Double Metric, Generalized Metric and $α'$-Geometry

Hohm, Olaf; Zwiebach, Barton

doi:10.48550/arxiv.1509.02930

Cited by 8 publications

(15 citation statements)

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“…As has long been known (and reproduced in the KLT representation), closed-string three-point amplitudes are tensor products of open-string vertices. This result was extended to the bosonic chiral string in [22] by expansion of the effective action of [11], after the appearance of Lorentz Chern-Simons terms was recognized [23,24]. Here we obtain those results more directly, and extend them to the other chiral strings, by using the chiral extension of the direct-product analysis.…”

Section: Three-point Amplitudesmentioning

confidence: 56%

Factorization of Chiral String Amplitudes

Huang,

Siegel,

Yuan

2016

Preprint

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We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into open-string amplitudes. The only modification to standard string theory is effectively that the spacetime Minkowski metric changes overall sign in one open-string factor. This cancels all but a finite number of states: As found in earlier approaches, with enough supersymmetry (e.g., type II) the tree amplitudes reproduce those of the massless truncation of ordinary string theory. However, we now find for the other cases that additional fields, formerly thought to be auxiliary, describe new spin-2 states at the two adjacent mass levels (tachyonic and tardyonic). The tachyon is always a ghost, but can be avoided in the heterotic case.

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Section: Three-point Amplitudesmentioning

confidence: 56%

Factorization of Chiral String Amplitudes

Huang,

Siegel,

Yuan

2016

Preprint

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“…All (a, b) combinations different from (−1, −1), (−1, 0),(0, 0) produce O(D, D) invariant theories that are not string theories. One example is HSZ theory, where (a, b) = (−1, 1), originally constructed in [16] and explored in [37] [38] [39]. This theory can be written in the generalized metric formulation, where Lorentz invariance is implicit.…”

Section: Comments About Hsz Theorymentioning

confidence: 99%

$α'$-corrections and their double formulation

Lescano

2021

Preprint

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The present notes are based on three lectures, each ninety minutes long, prepared for the international school "Integrability, dualities and deformations", hosted by Universidade de Santiago de Compostela, from August 23 to August 27, 2021. These lectures, aimed at graduate students, require only a basic knowledge of string theory. The main goal is to introduce α ′ -corrections to the gravitational sector of different formulations of closed string theory and to reformulate them using novel techniques based on double field theory.

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“…For the sake of simplicity, we will refer to them as triangle and square diagrams. On top of that, 1 → 1 and (1 → 2) 2 can still appear, even though their finite O(ǫ 0 ) parts are now to be kept 25 .…”

Section: Results Of Wick Contractionsmentioning

confidence: 99%

“…The target metric and two-form become unified into a combined object, a representative of the coset space O(n, n)/(O(n) × O(n)), known as the generalised metric, which we denote as H. The target space formulation of the dynamics of this generalised metric has been well expounded [11,12,[14][15][16][17] and has become known as Double Field Theory. 3 Starting with the seminal work of Meissner [20], there have been significant efforts [21][22][23][24][25][26] in developing the theory of higher derivative corrections in a T-duality covariant fashion (see [27] for recent lecture notes on this topic).…”

Section: Introductionmentioning

confidence: 99%

The Duality Symmetric String at Two-loops

Copland¹,

Piccinini²,

Thompson³

2021

Preprint

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The Tseytlin duality symmetric string makes manifest the O(n, n) T-duality symmetry on the worldsheet at the expense of manifest Lorentz invariance. Here we consider the two-loop renormalisation of this model in the context of "cosmological" spacetimes consisting of an internal n-dimensional torus fibred over a one-dimensional base manifold. The lack of manifest Lorentz symmetry introduces a range of complexities in momenta loop integrals which we approach using different methods. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with O(n, n) symmetry and obstruct the renormalisability of the duality symmetric string.

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Double Metric, Generalized Metric and $α'$-Geometry

Cited by 8 publications

References 0 publications

Factorization of Chiral String Amplitudes

Factorization of Chiral String Amplitudes

$α'$-corrections and their double formulation

The Duality Symmetric String at Two-loops

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