1406.6103] [INSPIRE].
M.R. Gaberdiel, R. Gopakumar and C. Hull, Stringy AdS 3 from the worldsheet, JHEP 07 (2017) 090 [arXiv:1704.08665] [INSPIRE].
K. Ferreira, Even spin \( \mathcal{N}=4 \) holography, JHEP 09 (2017) 110 [arXiv:1702.02641] [INSPIRE].
K. Ferreira, M.R. Gaberdiel and J.I. Jottar, Higher spins on AdS 3 from the worldsheet, JHEP 07 (2017) 131 [arXiv:1704.08667] [INSPIRE].
J.J. Atick and E. Witten, The Hagedorn transition and the number of degrees of freedom of string theory, Nucl. Phys. B 310 (1988) 291 [INSPIRE].
M.J. Bowick and S.B. Giddings, High temperature strings, Nucl. Phys. B 325 (1989) 631 [INSPIRE].
S.B. Giddings, Strings at the Hagedorn temperature, Phys. Lett. B 226 (1989) 55 [INSPIRE].
R.D. Pisarski and O. Alvarez, Strings at finite temperature and deconfinement, Phys. Rev. D 26 (1982) 3735 [INSPIRE].
P. Olesen, Strings, tachyons and deconfinement, Phys. Lett. B 160 (1985) 408.
J. Isberg, U. Lindström, B. Sundborg and G. Theodoridis, Classical and quantized tensionless strings, Nucl. Phys. B 411 (1994) 122 [hep-th/9307108] [INSPIRE].
A. Bagchi and R. Gopakumar, Galilean conformal algebras and AdS/CFT, JHEP 07 (2009) 037 [arXiv:0902.1385] [INSPIRE].
A. Bagchi, R. Basu and A. Mehra, Galilean conformal electrodynamics, JHEP 11 (2014) 061 [arXiv:1408.0810] [INSPIRE].
A. Bagchi, R. Basu, A. Kakkar and A. Mehra, Galilean Yang-Mills theory, JHEP 04 (2016) 051 [arXiv:1512.08375] [INSPIRE].
A. Bagchi, Correspondence between asymptotically flat spacetimes and nonrelativistic conformal field theories, Phys. Rev. Lett. 105 (2010) 171601 [arXiv:1006.3354] [INSPIRE].
A. Bagchi and R. Fareghbal, BMS/GCA redux: towards flatspace holography from non-relativistic symmetries, JHEP 10 (2012) 092 [arXiv:1203.5795] [INSPIRE].
G. Barnich, A. Gomberoff and H.A. Gonzalez, The flat limit of three dimensional asymptotically Anti-de Sitter spacetimes, Phys. Rev. D 86 (2012) 024020 [arXiv:1204.3288] [INSPIRE].
A. Bagchi, S. Detournay and D. Grumiller, Flat-space chiral gravity, Phys. Rev. Lett. 109 (2012) 151301 [arXiv:1208.1658] [INSPIRE].
A. Bagchi, S. Detournay, R. Fareghbal and J. Simón, Holography of 3D flat cosmological horizons, Phys. Rev. Lett. 110 (2013) 141302 [arXiv:1208.4372] [INSPIRE].
G. Barnich, Entropy of three-dimensional asymptotically flat cosmological solutions, JHEP 10 (2012) 095 [arXiv:1208.4371] [INSPIRE].
G. Barnich, A. Gomberoff and H.A. González, Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory, Phys. Rev. D 87 (2013) 124032 [arXiv:1210.0731] [INSPIRE].
A. Bagchi, M. Gary and Zodinmawia, Bondi-Metzner-Sachs bootstrap, Phys. Rev. D 96 (2017) 025007 [arXiv:1612.01730] [INSPIRE].
A. Bagchi, R. Basu, A. Kakkar and A. Mehra, Flat holography: aspects of the dual field theory, JHEP 12 (2016) 147 [arXiv:1609.06203] [INSPIRE].
C. Duval, G.W. Gibbons, P.A. Horvathy and P.M. Zhang, Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time, Class. Quant. Grav. 31 (2014) 085016 [arXiv:1402.0657] [INSPIRE].
C. Duval, G.W. Gibbons and P.A. Horvathy, Conformal Carroll groups and BMS symmetry, Class. Quant. Grav. 31 (2014) 092001 [arXiv:1402.5894] [INSPIRE].
C. Duval, G.W. Gibbons and P.A. Horvathy, Conformal Carroll groups, J. Phys. A 47 (2014) 335204 [arXiv:1403.4213] [INSPIRE].
