TY - JOUR
T1 - Shadow formalism for supersymmetric conformal blocks
AU - Belavin, V.
AU - Ramos Cabezas, J.
AU - Runov, B.
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/11
Y1 - 2024/11
N2 - Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation.
AB - Shadow formalism is a technique in two-dimensional CFT allowing straightforward computation of conformal blocks in the limit of infinitely large central charge. We generalize the construction of shadow operator for superconformal field theories. We demonstrate that shadow formalism yields known expressions for the large-c limit of the four-point superconformal block on a plane and of the one-point superconformal block on a torus. We also explicitly find the two-point global torus superconformal block in the necklace channel and check it against the Casimir differential equation.
KW - AdS-CFT Correspondence
KW - Conformal and W Symmetry
KW - Field Theories in Lower Dimensions
KW - Supersymmetry and Duality
UR - http://www.scopus.com/inward/record.url?scp=85209068222&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2024)048
DO - 10.1007/JHEP11(2024)048
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85209068222
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 48
ER -