KLT factorization of winding string amplitudes

Gomis, Joaquim; Yan, Z.; Yu, Matthew

doi:10.1007/jhep06(2021)057

Cited by 10 publications

(23 citation statements)

References 41 publications

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“…The double-copy has also been studied in the context of massive theories. Much work on the massive double-copy focuses on massive string modes [23,24] or the dimensional reduction of massless theories [25][26][27][28][29][30][31]. A sharp break from this trend was the bottom-up approach taken in [32,33].…”

Section: Previous Workmentioning

confidence: 99%

“…One can similar perform an analysis of YM with higher-derivative corrections in the Self-Dual (SD, or all-plus) and Next-To-Self-Dual Sector (NSD, or one-minus) at 4-point. Up to the order D 10 F 4 we have checked that the matrix elements of local operators can be written with a common spinor-helicity prefactor times a Mandelstam polynomial: SD (+ + ++): 1 12 23…”

Section: Sd and Nsd Sectorsmentioning

confidence: 99%

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Generalizations of the double-copy: the KLT bootstrap

Chi

Elvang

Herderschee

et al. 2022

J. High Energ. Phys.

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We formulate a new program to generalize the double-copy of tree amplitudes. The approach exploits the link between the identity element of the “KLT algebra” and the KLT kernel, and we demonstrate how this leads to a set of KLT bootstrap equations that the double-copy kernel has to satisfy in addition to locality constraints. We solve the KLT bootstrap equations perturbatively to find the most general higher-derivative corrections to the 4- and 5-point field theory KLT kernel. The new kernel generalizes the string KLT kernel and its associated monodromy relations. It admits new color-structures in the effective theories it double-copies. It provides distinct generalized KK and BCJ relations for the left and right single-color theories and is in that sense a ‘heterotic’-type double-copy. We illustrate the generalized double-copy in detail for 4d Yang-Mills theory with higher-derivative corrections that produce dilaton-axion-gravity with local operators up order ∇10R4. Finally, we initiate a search for new double-copy kernels.

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Section: Previous Workmentioning

confidence: 99%

Section: Sd and Nsd Sectorsmentioning

confidence: 99%

Generalizations of the double-copy: the KLT bootstrap

Chi

Elvang

Herderschee

et al. 2022

J. High Energ. Phys.

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“…The essential advantage of the compactified KK string theory is that the connection between the KK closedstring amplitudes and the proper products of KK open-string amplitudes can be intrinsically built in from the start. A recent literature [48] studied the general KLT factorization of winding string amplitudes in the bosonic string theory and computed explicitly the fourpoint tachyon amplitudes, but did not consider the amplitudes in the low energy field-theory limit. We will study the scattering amplitudes of massive KK states of open and closed bosonic strings, and derive the corresponding scattering amplitudes of KK gauge-bosons and of KK gravitons in the field-theory limit.…”

Section: Jhep02(2022)120mentioning

confidence: 99%

“…and make the rescaling (α , R, L) → 1 4 (α , R, L), such that the mass spectrum (2.10) of open strings coincides with the mass spectrum (2.4) of closed strings [48].…”

Section: Jhep02(2022)120mentioning

confidence: 99%

Scattering amplitudes of Kaluza-Klein strings and extended massive double-copy

Hang

et al. 2022

J. High Energ. Phys.

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We study the scattering amplitudes of massive Kaluza-Klein (KK) states of open and closed bosonic strings under toroidal compactification. We analyze the structure of vertex operators for the KK strings and derive an extended massive KLT-like relation which connects the N-point KK closed-string amplitude to the products of two KK open-string amplitudes at tree level. Taking the low energy field-theory limit of vanishing Regge slope, we derive double-copy construction formula of the N-point massive KK graviton amplitude from the sum of proper products of the corresponding KK gauge boson amplitudes. Then, using the string-based massive double-copy formula, we derive the exact tree-level four-point KK gauge boson amplitudes and KK graviton amplitudes, which fully agree with those given by the KK field-theory calculations. With these, we give an explicit prescription on constructing the exact four-point KK graviton amplitudes from the sum of proper products of the corresponding color-ordered KK gauge boson amplitudes. We further analyze the string-based double-copy construction of five-point and six-point scattering amplitudes of massive KK gauge bosons and KK gravitons.

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“…Recently, in [1], the KLT relations are generalized to amplitudes that involve winding string states, which are responsible for some of the salient features of string theory such as Tduality. For simplicity and concreteness, we will focus on the compactification over a spacelike circle, and consider a factorization of the amplitude that describes an N -point scattering between closed string states that carry both winding and momentum along the compactified direction.…”

Section: Introductionmentioning

confidence: 99%

KLT Factorization of Nonrelativistic String Amplitudes

Zhang¹,

Yu²

2021

Preprint

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We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes in [1]. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on an array of D-branes localized in the compactified directions; the specific D-brane configuration is determined by the closed string data. In this paper, we study a zero Regge slope limit of the KLT relations between winding string amplitudes. Such a limit of string theory requires a critically tuned Kalb-Ramond field in a compact direction, and leads to a self-contained corner called nonrelativistic string theory. This theory is unitary, ultraviolet complete, and its string spectrum and spacetime S-matrix satisfy nonrelativistic symmetry. Moreover, the asymptotic closed string states in nonrelativistic string theory necessarily carry nonzero windings. First, starting with relativistic string theory, we construct a KLT factorization of amplitudes for winding closed strings in the presence of a critical Kalb-Ramond field. Then, in the zero Regge limit, we uncover a KLT relation for amplitudes in nonrelativistic string theory. Finally, we show how such a relation can be reproduced from first principles in a purely nonrelativistic string theory setting. We will also discuss connections to the amplitudes of string theory in the discrete light cone quantization (DLCQ), a method that is relevant for Matrix theory.

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KLT factorization of winding string amplitudes

Cited by 10 publications

References 41 publications

Generalizations of the double-copy: the KLT bootstrap

Generalizations of the double-copy: the KLT bootstrap

Scattering amplitudes of Kaluza-Klein strings and extended massive double-copy

KLT Factorization of Nonrelativistic String Amplitudes

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