Microstate renormalization in deformed D1-D5 SCFT

Lima, A. A.; Sotkov, G. M.; Stanishkov, M.

doi:10.1016/j.physletb.2020.135630

Cited by 25 publications

(49 citation statements)

References 18 publications

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“…], which must agree with the results found elsewhere [66][67][68][69] in other correlation functions involving two deformation operators. Indeed, for…”

Section: Different Twists N 1 = Nsupporting

confidence: 91%

“…(5.5) survives. This ensures the normalization of the interaction operators, as extensively discussed in [66][67][68][69]. In fact, the two channels (5.7a) and (5.7b) correspond to the OPE…”

Section: Different Twists N 1 = Nmentioning

confidence: 91%

“…These integrals are divergent, but can be regularized with the same framework developed in refs. [66][67][68][69]. We show that the regularized integrals of every function (1.3) vanish -a direct verification of the non-renormalization of the generic Ramond ground states.…”

Section: Jhep07(2021)120mentioning

confidence: 92%

“…One must compute the contraction of the operators in the numerator with T (z), and manipulate the result conveniently, see refs. [66][67][68][69]. For example, for the field [R1…”

Section: )mentioning

confidence: 99%

“…From this four-point function one can derive several dynamical data following the same steps as in refs. [66][67][68][69]. Twisted correlators are associated with ramified coverings of the sphere, and their large-N expansion is associated with an expansion in covering surfaces with higher genera [31,33].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the dynamics of protected ramond ground states in the D1-D5 CFT

Lima

Sotkov

Stanishkov

2021

J. High Energ. Phys.

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We examine the behavior of the Ramond ground states in the D1-D5 CFT after a deformation of the free-orbifold sigma model on target space ($$ {\mathbbm{T}}^4 $$ T 4 )N/SN by a marginal interaction operator. These states are compositions of Ramond ground states of the twisted and untwisted sectors. They are characterized by a conjugacy class of SN and by the set of their “spins”, including both R-charge and “internal” SU(2) charge. We compute the four-point functions of an arbitrary Ramond ground state with its conjugate and two interaction operators, for genus-zero covering surfaces representing the leading orders in the large-N expansion. We examine short distance limits of these four-point functions, shedding light on the dynamics of the interacting theory. We find the OPEs and a collection of structure constants of the ground states with the interaction operators and a set of resulting non-BPS twisted operators. We also calculate the integrals of the four-point functions over the positions of the interaction operators and show that they vanish. This provides an explicit demonstration that the Ramond ground states remain protected against deformations away of the free orbifold point, as expected from algebraic considerations using the spectral flow of the $$ \mathcal{N} $$ N = (4, 4) superconformal algebra with central charge c = 6N.

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“…], which must agree with the results found elsewhere [66][67][68][69] in other correlation functions involving two deformation operators. Indeed, for…”

Section: Different Twists N 1 = Nsupporting

confidence: 91%

Section: Different Twists N 1 = Nmentioning

confidence: 91%

Section: Jhep07(2021)120mentioning

confidence: 92%

“…One must compute the contraction of the operators in the numerator with T (z), and manipulate the result conveniently, see refs. [66][67][68][69]. For example, for the field [R1…”

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the dynamics of protected ramond ground states in the D1-D5 CFT

Lima

Sotkov

Stanishkov

2021

J. High Energ. Phys.

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Ramond States of the D1-D5 CFT Away from the Free Orbifold Point

Lima

Sotkov

Stanishkov

2022

Springer Proceedings in Mathematics &Amp; Statistics

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Partial spectral flow in the D1D5 CFT

Guo,

Hampton

2024

J. High Energ. Phys.

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The two-dimensional 𝒩 = 4 superconformal algebra has a free field realization with four bosons and four fermions. There is an automorphism of the algebra called spectral flow. Under spectral flow, the four fermions are transformed together. In this paper, we study partial spectral flow where only two of the four fermions are transformed. Partial spectral flow is applied to the D1D5 CFT where a marginal deformation moves the CFT away from the free point. The partial spectral flow is broken by the deformation. We show that this effect can be studied due to a transformation of the deformation which is well-defined under partial spectral flow. As a result in the spectrum, we demonstrate how to compute the second-order energy lift of a D1D5P state through its partial spectral flowed state. We find that D1D5P states related by partial spectral flow do not have the same lift in general.

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Microstate renormalization in deformed D1-D5 SCFT

Cited by 25 publications

References 18 publications

On the dynamics of protected ramond ground states in the D1-D5 CFT

On the dynamics of protected ramond ground states in the D1-D5 CFT

Ramond States of the D1-D5 CFT Away from the Free Orbifold Point

Partial spectral flow in the D1D5 CFT

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