Super Gluon Five-Point Amplitudes in AdS Space

Abstract

We present the tree-level five-point amplitude of the lowest KK mode of SYM on AdS5×S 3 , dual to the correlator of the flavor current multiplet in the dual 4d N = 2 SCFT. Its color and kinematical structure is particularly simple and resembles that of the flat-space gluon amplitude.

BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of super gluons

“…We stress again that the relations ( 27) capture the appearance of BCJ relations in AdS for all Kaluza-Klein modes. Such relations are manifest at level of the reduced Mellin amplitude while they do not hold, at least directly, for the full Mellin amplitude [7]. It is an interesting open question how such relations might extend to higher point amplitudes in AdS and what the role of a reduced Mellin amplitude might be in this regard.…”

“…The upshot is that there seems to be an underlying common structure between gravity and gauge theories, yet to be fully understood. While most of these efforts have related to flat space, mainly because of the difficulties in performing such computations in curved backgrounds, a recent series of papers have begun the exploration of these properties in AdS backgrounds, both in Mellin space [4][5][6][7], as well as in position [8,9] and momentum space [10,11]. Many of these developments have use bootstrap methods that have been highly successful in studying supergravity in AdS [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26], as well as string corrections [27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Snowmass White Paper: Bootstrapping String Theory

“…One approach is through SCFTs with flavor symmetry realized through flavor branes in the bulk. In this context, correlators of the conserved current multiplets are related to open string scattering amplitudes of the gluons living on the branes [120][121][122]. Another approach is through defect CFTs that are dual to wrapped branes, where correlators of local operators in the presence of the defect are related to closed string amplitudes in the presence of the brane.…”

Selected Topics in Analytic Conformal Bootstrap: A Guided Journey

“…We refer the reader to [161] for details of how the constraints fix the correlator and explicit expressions of the amplitude. Finally, let us point out that the method we reviewed in this section can also be used to bootstrap the super gluon five-point function in AdS 5 [165].…”

“…Searching for AdS extensions of flat-space amplitude properties is an interesting line of research, although such a program is still in its infancy. For recent developments, see [165,182,[196][197][198][199][200][201][202][203][204][205][206][207].…”