arXiv:2409.18183

N=2 Heterotic Strings Revisited

Amit Giveon, Akikazu Hashimoto A, David Kutasov

Published Sep 26, 2024• 0 citations

Abstract

We show that $1+1$ dimensional vacua of the $(0,2)$ heterotic string have many properties in common with more recently studied physical systems. The free theory exhibits a symmetric product CFT structure. The single-string Hilbert space splits into sectors labeled by the string winding, $w$, that contain purely left-moving (for $w>0$) and right-moving (for $w<0$) excitations. These sectors exhibit infinite-dimensional left and right-moving symmetry algebras, respectively, with central extensions that depend on $w$. String interactions between left and right-movers appear to lead to a $T\bar T$ deformation of the free theory.

DOI: 10.48550/arxiv.2409.18183

Related papers

Left-right entanglement entropy of Dp-branes

Leopoldo A. Pando Zayas, Norma Quiroz

Journal of High Energy PhysicsNov 1, 201612 citations

Left-Right Entanglement Entropy of Dp-branes

Leopoldo A. Pando Zayas, Norma Quiroz

arXiv:1605.08666May 27, 20162 citations

Four-twist effects and monodromy in symmetric orbifold CFTs

Bin Guo, Shaun D. Hampton

arXiv:2411.01774Nov 4, 20240 citations

$$ T\overline{T},J\overline{T},T\overline{J} $$ partition sums from string theory

Akikazu Hashimoto, David Kutasov

A bstract We calculate the torus partition sum of a general CFT 2 with left and right moving conserved currents J and $$ \overline{J} $$ J ¯ , perturbed by a combination of the irrelevant operators $$ T\overline{T},J\overline{T} $$ T T ¯ , J T ¯ and $$ T\overline{J} $$ T J ¯ . We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed CFT 2 with non-vanishing chemical potentials.

arXiv:1907.07221Journal of High Energy PhysicsFeb 1, 202051 citations

Heterotic strings and quantum entanglement

Atish Dabholkar A, Upamanyu Moitra

arXiv:2407.17553Journal of High Energy PhysicsDec 3, 20243 citations

Four-twist effects on excitations in symmetric orbifold CFTs

Bin Guo, Shaun D. Hampton

arXiv:2503.21644Mar 27, 20250 citations

arXiv:2409.18183

N=2 Heterotic Strings Revisited

Amit Giveon, Akikazu Hashimoto A, David Kutasov

Published Sep 26, 2024• 0 citations

arXiv HTML PDF

Abstract

We show that

1+1

dimensional vacua of the

(0,2)

heterotic string have many properties in common with more recently studied physical systems. The free theory exhibits a symmetric product CFT structure. The single-string Hilbert space splits into sectors labeled by the string winding,

w

, that contain purely left-moving (for

w>0

) and right-moving (for

w<0

) excitations. These sectors exhibit infinite-dimensional left and right-moving symmetry algebras, respectively, with central extensions that depend on

w

. String interactions between left and right-movers appear to lead to a

T\bar T

deformation of the free theory.

DOI: 10.48550/arxiv.2409.18183

Related papers

Left-right entanglement entropy of Dp-branes

Leopoldo A. Pando Zayas, Norma Quiroz

We compute the left-right entanglement entropy for Dp-branes in string theory. We employ the CFT approach to string theory Dp-branes, in particular, its presentation as coherent states of the closed string sector. The entanglement entropy is computed as the von Neumann entropy for a density matrix resulting from integration over the left-moving degrees of freedom. We discuss various crucial ambiguities related to sums over spin structures and argue that different choices capture different physics; however, we advance a themodynamic argument that seems to favor a particular choice of replica. We also consider Dp branes on compact dimensions and verify that the effects of T-duality act covariantly on the Dp brane entanglement entropy. We find that generically the left-right entanglement entropy provides a suitable generalization of boundary entropy and of the D-brane tension.We compute the left-right entanglement entropy for Dp-branes in string theory. We employ the CFT approach to string theory Dp-branes, in particular, its presentation as coherent states of the closed string sector. The entanglement entropy is computed as the von Neumann entropy for a density matrix resulting from integration over the left-moving degrees of freedom. We discuss various crucial ambiguities related to sums over spin structures and argue that different choices capture different physics; however, we advance a themodynamic argument that seems to favor a particular choice of replica. We also consider Dp branes on compact dimensions and verify that the effects of T-duality act covariantly on the Dp brane entanglement entropy. We find that generically the left-right entanglement entropy provides a suitable generalization of boundary entropy and of the D-brane tension.

