On D-brane -anti D-brane effective actions and their all order bulk singularity structures

Sundell

2021

J. High Energ. Phys.

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We compute six-point string amplitudes for the scattering of one closed string Ramond-Ramond state, two tachyons and two gauge fields in the worldvolume of D-brane-anti-D-brane systems in the Type II superstring theories. From the resulting S-matrix elements, we read off the precise form of the couplings, including their exact numerical coefficients, of two tachyons and two gauge fields in the corresponding highly symmetric effective field eheory (EFT) Lagrangian in the worldvolume of D-brane-Anti-D-brane to all orders in α′, which modify and complete previous proposals. We verify that the EFT reproduces the infinite collection of stringy gauge field singularities in dual channels. Inspired by interesting similarities between the all-order highly symmetric EFTs and holographic duals of Vasiliev’s higher spin gravities à là Nilsson and Vasiliev, we make a proposal for tensionless limits of D-brane-anti-D-brane systems.

“…In previous works, it has been shown that Dφ i(1) • Dφ i(2) -couplings are required on the worldvolume of DD systems for consistency between EFT and worldsheet descriptions[94].…”

mentioning

confidence: 99%

All-order quartic couplings in highly symmetric D-brane-anti-D-brane systems

Sundell

2021

J. High Energ. Phys.

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“…It is worth to pointing out that the appearance of F (1) · F (2) and also Dφ i(1) · Dφ i (2) couplings for D-brane-Anti D-brane DBI action have been confirmed by direct consistent string amplitudes of [26] and [38] accordingly. More crucially, we got to know that C p−1 ∧ F does not receive higher derivative correction of WZ couplings.…”

Section: Lower Order D-brane-anti-d-brane Effective Actionsmentioning

confidence: 69%

“…which is exactly as derived in string theory amplitude (11). In [38] we also constructed all order α ′ corrections of one RR and two tachyons of D-brane anti D-brane system as…”

Section: Lower Order D-brane-anti-d-brane Effective Actionsmentioning

confidence: 99%

Highly symmetric D-brane-anti-D-brane effective actions

2017

J. High Energ. Phys.

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The entire S-matrix elements of four, five and six point functions of D-braneanti D-brane system are explored. To deal with symmetries of string amplitudes as well as their all order α corrections we first address a four point function of one closed string Ramond-Ramond (RR) and two real tachyons on the world volume of brane-anti brane system. We then focus on symmetries of string theory as well as universal tachyon expansion to achieve both string and effective field theory of an RR and three tachyons where the complete algebraic analysis for the whole S-matrix < V C −1 V T −1 V T 0 V T 0 > was also revealed. Lastly, we employ all the conformal field theory techniques toworking out with symmetries of theory and find out the expansion for the amplitude to be able to precisely discover all order singularity structures of D-brane-anti-D-brane effective actions of string theory. Various remarks about the so called generalized Veneziano amplitude and new string couplings are elaborated as well.

“…The preceding argument shows that this coupling is still absent even after the inclusion of higher-derivative corrections. Consequently, there are no poles in a (t + v + r )-channel, with v = v + 1 4 , r = r + 1 4 , as discussed in [38]. It is interesting to examine the effective corrections to the DBI sector of the action.…”

Section: Scalar Bulk Singularity Structurementioning

confidence: 99%

On all-order higher-point Dp–D̄p̄ effective actions

Antonelli

Basile

J. Cosmol. Astropart. Phys.

2019

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In this paper we derive a class of contributions to all orders in α to the effective action of D-braneanti D-brane systems in Type II String Theory, considering an amplitude involving a closed-string Ramond-Ramond state and four open-string states: two tachyons, a scalar and a gauge boson. This type of amplitude arises in both Type IIA and Type IIB strings, and reveals a number of new effective couplings. Furthermore, we derive a series representation for the result that goes beyond a factorized limit that was recently studied, and which is expected to apply to more general six-point amplitudes of superstrings, including external fermions. * Electronic address: riccardo.antonelli@sns.it † Electronic address: ivano.basile@sns.it ‡ Electronic address: ehsan.hatefi@sns.it 1 For in-depth discussions of open strings, see [1]. 2 For earlier detailed treatments, see [2-4]. 3 Similar corrections can also be found in the case of S-branes [7]. 3 are not present. Perturbative scattering amplitudes involve structures that are largely constrained, which makes it possible to reconstruct them, up to an overall coefficient, via Effective Field Theory (EFT) analyses of poles and symmetries in various channels. On the other hand, ab-initio computations of the corresponding string amplitudes have the virtue of fixing the α expansion, and thus the EFT couplings, to all orders. This procedure has been followed systematically in the literature [33-38], yielding generalizations of the standard Dirac-Born-Infeld (DBI), Myers [39] and Wess-Zumino (WZ) terms 4 [40]. The crucial interplay between D-branes and RR potentials has been thoroughly studied in the literature [42], but theirrole is yet to be fully dissected.The paper is organized as follows. In Section 2 we summarize a number of results that were obtained in earlier works, which provides a starting point for our considerations.Specifically, we discuss all-order α corrections to couplings that originate from amplitudes a single closed-string mode and less than four open-string ones. We focus on RR closed-string states, and thus on couplings related to WZ terms. In Section 3 we present the new result on the five-string scattering amplitude under consideration. From the point of view of the (open) world-sheet CFT, this is akin to a six-point correlator, whose vertex operators are to be integrated accordingly. The result is organized in terms of a class of integrals, whose detailed study is postponed to Section 4. In Section 3.3 we briefly discuss a factorized limit in which the integrals can be evaluated in closed form. In sections 3.4 and 3.5, after a proper discussion of bulk singularities, selection rules [43] and EFT methods, we recover the result from the low-energy perspective. In Section 4 we go beyond the factorized limit of Section 3.3, obtaining an expansion for the integrals, whose leading term reproduces it.While the resulting expansion entails a limit of series with decreasing convergence rate, weshow that the procedure is well-defined. We conclude in Section 5 with a su...