J. Hartong, Holographic reconstruction of 3D flat space-time, JHEP 10 (2016) 104 [arXiv:1511.01387] [INSPIRE].
A. Bagchi, Tensionless strings and galilean conformal algebra, JHEP 05 (2013) 141 [arXiv:1303.0291] [INSPIRE].
A. Bagchi, S. Chakrabortty and P. Parekh, Tensionless strings from worldsheet symmetries, JHEP 01 (2016) 158 [arXiv:1507.04361] [INSPIRE].
U. Lindström, B. Sundborg and G. Theodoridis, The zero tension limit of the spinning string, Phys. Lett. B 258 (1991) 331 [INSPIRE].
A. Bagchi, S. Chakrabortty and P. Parekh, Tensionless superstrings: view from the worldsheet, JHEP 10 (2016) 113 [arXiv:1606.09628] [INSPIRE].
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, Quantum null (super)strings, Phys. Lett. B 225 (1989) 335 [INSPIRE].
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, Null spinning strings, Nucl. Phys. B 338 (1990) 143 [INSPIRE].
G. Barnich, L. Donnay, J. Matulich and R. Troncoso, Asymptotic symmetries and dynamics of three-dimensional flat supergravity, JHEP 08 (2014) 071 [arXiv:1407.4275] [INSPIRE].
I. Mandal and A. Rayyan, Super-GCA from \( \mathcal{N}=\left(2,2\right) \) super-Virasoro, Phys. Lett. B 754 (2016) 195 [arXiv:1601.04723] [INSPIRE].
I. Mandal, Addendum to “Super-GCA from \( \mathcal{N}=\left(2,2\right) \) super-Virasoro”: Super-GCA connection with tensionless strings, Phys. Lett. B 760 (2016) 832 [arXiv:1607.02439] [INSPIRE].
A. Bagchi, R. Gopakumar, I. Mandal and A. Miwa, GCA in 2d, JHEP 08 (2010) 004 [arXiv:0912.1090] [INSPIRE].
A. Karlhede and U. Lindström, The classical bosonic string in the zero tension limit, Class. Quant. Grav. 3 (1986) L73 [INSPIRE].
F. Lizzi, B. Rai, G. Sparano and A. Srivastava, Quantization of the null string and absence of critical dimensions, Phys. Lett. B 182 (1986) 326 [INSPIRE].
A. Sagnotti, Notes on strings and higher spins, J. Phys. A 46 (2013) 214006 [arXiv:1112.4285] [INSPIRE].
G. Bonelli, On the tensionless limit of bosonic strings, infinite symmetries and higher spins, Nucl. Phys. B 669 (2003) 159 [hep-th/0305155] [INSPIRE].
G. Barnich, L. Donnay, J. Matulich and R. Troncoso, Super-BMS 3 invariant boundary theory from three-dimensional flat supergravity, JHEP 01 (2017) 029 [arXiv:1510.08824] [INSPIRE].
M.B. Green, J.H. Schwarz and E. Witten, Superstring theory. Volume 1: introduction, Cambridge University Press, Cambridge U.K. (1988).
I. Mandal, Supersymmetric extension of GCA in 2d, JHEP 11 (2010) 018 [arXiv:1003.0209] [INSPIRE].
I. Lodato and W. Merbis, Super-BMS 3 algebras from \( \mathcal{N}=2 \) flat supergravities, JHEP 11 (2016) 150 [arXiv:1610.07506] [INSPIRE].
R. Basu, S. Detournay and M. Riegler, Spectral flow in 3D flat spacetimes, JHEP 12 (2017) 134 [arXiv:1706.07438] [INSPIRE].
O. Fuentealba, J. Matulich and R. Troncoso, Asymptotic structure of \( \mathcal{N}=2 \) supergravity in 3D: extended super-BMS 3 and nonlinear energy bounds, JHEP 09 (2017) 030 [arXiv:1706.07542] [INSPIRE].
E. Casali and P. Tourkine, On the null origin of the ambitwistor string, JHEP 11 (2016) 036 [arXiv:1606.05636] [INSPIRE].
E. Casali, Y. Herfray and P. Tourkine, The complex null string, Galilean conformal algebra and scattering equations, JHEP 10 (2017) 164 [arXiv:1707.09900] [INSPIRE].
F. Cachazo, S. He and E.Y. Yuan, Scattering of massless particles in arbitrary dimensions, Phys. Rev. Lett. 113 (2014) 171601 [arXiv:1307.2199] [INSPIRE].
K. Lee, S.-J. Rey and J.A. Rosabal, A string theory which isn’t about strings, JHEP 11 (2017) 172 [arXiv:1708.05707] [INSPIRE].
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Bagchi, A., Banerjee, A., Chakrabortty, S. et al. Inhomogeneous tensionless superstrings. J. High Energ. Phys. 2018, 65 (2018). https://doi.org/10.1007/JHEP02(2018)065
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DOI: https://doi.org/10.1007/JHEP02(2018)065