All order ${\alpha }^{\prime }$ higher derivative corrections to non-BPS branes of type IIB Super string theory

Abstract

By dealing with the evaluation of string theory correlators of $<V_C{V}_T{V}_{\bar{\Psi }}{V}_{\Psi }>$, the complete and closed form of the amplitude of two fermion fields, one tachyon and one closed string Ramond-Ramond field in type IIB superstring theory is found. Specifically by comparing infinite tachyon poles in field theory amplitude with infinite tachyon poles of the S-matrix of string amplitude (for $p+1=n$ case), all the infinite higher derivative corrections of two tachyons and two fermions (in type IIB) to all orders of ${\alpha }^{\prime }$ have been discovered. Using these new couplings, we are able to produce infinite $t^{\prime }+s^{\prime }+u$-channel tachyon poles of string theory in field theory. Due to internal degrees of freedom of fermions and tachyon (Chan-Paton factors) we comment that, neither there should be single $s,t-$channel fermion (tachyon pole) nor their infinite poles. Due to internal CP factor we also discover that there is no coupling between two closed string Ramond-Ramond (RR) field and one tachyon in type II super string theory. Taking into account the fact that the kinetic terms of fermions, gauge, scalar fields and tachyons do not obtain any higher derivative corrections, and due to their CP factors, string theory amplitude dictates us there should not be any double poles in the amplitude of one RR, two fermions and one tachyon.

27 pages, two figures, comments, more clarifications and conclusion section are added, published version

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• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
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• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• New Examples of Flux Vacua
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
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• Highly Symmetric D-brane-Anti-D-brane Effective Actions
• On All-Order Higher-Point $\text{D}p$-$\overline{\text{D}p}$ Effective Actions
• On Non-BPS Effective Actions of String Theory
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• All-Order Quartic Couplings in Highly Symmetric D-brane-Anti-D-brane Systems
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
• On Special Limit of Non-Supersymmetric Effective Actions of type II String theory
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB