All Order ${\alpha }^{\prime }$ Corrections to Fermionic Couplings of D-brane-Anti-D-brane Effective Actions

Abstract

We first point out to all order ${\alpha }^{\prime }$ corrections to lower order fermionic couplings and their effective actions of type II super string theory. In order to reveal all symmetries of the particular D-brane Anti-D-brane system, and to construct not only all the singularity structures but also all order ${\alpha }^{\prime }$ corrections of fermionic couplings to tachyons, we employ all the Conformal Field Theory (CFT) methods to a six point function. Basically, we construct all the correlation functions of four spin operators and two world sheet fermion fields. The S-matrix of two fermion fields, two real tachyons in the presence of a closed string Ramond-Ramond (RR) field in type II will be explored. Applying all the symmetries of the amplitude, a proper expansion for D-brane Anti D-brane is also found out. Having carried out all the Effective Field Theory (EFT) techniques, one would discover all order singularity structures of string theory. The entire algebraic computations of the amplitude of $<V_{C^{-1}(z,\bar{z})}{V}_{{\bar{\psi }}^{-1/2}(x_1)}{V}_{{\psi }^{-1/2}(x_2)}{V}_{T^0(x_3)}{V}_{T^0(x_4)}>$ have also been derived. Various new string couplings are revealed as well. Eventually, making comparison the S-matrix with all EFT parts, all order ${\alpha }^{\prime }$ higher derivative corrections to two fermions -- two tachyons in the world volume of D-brane Anti D-brane of type II are discovered accordingly.

arXiv commentV2:27 pages and references added. To appear in JCAP

References in corpus (83)

• Dirichlet-Branes and Ramond-Ramond Charges
• Dielectric-Branes
• Low energy hadron physics in holographic QCD
• Towards Inflation in String Theory
• Bound States Of Strings And $p$-Branes
• Rolling Tachyon
• Tachyon Matter
• Brane Inflation
• More on a holographic dual of QCD
• Tachyon Condensation on the Brane Antibrane System
• Field Theory of Tachyon Matter
• Tachyon Dynamics in Open String Theory
• Super D-branes
• A Note on the Green - Schwarz Mechanism in Open - String Theories
• Open Strings
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Supersymmetric World-volume Action for Non-BPS D-branes
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• Spacelike Branes
• T-duality and Actions for Non-BPS D-branes
• SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair
• Boundary States of D-Branes and Dy-Strings
• On tadpoles and vacuum redefinitions in String Theory
• Boundary String Field Theory of the DDbar System
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Chiral symmetry breaking as open string tachyon condensation
• Timelike Boundary Liouville Theory
• Rolling Tachyons and Decaying Branes
• Brane-Antibrane Action from Boundary String Field Theory
• Time Evolution in Open String Theory
• Coupling of Rolling Tachyon to Closed Strings
• Theory and Phenomenology of Type I strings and M-theory
• Stable non-BPS D-particles
• Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking
• Stable non-BPS states in string theory: a pedagogical review
• Closed strings from decaying D-branes
• Charged and Uncharged D-branes in various String Theories
• Ramond-Ramond Couplings on Brane-Antibrane Systems
• Stable non-BPS D-branes in Type I string theory
• Hybrid Inflation and Brane-Antibrane System
• On $({\alpha }^{\prime }{)}^2$ corrections to the D-brane action for non-geodesic world-volume embeddings
• On Classical Stability with Broken Supersymmetry
• On Wess-Zumino terms of Brane-Antibrane systems
• Scattering Equations and String Theory Amplitudes
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• More on WZ action of non-BPS branes
• Stability, Tunneling and Flux Changing de Sitter Transitions in the Large Volume String Scenario
• ADM reduction of IIB on $H^{p,q}$ and dS braneworld
• $N^3$ entropy of M5 branes from dielectric effect
• On effective actions of BPS branes and their higher derivative corrections
• More on closed string induced higher derivative interactions on D-branes
• Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Highly Effective Actions
• 4-point effective actions in open and closed superstring theory
• The Spacetime Life of a Non-BPS D-particle
• Selection Rules and RR Couplings on Non-BPS Branes
• Non-BPS Branes in a Type I Orbifold
• All order ${\alpha }^{\prime }$ higher derivative corrections to non-BPS branes of type IIB Super string theory
• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
• On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
• Superconnections and the Higgs Field
• SuperYang-Mills, Chern-Simons couplings and their all order ${\alpha }^{\prime }$ corrections in IIB superstring theory
• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• Critical Collapse in the Axion-Dilaton System in Diverse Dimensions
• On RR Couplings and Bulk Singularity Structures of Non-BPS Branes
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• More On Critical Collapse of Axion-Dilaton System in Dimension Four
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• On D-brane-Anti D-brane Effective actions and their all order Bulk Singularity Structures
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• On Bulk Singularity Structures and all order ${\alpha }^{\prime }$ Contact Terms of BPS String Amplitudes
• Ramond-Ramond couplings of D-branes
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• Non Abelian Geometrical Tachyon
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
• On Non-BPS Effective Actions of String Theory
• On Special Limit of Non-Supersymmetric Effective Actions of type II String theory

Cited by in corpus (2)

• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• On Special Limit of Non-Supersymmetric Effective Actions of type II String theory