Built on

A. Bagchi, A. Banerjee and P. Parekh, Tensionless Path from Closed to Open Strings , Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
J. Gomis, J. Oh and Z. Yan, Nonrelativistic String Theory in Background Fields , JHEP 10
Original
1905
Earlier work this paper cites.
A. D. Gallegos, U. Gürsoy and N. Zinnato, Torsional Newton Cartan gravity from non-relativistic strings , JHEP 09
Original
1906
Earlier work this paper cites.
T. Harmark, J. Hartong, L. Menculini, N. A. Obers and G. Oling, Relating non-relativistic string theories , JHEP 11
Original
1907
Earlier work this paper cites.
E. A. Bergshoeff, J. Gomis, J. Rosseel, C. Şimşek and Z. Yan, String Theory and String Newton-Cartan Geometry , J. Phys. A 53
Original
1907
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems , Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
R. K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times , Proc. Roy. Soc. Lond. A270
1962
Earlier work this paper cites.
A. Schild, Classical Null Strings , Phys. Rev. D16
1977
Earlier work this paper cites.
R. D. Pisarski and O. Alvarez, Strings at Finite Temperature and Deconfinement , Phys. Rev. D26
1982
Earlier work this paper cites.
P. Olesen, Strings, Tachyons and Deconfinement , Phys. Lett. 160B
1985
Earlier work this paper cites.
A. Karlhede and U. Lindstrom, The Classical Bosonic String in the Zero Tension Limit , Class. Quant. Grav. 3
1986
Earlier work this paper cites.
F. Lizzi, B. Rai, G. Sparano and A. Srivastava, Quantization of the Null String and Absence of Critical Dimensions , Phys. Lett. B182
1986
Earlier work this paper cites.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
J. J. Atick and E. Witten, The Hagedorn Transition and the Number of Degrees of Freedom of String Theory , Nucl. Phys. B310
1988
Earlier work this paper cites.

Similar

D. J. Gross and P. F. Mende, String Theory Beyond the Planck Scale , Nucl. Phys. B303
1988
Cited alongside, same era.
D. J. Gross, High-Energy Symmetries of String Theory , Phys. Rev. Lett. 60
1988
Cited alongside, same era.
M. B. Green, J. H. Schwarz and E. Witten, SUPERSTRING THEORY. VOL. 1: INTRODUCTION , Cambridge Monographs on Mathematical Physics. 1988
1988
Cited alongside, same era.
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, QUANTUM NULL (SUPER)STRINGS , Phys. Lett. B225
1989
Cited alongside, same era.
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, NULL SPINNING STRINGS , Nucl. Phys. B338
1990
Cited alongside, same era.
J. Gamboa, BRST quantization of null spinning p-branes , Mod. Phys. Lett. A 7
1992

Then

A. Bagchi, S. Detournay and D. Grumiller, Flat-Space Chiral Gravity , Phys. Rev. Lett. 109
Original
2012
Later among the works it cites.
A. Bagchi, Tensionless Strings and Galilean Conformal Algebra , JHEP 05
Original
2013
Later among the works it cites.
A. Bagchi, S. Detournay, R. Fareghbal and J. Simón, Holography of 3D Flat Cosmological Horizons , Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
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
Original
2014
Later among the works it cites.
A. Bagchi, R. Basu, D. Grumiller and M. Riegler, Entanglement entropy in Galilean conformal field theories and flat holography , Phys. Rev. Lett. 114

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2021

Tensionless Tales: Vacua and Critical Dimensions

Bagchi, Arjun, Mandlik, Mangesh, Sharma, Punit

Understand

Recently, a careful canonical quantisation of the theory of closed bosonic tensionless strings has resulted in the discovery of three separate vacua and hence three different quantum theories that emerge from this single classical tensionless theory.

In this note, we perform lightcone quantisation with the aim of determination of the critical dimension of these three inequivalent quantum theories.
The satisfying conclusion of a rather long and tedious calculation is that one of vacua does not lead to any constraint on the number of dimensions, while the other two give $D=26$.
This implies that all three quantum tensionless theories can be thought of as consistent sub-sectors of quantum tensile bosonic closed string theory.

