Abstract
Motivated by the standard form of the string-theory amplitude, we calculate the field-theory amplitude to complete the higher-derivative terms in type II supergravity theories in their conventional form. We derive explicitly the O(alpha '^3) interactions for the RR (Ramond–Ramond) fields with graviton, B-field and dilaton in the low-energy effective action of type II superstrings. We check our results by comparison with previous work that has been done by the other methods, and we find exact agreement.
Highlights
Higher-derivative corrections to string theories and M-theory are importantly studied in various ways: string amplitude [1,2,3,4,5,6,7], non-linear sigma model [8,9], superfield and noether’s method [10,11,12,13,14,15,16,17], duality completion [18,19,20,21], and so on. Each of these approaches has been employed in different formalisms such as the RNS (Ramond-Neveu-Schwarz) [22,23,24], GS (Green-Schwarz) [17,20,26,27] and pure-spinor [28] formalisms to determine the higher-order terms
It is well known that the low-energy effective action of superstring theory is given by supergravity describing only the interactions of massless modes in the string-theory spectrum
We have compared the results of this paper with the corresponding couplings which have been obtained from string amplitude calculations in the RNS [23] and pure-spinor formalisms [28] as well as the T-duality approach [18,23], and we find exact agreement when we write both couplings in terms of independent variables
Summary
Higher-derivative corrections to string theories and M-theory are importantly studied in various ways: string amplitude [1,2,3,4,5,6,7], non-linear sigma model [8,9], superfield and noether’s method [10,11,12,13,14,15,16,17], duality completion [18,19,20,21], and so on. It is well known that the low-energy effective action of superstring theory is given by supergravity describing only the interactions of massless modes in the string-theory spectrum This can be shown explicitly by calculating the fieldtheory amplitudes of massless states [25]. The scattering amplitudes of massless states in superstring theory include corrections to their corresponding low-energy effective actions. These terms contain α corrections to the supergravity which arise due to the length of the fundamental string s and string coupling constant gs which correspond to string quantum corrections in spacetime. Feynman rules for the processes we want to compute By employing these rules we calculate the tree-level fourpoint amplitude for two RR–two NSNS scattering to find higher-derivative corrections to type II supergravities in their. We compare our results with previous work and find exact agreement
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