Journal of High Energy PhysicsNov 1, 201612 citations

Left-Right Entanglement Entropy of Dp-branes

Leopoldo A. Pando Zayas, Norma Quiroz

arXiv:1605.08666May 27, 20162 citations

Four-twist effects and monodromy in symmetric orbifold CFTs

Bin Guo, Shaun D. Hampton

Symmetric orbifold CFTs contain twist operators that can join and split copies of the CFT, leading to the creation of pairs from the vacuum. In this paper, we study the pair creation processes involving four twist-2 operators. In addition to the pair creation previously observed purely in the left or right moving sectors, we find a novel mixing between left and right movers during pair creation. This phenomenon arises from nontrivial monodromy conditions that originate from a genus-one covering surface, where left and right movers become coupled through the torus.Symmetric orbifold CFTs contain twist operators that can join and split copies of the CFT, leading to the creation of pairs from the vacuum. In this paper, we study the pair creation processes involving four twist-2 operators. In addition to the pair creation previously observed purely in the left or right moving sectors, we find a novel mixing between left and right movers during pair creation. This phenomenon arises from nontrivial monodromy conditions that originate from a genus-one covering surface, where left and right movers become coupled through the torus.

arXiv:2411.01774Nov 4, 20240 citations

$T\overline{T},J\overline{T},T\overline{J}$ partition sums from string theory$$ T\overline{T},J\overline{T},T\overline{J} $$ partition sums from string theory

Akikazu Hashimoto, David Kutasov

A bstract We calculate the torus partition sum of a general CFT 2 with left and right moving conserved currents J and $\overline{J}$ J ¯ , perturbed by a combination of the irrelevant operators $T\overline{T},J\overline{T}$ T T ¯ , J T ¯ and $T\overline{J}$ T J ¯ . We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed CFT 2 with non-vanishing chemical potentials.A bstract We calculate the torus partition sum of a general CFT 2 with left and right moving conserved currents J and $$ \overline{J} $$ J ¯ , perturbed by a combination of the irrelevant operators $$ T\overline{T},J\overline{T} $$ T T ¯ , J T ¯ and $$ T\overline{J} $$ T J ¯ . We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed CFT 2 with non-vanishing chemical potentials.

arXiv:1907.07221Journal of High Energy PhysicsFeb 1, 202051 citations

Heterotic strings and quantum entanglement

Atish Dabholkar A, Upamanyu Moitra

A bstract We construct ℤ N orbifolds of the ten-dimensional heterotic string theories appropriate for implementing the stringy replica method for the calculation of quantum entanglement entropy. A novel feature for the heterotic string is that the gauge symmetry must be broken by a Wilson line to ensure modular invariance. We completely classify the patterns of symmetry breaking. We show that the tachyonic contributions in all cases can be analytically continued, with a finite answer in the domain 0 < N ≤ 1, relevant for calculating entanglement entropy across the Rindler horizon. We discuss the physical implications of our results.A bstract We construct ℤ N orbifolds of the ten-dimensional heterotic string theories appropriate for implementing the stringy replica method for the calculation of quantum entanglement entropy. A novel feature for the heterotic string is that the gauge symmetry must be broken by a Wilson line to ensure modular invariance. We completely classify the patterns of symmetry breaking. We show that the tachyonic contributions in all cases can be analytically continued, with a finite answer in the domain 0 < N ≤ 1, relevant for calculating entanglement entropy across the Rindler horizon. We discuss the physical implications of our results.

arXiv:2407.17553Journal of High Energy PhysicsDec 3, 20243 citations

Four-twist effects on excitations in symmetric orbifold CFTs

Bin Guo, Shaun D. Hampton

Symmetric orbifold CFTs contain twist operators that can join and split copies of the CFT. In this paper, we study the effects of four twist-2 operators on two copies of a single free boson. A recent study analyzed their effects on the vacuum, finding a nontrivial left-right mixing that arises from the fact that the covering surface is a torus, while the effects of one or two twist-2 operators do not produce such mixing. Here, we extend this analysis to excited states and find a similar left-right mixing. Furthermore, we explore the continuum, or high-energy, limit and show that the left-right mixing becomes negligible in this limit.Symmetric orbifold CFTs contain twist operators that can join and split copies of the CFT. In this paper, we study the effects of four twist-2 operators on two copies of a single free boson. A recent study analyzed their effects on the vacuum, finding a nontrivial left-right mixing that arises from the fact that the covering surface is a torus, while the effects of one or two twist-2 operators do not produce such mixing. Here, we extend this analysis to excited states and find a similar left-right mixing. Furthermore, we explore the continuum, or high-energy, limit and show that the left-right mixing becomes negligible in this limit.

arXiv:2503.21644Mar 27, 20250 citations

We show that

1+1

dimensional vacua of the

(0,2)

w

, that contain purely left-moving (for

w>0

) and right-moving (for

w<0

) excitations. These sectors exhibit infinite-dimensional left and right-moving symmetry algebras, respectively, with central extensions that depend on

w

. String interactions between left and right-movers appear to lead to a

T\bar T

deformation of the free theory.

T\overline{T},J\overline{T},T\overline{J}

partition sums from string theory

A bstract We calculate the torus partition sum of a general CFT 2 with left and right moving conserved currents J and

\overline{J}

J ¯ , perturbed by a combination of the irrelevant operators

T\overline{T},J\overline{T}

T T ¯ , J T ¯ and

T\overline{J}

T J ¯ . We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed CFT 2 with non-vanishing chemical potentials.