Open bosonic strings in general background fields

Dorn, Harald; Otto, H.J.

doi:10.1007/bf01550785

Cited by 29 publications

(63 citation statements)

References 14 publications

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“…By a similar transformation on Eq. (4.10) one recovers the two-loop beta function computed previously in [3,4]. More recently, Myers [5] proposed a complete form of the scalar potential in superstring theory, to all orders in α ′ , by relating it via T-duality to the Tseytlin's form of NBI action [9].…”

Section: One-loop Computationssupporting

confidence: 73%

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Renormalization of boundary fermions and world-volume potentials on D-branes

Khorsand¹,

Taylor²

2001

Nuclear Physics B

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We consider a sigma model formulation of open string theory with boundary fermions carrying Chan-Paton charges at the string ends. This formalism is particularly suitable for studying world-volume potentials on D-branes. We perform explicit twoloop computations of the potential T-dual to the non-abelian Born-Infeld action. We also discuss the world-volume couplings of NS fluxes which are responsible for Myers' dielectric effect.

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Section: One-loop Computationssupporting

confidence: 73%

“…Here, the world-volume action is reconstructed from the equations of motion which are obtained by requiring conformal invariance on the world-sheet. However, these computations [3,4] appear to be quite complicated. There has not been much work done in this direction over the past few years.…”

Section: Introductionmentioning

confidence: 99%

Renormalization of boundary fermions and world-volume potentials on D-branes

Khorsand¹,

Taylor²

2001

Nuclear Physics B

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“…(35) can be recovered from correlators of ψ fields. This setting has been widely used in [102] to derive low-energy open-string couplings, in the spirit of the σ-model constructions in [103]. Taking these fermion fields more seriously, one can actually go a bit further.…”

Section: Chan-paton Groups and "Quarks" At The Ends Of Stringsmentioning

confidence: 99%

Erratum to “Open strings”

2003

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Abstract. This review is devoted to open strings, and in particular to the often surprising features of their spectra. It follows and summarizes developments that took place mainly at the University of Rome "Tor Vergata" over the last decade, and centred on world-sheet aspects of the constructions now commonly referred to as "orientifolds". Our presentation aims to bridge the gap between the world-sheet analysis, that first exhibited many of the novel features of these systems, and their geometric description in terms of extended objects, D-branes and O-planes, contributed by many other colleagues, and most notably by J. Polchinski. We therefore proceed through a number of prototype examples, starting from the bosonic string and moving on to tendimensional fermionic strings and their toroidal and orbifold compactifications, in an attempt to guide the reader in a self-contained journey to the more recent developments related to the breaking of supersymmetry.

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“…The standard expansion employs the background field method [49,30,31,32]. There is, however, a different method based on the radial gauge expansion of the target fields (the Riemann normal coordinate (RNC) expansion for the metric) [80,81], which in some cases is better suited to the problem at hand (see, e.g, [68]).…”

Section: A Perturbative Expansionsmentioning

confidence: 99%

“…This contrasts with previous calculations performed in the literature, which were mostly perturbative in F . Beta functions for bosonic open string sigma models were computed up to two loops (in flat space) in [30,31,32,33]. Later, and in the superstring context, curvature corrections to the BI and Wess-Zumino (WZ) actions were computed in [34,35,36,37], but no F or B field on the brane were considered.…”

Section: Introductionmentioning

confidence: 99%

Towards quantum dielectric branes: curvature corrections in Abelian beta function and non-Abelian Born–Infeld action

Cornalba

Schiappa

2005

Nuclear Physics B

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We initiate a programme to compute curvature corrections to the nonabelian Born-Infeld action. This is based on the calculation of derivative corrections to the abelian Born-Infeld action, describing a maximal brane, to all orders in F = B +2πα ′ F . An exact calculation in F allows us to apply the SeibergWitten map, reducing the maximal abelian brane point of view to a minimal nonabelian brane point of view (replacing 1/F with [X , X ] at large F ), resulting in matrix model equations of motion in the considered background. We first study derivative corrections to the abelian Born-Infeld action and compute the two loop beta function for an open bosonic string in a WZW (parallelizable) background. This beta function is the first step in the process of computing open string equations of motion, which can be later obtained by either computing the Weyl anomaly coefficients or the partition function in the given background. The beta function for the gauge field is exact in F and computed to orders O(H, H 2 , H 3 ) (where H = dB and the curvature is R ∼ H 2 ) and O(∇F, ∇ 2 F, ∇ 3 F). In order to carry out this calculation we develop a new regularization method for two loop graphs. We then relate perturbative results for abelian and nonabelian Born-Infeld actions, by showing how abelian derivative corrections yield nonabelian higher order commutators and vice-versa, at large F . We begin the construction of a matrix model describing α ′ corrections to Myers' dielectric effect. This construction is carried out by first setting up a perturbative classification of the relevant nonabelian tensor structures, which can be considerably narrowed down by the physical constraint of translation invariance in the action and the possibility for generic field redefinitions. The final matrix action is not uniquely determined and depends upon two free parameters. These parameters could be computed via further calculations in the abelian theory.

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Open bosonic strings in general background fields

Cited by 29 publications

References 14 publications

Renormalization of boundary fermions and world-volume potentials on D-branes

Renormalization of boundary fermions and world-volume potentials on D-branes

Erratum to “Open strings”

Towards quantum dielectric branes: curvature corrections in Abelian beta function and non-Abelian Born–Infeld action

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