scholarly journals Constraining momentum space correlators using slightly broken higher spin symmetry

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Sachin Jain ◽  
Renjan Rajan John ◽  
Vinay Malvimat

Abstract In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic and quasi-bosonic theories. The direct Feynman diagram approach to computing correlation functions is intricate and in general has been performed only in specific kinematic regimes. We use higher spin equations to obtain the parity even and parity odd contributions to two-, three- and four-point correlators involving spinning and scalar operators in a general kinematic regime, and match our results with existing results in the literature for cases where they are available.One of the interesting facts about higher spin equations is that one can use them away from the conformal fixed point. We illustrate this by considering mass deformed free boson theory and solving for two-point functions of spinning operators using higher spin equations.

2005 ◽  
Vol 2005 (08) ◽  
pp. 088-088 ◽  
Author(s):  
Massimo Bianchi ◽  
Paul J Heslop ◽  
Fabio Riccioni

2004 ◽  
Vol 2004 (07) ◽  
pp. 058-058 ◽  
Author(s):  
N Beisert ◽  
M Bianchi ◽  
J.F Morales ◽  
H Samtleben

1987 ◽  
Vol 177 (1) ◽  
pp. 63-112 ◽  
Author(s):  
E.S. Fradkin ◽  
M.A. Vasiliev

2010 ◽  
Vol 2010 (10) ◽  
Author(s):  
Massimo Bianchi ◽  
Rubik Poghossian ◽  
Marine Samsonyan

1989 ◽  
Vol 04 (27) ◽  
pp. 2649-2665 ◽  
Author(s):  
E.S. FRADKIN ◽  
V. Ya. LINETSKY

Constructed are conformal higher spin superalgebras in one and two dimensions, which contain the Virasoro algebra as a subalgebra. The general structure of these superalgebras is investigated.


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