REVIEW
Newtonian Gravitons and D-brane Collective Coordinates in Wound String Theory
High Energy Physics - Theory · Submitted 20 Dec 2000 · 55 references
Pith's verdict: A careful, honest clarification paper: the w=0 'Newtonian graviton' story is well supported by the amplitude and energy arguments, but the worldsheet derivation of the physical graviton in §2.3 is asserted in a single sentence and is the thing to press.
T0 · AI review
Why Pith says this
Highlight any text to comment on it.
Referee report
The paper
The paper claims
The paper argues that Wound string theory does contain a graviton, but only as an off-shell, zero-momentum carrier of instantaneous Newtonian forces, not as a propagating asymptotic particle.
The reading
What carries the argument
The load-bearing object is the unwound closed string with zero winding, zero transverse momentum, and zero oscillator number. Its survival is read off from the parent closed-string energy formula: as $k_=0$ ensures that any $w=0$ state with nonzero transverse momentum or oscillators has energy diverging like $k_=0$, so only the massless corner remains. The paper then uses a phase-space argument: the decay rate into a $w=0$ string scales as $k_=0$ relative to the $w>0$ channel, which is what makes the graviton negligible asymptotically while still available off shell as a force carrier. In the worldsheet treatment, the same states require retaining the $(l_s/L_s)^2$ terms that are dropped for $w>0$, because otherwise the Virasoro constraints fail to remove negative-norm states.
Extended reading notes
Core claim
The central claim is that Wound string theory is not graviton-free in the naive sense: it contains exceptional unwound closed strings with $w=0$, including a graviton, which are the only massless objects in the spectrum. On shell these states are forced to have $k_=0$ and $N_L=N_R=0$, so they form a negligible zero-measure set of asymptotic states; off shell they are the sole mediators of the instantaneous Newtonian interactions between wound strings and D-branes. The paper extends this to open strings on transverse D-branes, where $w=0$, $N=0$ states give the expected collective coordinates and Newtonian photons, and it identifies the supergravity counterparts as short strings (open) and long strings (closed).
Load-bearing premise
The load-bearing premise is that the rate for producing an unwound string really scales as $k_=0$ relative to the wound channel, with the amplitude staying finite as $k_=0$; that parametric estimate is what makes 'negligible as asymptotic states' true.
Editorial extensions
If this is right
- Gravity in Wound string theory is Newtonian: macroscopic sources set up gravitational fields, but there are no finite-time gravitational waves or on-shell gravitons in the asymptotic spectrum.
- Long-range forces between wound strings, and between D-branes, are mediated by off-shell $w=0$ closed strings and are instantaneous because the transverse speed of light diverges in the limit.
- A transverse D-brane's worldvolume theory contains the usual collective coordinates and gauge field from $w=0$ open strings, but its photons and scalar fluctuations are Newtonian and the brane can only translate rigidly.
- On the supergravity side, open strings attached to longitudinal D-branes are short strings confined near the horizon, while the closed wound strings are long strings that can reach the boundary and see asymptotically flat space.
- The same construction should apply to other Wrapped brane theories, which inherit Newtonian gravitons carrying momentum only along the directions that are not scaled to zero.
Reading between the lines
- If the zero-measure argument is right, it gives a general diagnostic for decoupling limits: a massless state that survives only at zero transverse momentum is a force mediator, not an asymptotic particle, and the same test can be applied to other non-relativistic or Galilean limits.
- The paper's picture suggests that 'gravity without gravitons' could be a controlled setting for asking which quantum-gravity puzzles depend on finite-speed gravitational degrees of freedom and which survive when the carrier is instantaneous.
- At finite temperature the wound strings are known to be liberated near the Hagedorn transition; checking whether the $w=0$ Newtonian gravitons then remain a zero-measure set would test how robust the asymptotic-negligibility claim is beyond tree level.
- The short/long string identification gives a concrete bulk-boundary dictionary to probe: long-string potential calculations in the supergravity background should reproduce the wound closed-string spectrum and the energy cost of pulling a string out of the brane.
Original abstract
Recently it was shown that NCOS theories are part of a ten-dimensional theory known as Non-relativistic Wound string theory. We clarify the sense in which gravity is present in this theory. We show that Wound string theory contains exceptional unwound strings, including a graviton, which mediate the previously discovered instantaneous long-range interactions, but are negligible as asymptotic states. Unwound strings also provide the expected collective coordinates for the transverse D-branes in the theory. These and other results are shown to follow both from a direct analysis of the effect of the NCOS limit on the parent string theory, and from the worldsheet formalism developed by Gomis and Ooguri, about which we make some additional remarks. We also devote some attention to supergravity duals, and in particular show that the open and closed strings of the theory are respectively described by short and long strings on the supergravity side.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
Recently it was shown that NCOS theories are part of a ten-dimensional theory known as Non-relativistic Wound string theory. We clarify the sense in which gravity is present in this theory. We show that Wound string theory contains exceptional unwound strings, including a graviton, which mediate the previously discovered instantaneous long-range interactions, but are negligible as asymptotic states. Unwound strings also provide the expected collective coordinates for the transverse D-branes in the theory. These and other results are shown to follow both from a direct analysis of the effect of the NCOS limit on the parent string theory, and from the worldsheet formalism developed by Gomis and Ooguri, about which we make some additional remarks. We also devote some attention to supergravity duals, and in particular show that the open and closed strings of the theory are respectively described by short and long strings on the supergravity side.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently it was shown that NCOS theories are part of a ten-dimensional theory known as Non-relativistic Wound string theory. | background 1.00 | 0.05 | 0.05 | asserted 1.00 |
| s1 | We clarify the sense in which gravity is present in this theory. | contribution 0.85 | 0.65 | 0.06 | unclear 0.62 |
| s2 | We show that Wound string theory contains exceptional unwound strings, including a graviton, which mediate the previously discovered instantaneous long-range interactions, but are negligible as asymptotic states. | result 0.98 | 0.94 | 0.67 | asserted 1.00 |
| s3 | Unwound strings also provide the expected collective coordinates for the transverse D-branes in the theory. | result 0.99 | 0.83 | 0.11 | asserted 0.99 |
| s4 | These and other results are shown to follow both from a direct analysis of the effect of the NCOS limit on the parent string theory, and from the worldsheet formalism developed by Gomis and Ooguri, about which we make some additional remarks. | method 0.94 | 0.86 | 0.09 | asserted 1.00 |
| s5 | We also devote some attention to supergravity duals, and in particular show that the open and closed strings of the theory are respectively described by short and long strings on the supergravity side. | result 0.82 | 0.91 | 0.07 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v3
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
References
How the literature uses it
37 arXiv papers cite this in 142 sentences
Papers citing it · 114 sentences without a confident label
Contests it 1 paper
-
Considering the usual radial quantization on the complex plane, for a closed string one enforces the natural periodicity conditions [equation] where $w>0$ is the string winding along the compact $x^1$ direction.[As explained in [ref] , the derivation of the action ([ref]) in [ref] implicitly assumes positive string winding, and therefore leads to physically incorrect results for on-shell closed strings with $w≤0$.]
Geometry from D-branes in Nonrelativistic String Theory · NR string theory · contest 0.89
Builds on it 1 paper
-
We expect to have [equation] The leading-order terms were already shown to arise in [ref] ; here we are interested in working out the $O(δ)$ terms.
Geometry from D-branes in Nonrelativistic String Theory · Background description · 0.80
Compares with it 3 papers
-
Altogether, then, we find that the results of [ref] and [ref] converge nicely, in a quite unexpected manner.
On the Underlying Nonrelativistic Nature of Relativistic Holography · Outline and main results · 0.83
-
Up to $𝒪(1)$, this is the result of [ref] when taking $B=1/2$ (see also [ref] ).
Nonrelativistic Approximations of Closed Bosonic String Theory · The Gomis–Ooguri spectrum in the presence of a $B$-field · 1.00
-
If we compare the Carrollian limit with its equivalent non-relativistic one [ref] - [ref] (see [ref] - [ref] for reviews) studied in [ref] , important differences emerge.
Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences · Discussion · 0.97
Cites it as support 1 paper
-
At the end of the previous section, we have found that, by bringing together the developments in [ref] and [ref] , holographic duality for D$p$-branes [ref] is revealed to be exactly the same statement as open-string/closed-string duality, i.e., D-brane/black-brane duality, in the nonrelativistic D$p$-brane theory of [ref] .
On the Underlying Nonrelativistic Nature of Relativistic Holography · Nonrelativity in Relativistic Holography · 0.97
Cites it as background 13 papers
-
Another aspect scrutinized in [ref] was the relation between NCOS and its gravity dual.
Geometry from D-branes in Nonrelativistic String Theory · Introduction and Summary · 0.92
-
It can be studied either as a special limit (given below in Eq. ([ref])) of any one of the standard string theories [ref] , or starting from an intrinsic worldsheet definition that makes no reference to a limit [ref] .[Makes no reference, that is, after having been itself obtained by applying the same limit once and for all at the level of the Polyakov action.] Its most prominent features are: a spacetime foliation that distinguishes time and one other `longitudinal' direction from the remaining `transverse' directions; the nonrelativistic character of the transverse dynamics, complemented by relativistic dynamics within the worldvolume of longitudinal D-branes; and the slimming down of the spectrum, such that the theory almost exclusively contains strings and other branes that carry positive string winding along the longitudinal direction.[This feature motivated the alternative name `wo
On the Underlying Nonrelativistic Nature of Relativistic Holography · Antecedents · 0.99
-
The string NR limit is $c→∞$ with the following scaling for the parameters and coordinates:[For historical reasons, the original works [ref] phrased the NR limit as $δ→0$ in units where the relativistic string length $l̂_s=√(δ) l_s→0$.
Asymptotically Nonrelativistic String Backgrounds · NR Black String · 0.96
Discussion
Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.