Built on

A. Bagchi, A. Banerjee and P. Parekh, Tensionless Path from Closed to Open Strings , Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
J. Gomis, J. Oh and Z. Yan, Nonrelativistic String Theory in Background Fields , JHEP 10
Original
1905
Earlier work this paper cites.
A. D. Gallegos, U. Gürsoy and N. Zinnato, Torsional Newton Cartan gravity from non-relativistic strings , JHEP 09
Original
1906
Earlier work this paper cites.
T. Harmark, J. Hartong, L. Menculini, N. A. Obers and G. Oling, Relating non-relativistic string theories , JHEP 11
Original
1907
Earlier work this paper cites.
E. A. Bergshoeff, J. Gomis, J. Rosseel, C. Şimşek and Z. Yan, String Theory and String Newton-Cartan Geometry , J. Phys. A 53
Original
1907
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems , Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
R. K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times , Proc. Roy. Soc. Lond. A270
1962
Earlier work this paper cites.
A. Schild, Classical Null Strings , Phys. Rev. D16
1977
Earlier work this paper cites.
R. D. Pisarski and O. Alvarez, Strings at Finite Temperature and Deconfinement , Phys. Rev. D26
1982
Earlier work this paper cites.
P. Olesen, Strings, Tachyons and Deconfinement , Phys. Lett. 160B
1985
Earlier work this paper cites.
A. Karlhede and U. Lindstrom, The Classical Bosonic String in the Zero Tension Limit , Class. Quant. Grav. 3
1986
Earlier work this paper cites.
F. Lizzi, B. Rai, G. Sparano and A. Srivastava, Quantization of the Null String and Absence of Critical Dimensions , Phys. Lett. B182
1986
Earlier work this paper cites.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
J. J. Atick and E. Witten, The Hagedorn Transition and the Number of Degrees of Freedom of String Theory , Nucl. Phys. B310
1988
Earlier work this paper cites.

Similar

D. J. Gross and P. F. Mende, String Theory Beyond the Planck Scale , Nucl. Phys. B303
1988
Cited alongside, same era.
D. J. Gross, High-Energy Symmetries of String Theory , Phys. Rev. Lett. 60
1988
Cited alongside, same era.
M. B. Green, J. H. Schwarz and E. Witten, SUPERSTRING THEORY. VOL. 1: INTRODUCTION , Cambridge Monographs on Mathematical Physics. 1988
1988
Cited alongside, same era.
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, QUANTUM NULL (SUPER)STRINGS , Phys. Lett. B225
1989
Cited alongside, same era.
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, NULL SPINNING STRINGS , Nucl. Phys. B338
1990
Cited alongside, same era.
J. Gamboa, BRST quantization of null spinning p-branes , Mod. Phys. Lett. A 7
1992

Then

A. Bagchi, S. Detournay and D. Grumiller, Flat-Space Chiral Gravity , Phys. Rev. Lett. 109
Original
2012
Later among the works it cites.
A. Bagchi, Tensionless Strings and Galilean Conformal Algebra , JHEP 05
Original
2013
Later among the works it cites.
A. Bagchi, S. Detournay, R. Fareghbal and J. Simón, Holography of 3D Flat Cosmological Horizons , Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
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
Original
2014
Later among the works it cites.
A. Bagchi, R. Basu, D. Grumiller and M. Riegler, Entanglement entropy in Galilean conformal field theories and flat holography , Phys. Rev. Lett. 114

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

J. Isberg, U. Lindstrom, B. Sundborg and G. Theodoridis, Classical and quantized tensionless strings , Nucl. Phys. B411

1994

Cited alongside, same era.

H. Gustafsson, U. Lindstrom, P. Saltsidis, B. Sundborg and R. van Unge, Hamiltonian BRST quantization of the conformal string , Nucl. Phys. B440

1995

Cited alongside, same era.

P. Bozhilov, Tensionless branes and the null string critical dimension , Mod. Phys. Lett. A 13

1998

Cited alongside, same era.

A. Bagchi, A. Banerjee, S. Chakrabortty, S. Dutta and P. Parekh, A tale of three — tensionless strings and vacuum structure , JHEP 04

Original

2001

Cited alongside, same era.

U. Lindstrom and M. Zabzine, Tensionless strings, WZW models at critical level and massless higher spin fields , Phys. Lett. B584

2004

Cited alongside, same era.

G. Barnich and G. Compere, Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions , Class. Quant. Grav. 24

2007

Cited alongside, same era.

Original

2015

Later among the works it cites.

A. Bagchi, S. Chakrabortty and P. Parekh, Tensionless Strings from Worldsheet Symmetries , JHEP 01

Original

2016

Later among the works it cites.

A. Bagchi, S. Chakrabortty and P. Parekh, Tensionless Superstrings: View from the Worldsheet , JHEP 10

Original

2016