On the renormalization group flow in two dimensional superconformal models

Changrim Ahn; Marian Stanishkov

doi:10.1016/j.nuclphysb.2014.06.009

On the renormalization group flow in two dimensional superconformal models

Changrim Ahn, Marian Stanishkov

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models _{SM p} for p ≫ 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme proposed in [1]. As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory _{SM p -2} is exactly the same as those of the nonsupersymmetric minimal theory.

Original language	English
Pages (from-to)	713-733
Number of pages	21
Journal	Nuclear Physics, Section B
Volume	885
DOIs	https://doi.org/10.1016/j.nuclphysb.2014.06.009
State	Published - Aug 2014

Bibliographical note

Funding Information:
This work was partially supported by the Korean–Eastern European cooperation in research and development through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2013K1A3A1A39073412 ) (CA).

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title = "On the renormalization group flow in two dimensional superconformal models",

abstract = "We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SM p for p ≫ 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme proposed in [1]. As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory SM p -2 is exactly the same as those of the nonsupersymmetric minimal theory.",

author = "Changrim Ahn and Marian Stanishkov",

note = "Funding Information: This work was partially supported by the Korean–Eastern European cooperation in research and development through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2013K1A3A1A39073412 ) (CA).",

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AU - Stanishkov, Marian

N1 - Funding Information: This work was partially supported by the Korean–Eastern European cooperation in research and development through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2013K1A3A1A39073412 ) (CA).

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N2 - We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SM p for p ≫ 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme proposed in [1]. As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory SM p -2 is exactly the same as those of the nonsupersymmetric minimal theory.

AB - We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SM p for p ≫ 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme proposed in [1]. As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory SM p -2 is exactly the same as those of the nonsupersymmetric minimal theory.

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SN - 0550-3213

VL - 885

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EP - 733

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

ER -

On the renormalization group flow in two dimensional superconformal models

Abstract

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