Nonminimal string corrections and supergravity (original) (raw)

Complete and consistent non-minimal string corrections to supergravity

2008

We give a complete and consistent solution to string corrected (deformed), D = 10, N = 1 supergravity as the non-minimal low energy limit of string theory. We solve the Bianchi identities with suitable constraints to second order in the string slope parameter. In so doing we pave the way for continuing the study of the many applications of these results. We also modify, reaffirm and correct a previously given incomplete solution, and we introduce an important adjustment to the known first order results.

String corrections to supergravity theories

2003

In this thesis, we study the leading quantum corrections to supergravity theories in four dimensions, given by the fourth power of the Riemann tensor ( R4 ). We write, in four-dimensional superspace, the N = 1 minimal action which contains the fourth power of the Weyl tensor with a coupling constant. Starting from the superspace action, we fully compute the

Inclusion of Yang–Mills fields in string corrected supergravity

Physics Letters B, 2008

We consistently incorporate Yang Mills matter fields into string corrected (deformed), D=10, N=1 Supergravity. We solve the Bianchi identities within the framework of the modified beta function favored constraints to second order in the string slope parameter γ also including the Yang Mills fields. In the torsion, curvature and H sectors we find that a consistent solution is readily obtained with a Yang Mills modified supercurrent A abc. We find a solution in the F sector following our previously developed method.

General form of string corrections to supersymmetry transformation in D=10, N=1 supergravity

Physics Letters B, 1987

We present the O(a' 3) heterotic string corrections to the supersymmetry transformation rules of D= 10, N= I supergravity multiplet, which satisfy the on-shell closure of supersymmetry. We also generalize this result to higher orders in a', assuming a natural form of the leading O (o~'") heterotic string corrections to the effective action of the supergravity multiplet. We find no modification to the Killing spinor equations for the gravitino and dilatino at O(a' 5) or higher, whenever fermionic condensates are absent. 1. Introduction. One of the most important features of ten-dimensional string theories [ 1 ] is the possibility of non-trivial (chiral) compactification into four-dimensional space-time (D=4) in the point field theory limit. In particular, in the heterotic string theory with the gauge group Es × E8 [2], the compactification on Calabi-Yau manifolds with SU(3) holonomy gives rise to D= 4, N= 1 surviving supersymmetry with the grand unification group E 6 [31. The analysis in ref. [ 3 ] was based on the tree-level O(c~') correction to the D= 10, N= 1 supergravity, that arise from the Green-Schwarz anomaly cancellation mechanism [4]. Recently, higher order corrections have been obtained by tree-level string amplitude calculations in D= 10 [5,6], and by amodel fl-function calculations in D = 2 [ 7 ]. Essential agreement between these two kinds of calculations has been found up to O(a'4). It is also claimed that the Calabi-Yau manifold is the solution of the treelevel field equations in D = 10 to all orders in ce' [ 8 ]. The original motivation [3] of considering the Calabi-Yau manifold for surviving supersymmetry, however, has become obscure, because the covariant supersymmetry transformation rules in D = 10 with higher order corrections in or' needed for Killing spi

On Riemann curvature corrections to type II supergravity

arXiv (Cornell University), 2013

We observe that the replacement of the Riemann curvature with the generalized Riemann curvature into the corrections to the type II supergravity at order α ′3 which are in terms of the contractions of four Riemann curvatures R 4 , is not fully consistent with the S-matrix elements in the superstring theory. In particular, they produce nonzero S-matrix elements for odd number of B-field strengths which are not consistent with the string theory results. Using the consistency of the couplings with the linear T-duality as a guiding principle, we consider all T-duality invariant couplings and fix their coefficients by requiring them to be consistent with the S-matrix elements. The new Lagrangian density is then equivalent to the replacement of the generalized Riemann curvature into the expression t 8 t 8 R 4 .

Generalized Riemann curvature corrections to type II supergravity

Physical Review D, 2013

We observe that the replacement of the Riemann curvature with the generalized Riemann curvature into the corrections to the type II supergravity at order α ′3 which are in terms of the contractions of four Riemann curvatures R 4 , is not fully consistent with the S-matrix elements in the superstring theory. In particular, they produce nonzero S-matrix elements for odd number of B-field strengths which are not consistent with the string theory results. Using the consistency of the couplings with the linear T-duality as a guiding principle, we consider all T-duality invariant couplings and fix their coefficients by requiring them to be consistent with the S-matrix elements.