Tensionless tales: vacua and critical dimensions

Bagchi, Arjun; Mandlik, Mangesh; Sharma, Punit

doi:10.1007/jhep08(2021)054

Cited by 19 publications

(20 citation statements)

References 44 publications

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“…Our construction and specifically the emergence of two different branches of correlation functions is also reminiscent of recent advances in the tensionless regime of string theory where three distinct quantum theories appear from a single classical theory [63,64]. Recent findings of different correlation functions in these theories [65,66] As mentioned before, in order to reproduce flatspace scattering, as in Celestial CFTs, Carroll CFTs need an infinite number of primary fields with complex scaling dimension.…”

Section: Discussionmentioning

confidence: 96%

Scattering Amplitudes: Celestial and Carrollian

Bagchi,

Banerjee,

Basu

et al. 2022

Preprint

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Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties.

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Section: Discussionmentioning

confidence: 96%

Scattering Amplitudes: Celestial and Carrollian

Bagchi,

Banerjee,

Basu

et al. 2022

Preprint

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“…It should be noted that another sigma model with nonrelativistic worldsheet geometry and GCA symmetries exist, which is likewise obtained from a tensionless limit [20][21][22]. While the resulting strings are fundamentally different, the developments in the quantization [109,110] and supersymmetrization [111] of this latter tensionless string can perhaps be of use for SMT strings. Additionally, it would be very interesting to revisit the NR string theory obtained in [16,90] from a limit on AdS 5 × S 5 .…”

Section: Discussionmentioning

confidence: 98%

Aspects of Nonrelativistic Strings

Oling,

Yan

2022

Preprint

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We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This theory arises as a self-contained corner of relativistic string theory. It has a string spectrum with a Galilean dispersion relation, and a spacetime S-matrix with nonrelativistic symmetry. This string theory also gives a unitary and ultraviolet complete framework that connects different corners of string theory, including matrix string theory and noncommutative open strings. In recent years, there has been a resurgence of interest in the non-Lorentzian geometries and quantum field theories that arise from nonrelativistic string theory in background fields. In this review, we start with an introduction to the foundations of nonrelativistic string theory in flat spacetime. We then give an overview of recent progress, including the appropriate target-space geometry that nonrelativistic strings couple to. This is known as (torsional) string Newton-Cartan geometry, which is neither Lorentzian nor Riemannian. We also give a review of nonrelativistic open strings and effective field theories living on D-branes. Finally, we discuss applications of nonrelativistic strings to decoupling limits in the context of the AdS/CFT correspondence.

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“…Thus, like 2d CFTs for tensile strings, BMS 3 invariant CFTs are inevitable for studying, both classical and quantum, dynamics of tensionless strings. Some recent advances in quantizing the tensionless strings include [50][51][52].…”

Section: Horizons Carroll Strings and Other Thingsmentioning

confidence: 99%

“…Here we won't go into the details, stopping only at the classical symmetry analysis. Readers are directed to [50][51][52][53][54] for further reading.…”

Section: Warming Up: Residual Symmetries Of the Timelike Actionmentioning

confidence: 99%

“…A very natural follow-up work would be to try and quantize the theories we explored in this paper. Although for the timelike case, a large amount of literature exist on quantum structures [51,52], and the vacuum structure associated to Ambitwistor string is also very well explored [51,71,72], the quantization associated to the mixed-derivative action demands immediate attention. As this is a manifestly chiral theory on shell, it begs the question: whether it corresponds to a chiral half of a 2d CFT, or is there even more to it?…”

Section: Future Directionsmentioning

confidence: 99%

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Carroll covariant scalar fields in two dimensions

Bagchi¹,

Banerjee²,

Dutta³

et al. 2022

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Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null manifolds and hence on the 2d Conformal Carroll or equivalently the 3d Bondi-Metzner-Sachs (BMS) algebra. Using Carroll covariance, we write the most general free massless Carroll scalar field theory and discover three inequivalent actions. Of these, two viz. the time-like and space-like actions, have made their appearance in literature before. We uncover a third that we call the mixed-derivative theory. As expected, all three theories enjoy off-shell BMS invariance. Interestingly, we find that the on-shell symmetry of mixed derivative theory is a single Virasoro algebra instead of the full BMS. We discuss potential applications to tensionless strings and flat holography.

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Tensionless tales: vacua and critical dimensions

Cited by 19 publications

References 44 publications

Scattering Amplitudes: Celestial and Carrollian

Scattering Amplitudes: Celestial and Carrollian

Aspects of Nonrelativistic Strings

Carroll covariant scalar fields in two dimensions

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