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Non-Relativistic Superstring Theories
High Energy Physics - Theory · Submitted 17 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We explicitly quantize the theory with manifest SO(8) symmetry and find that the spectrum is similar to that of Type IIB superstring theory.
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The abstract, sentence by sentence
We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$ CFT. The conformal weights of the $b$ and $c$ fields are both 1/2. The action of the fermionic sector can be transformed into that of the relativistic superstring theory. We explicitly quantize the theory with manifest SO(8) symmetry and find that the spectrum is similar to that of Type IIB superstring theory. There is one notable difference: the fermions are non-chiral. We further consider ``noncritical'' generalizations of the supersymmetric theory using the superspace formulation. There is an infinite range of possible string theories similar to the supercritical string theories. We comment on the connection between the critical non-relativistic string theory and the lightlike Linear Dilaton theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. | contribution 1.00 | 0.94 | 0.19 | asserted 1.00 |
| s1 | We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$ CFT. | contribution 0.77 | 0.90 | 0.04 | asserted 1.00 |
| s2 | The conformal weights of the $b$ and $c$ fields are both 1/2. | result 0.55 | 0.55 | 0.03 | asserted 1.00 |
| s3 | The action of the fermionic sector can be transformed into that of the relativistic superstring theory. | result 0.56 | 0.65 | 0.10 | asserted 0.99 |
| s4 | We explicitly quantize the theory with manifest SO(8) symmetry and find that the spectrum is similar to that of Type IIB superstring theory. | result 0.93 | 0.96 | 0.41 | asserted 1.00 |
| s5 | There is one notable difference: the fermions are non-chiral. | result 0.96 | 0.74 | 0.19 | asserted 1.00 |
| s6 | We further consider ``noncritical'' generalizations of the supersymmetric theory using the superspace formulation. | contribution 0.97 | 0.85 | 0.06 | asserted 0.90 |
| s7 | There is an infinite range of possible string theories similar to the supercritical string theories. | result 0.66 | 0.46 | 0.14 | asserted 0.86 |
| s8 | We comment on the connection between the critical non-relativistic string theory and the lightlike Linear Dilaton theory. | interpretation 0.80 | 0.50 | 0.06 | unclear 0.69 |
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The paper
Original abstract
We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$ CFT. The conformal weights of the $b$ and $c$ fields are both 1/2. The action of the fermionic sector can be transformed into that of the relativistic superstring theory. We explicitly quantize the theory with manifest SO(8) symmetry and find that the spectrum is similar to that of Type IIB superstring theory. There is one notable difference: the fermions are non-chiral. We further consider ``noncritical'' generalizations of the supersymmetric theory using the superspace formulation. There is an infinite range of possible string theories similar to the supercritical string theories. We comment on the connection between the critical non-relativistic string theory and the lightlike Linear Dilaton theory.
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References
How the literature uses it
10 arXiv papers cite this in 11 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 7 papers
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Even though we have in mind the superstrings (see e.g. [ref] ), we will only focus on the bosonic sector as a proof of concept in this section.
Matrix Theory Reloaded: A BPS Road to Holography · Undo the BPS Decoupling Limits: TTbar Deformation · 0.91
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Other work on supersymmetric NR string theory can be found in [ref] .] For definiteness, we will carry out our computations in the notation appropriate for the NR bosonic string, keeping the spacetime dimension $d$ arbitrary, for ease of transitioning to the superstring theories.
Geometry from D-branes in Nonrelativistic String Theory · Longitudinal D-branes · 1.00
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For concrete (super)string expressions see [ref] .
The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory · Non-Relativistic String Theory · 0.90
What it cites · 27 sentences without a confident label
Cites as background 5 papers
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Time-dependent backgrounds in string theory are hard to analyze [ref] .
Strings in a Time-Dependent Orbifold · Introduction · 0.86
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Furthermore fundamental issues related to time, especially to “emergent time”, is not clear (see, e.g., [ref] ).
Emergent Spacetime · Introduction · 0.95
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Similar considerations in supercritical string theories can be found in [ref] .
Cosmological solutions of supercritical string theory · Future Directions · 0.87
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