maria schimpf - Academia.edu (original) (raw)

Papers by maria schimpf

Group theoretic methods to construct all N-particle singlet states by iterative recursion are pre... more Group theoretic methods to construct all N-particle singlet states by iterative recursion are presented. These techniques are applied to the quantum correlations of four spin one-half particles in their singlet states. Multipartite quantized systems can be partitioned, and their observables grouped and redefined into condensed correlations. PACS numbers: 03.67.Hk,03.65.Ud

In this paper we study compactifications of the calN=2{\cal N}=2calN=2 heterotic E8timesE8E_8\times E_8E8timesE8 string on ... more In this paper we study compactifications of the calN=2{\cal N}=2calN=2 heterotic E8timesE8E_8\times E_8E_8timesE8 string on (K3timesT2)/mathbbZ3(K3\times T^2)/\mathbb{Z}_3(K3timesT2)/mathbbZ_3 with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that arise from one-loop amplitudes. We then identify candidates for dual type IIA compactifications on Calabi-Yau threefolds and compare the heterotic results with the corresponding topological string amplitudes. We find that the dual Calabi-Yau geometries are K3K3K3 fibrations that are also genus one fibered with three-sections. Moreover, we show that the intersection form on the polarization lattice of the K3K3K3 fibration has to be three times the intersection form on the Narain lattice Gamma1,1\Gamma^{1,1}Gamma1,1.

Journal of High Energy Physics, Feb 1, 2020

We provide further evidence that CY 3 manifolds are involved in an intricate way in Mathieu moons... more We provide further evidence that CY 3 manifolds are involved in an intricate way in Mathieu moonshine, i.e., their Gromov-Witten invariants are related to the expansion coefficients of the twined/twisted-twined elliptic genera of K3. We use the string duality between CHL orbifolds of heterotic string theory on K3 × T 2 and type IIA string theory on CY 3 manifolds to explicitly show this connection. We then work out two concrete examples where we exactly match the expansion coefficients on both sides of the duality.

Journal of High Energy Physics, Feb 1, 2018

A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathie... more A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathieu group M 24 was proposed. We study the elliptic genera for Calabi-Yau manifolds of larger dimensions and discuss potential connections between the expansion coefficients of these elliptic genera and sporadic groups. While the Calabi-Yau 3-fold case is rather uninteresting, the elliptic genera of certain Calabi-Yau d-folds for d > 3 have expansions that could potentially arise from underlying sporadic symmetry groups. We explore such potential connections by calculating twined elliptic genera for a large number of Calabi-Yau 5-folds that are hypersurfaces in weighted projected spaces, for a toroidal orbifold and two Gepner models.

Journal of High Energy Physics

In this paper we study compactifications of the N = 2 heterotic E 8 × E 8 string on (K3 × T 2)/Z ... more In this paper we study compactifications of the N = 2 heterotic E 8 × E 8 string on (K3 × T 2)/Z 3 with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that arise from one-loop amplitudes. We then identify candidates for dual type IIA compactifications on Calabi-Yau threefolds and compare the heterotic results with the corresponding topological string amplitudes. We find that the dual Calabi-Yau geometries are K3 fibrations that are also genus one fibered with threesections. Moreover, we show that the intersection form on the polarization lattice of the K3 fibration has to be three times the intersection form on the Narain lattice Γ 1,1 .

Mod Phys Lett a, 2009

In this paper we study the solitonic string solutions of magnon and single spike type in the beta... more In this paper we study the solitonic string solutions of magnon and single spike type in the beta-deformed AdS 4 × CP 3 background. We find the dispersion relations which are supposed to give the anomalous dimension of the gauge theory operators.

The European Physical Journal C, Feb 21, 2009

The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspo... more The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspondence suggests to look for simplifications. Two such simplifications proved to be useful in studying string theory. These are the pp-wave limit which describes point-like strings and the so called "near flat space" limit which connects two different sectors of string theory-pp-waves and "giant magnons". Recently another example of AdS/CFT duality emerged-AdS 4 /CF T 3 , which suggests duality between N = 6 CS theory and superstring theory on AdS 4 × CP 3. In this paper we study the "near flat space" limit of strings on the AdS 4 × CP 3 background and discuss possible applications of the reduced theory.

This paper is dedicated to Sylvia Pulmannová, in appreciation of her scientific accomplishments, ... more This paper is dedicated to Sylvia Pulmannová, in appreciation of her scientific accomplishments, and also for the enjoyment and privilege to be co-author in some of her research articles, as well as meeting her personally. One of the most remarkable impressions on me (K.S.) was her humbleness as a person and colleague, accompanied by her extreme professional skills in mathematics, logics and physics.

Modern Physics Letters a, Jul 28, 2011

Recently there has been progress on the computation of two-and three-point correlation functions ... more Recently there has been progress on the computation of two-and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS5 × T 1,1 , and examine the suggested procedure for the case of several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual gauge theory.

Group theoretic methods to construct all N-particle singlet states by iterative recursion are pre... more Group theoretic methods to construct all N-particle singlet states by iterative recursion are presented. These techniques are applied to the quantum correlations of four spin one-half particles in their singlet states. Multipartite quantized systems can be partitioned, and their observables grouped and redefined into condensed correlations. PACS numbers: 03.67.Hk,03.65.Ud

In this paper we study compactifications of the calN=2{\cal N}=2calN=2 heterotic E8timesE8E_8\times E_8E8timesE8 string on ... more In this paper we study compactifications of the calN=2{\cal N}=2calN=2 heterotic E8timesE8E_8\times E_8E_8timesE8 string on (K3timesT2)/mathbbZ3(K3\times T^2)/\mathbb{Z}_3(K3timesT2)/mathbbZ_3 with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that arise from one-loop amplitudes. We then identify candidates for dual type IIA compactifications on Calabi-Yau threefolds and compare the heterotic results with the corresponding topological string amplitudes. We find that the dual Calabi-Yau geometries are K3K3K3 fibrations that are also genus one fibered with three-sections. Moreover, we show that the intersection form on the polarization lattice of the K3K3K3 fibration has to be three times the intersection form on the Narain lattice Gamma1,1\Gamma^{1,1}Gamma1,1.

Journal of High Energy Physics, Feb 1, 2020

We provide further evidence that CY 3 manifolds are involved in an intricate way in Mathieu moons... more We provide further evidence that CY 3 manifolds are involved in an intricate way in Mathieu moonshine, i.e., their Gromov-Witten invariants are related to the expansion coefficients of the twined/twisted-twined elliptic genera of K3. We use the string duality between CHL orbifolds of heterotic string theory on K3 × T 2 and type IIA string theory on CY 3 manifolds to explicitly show this connection. We then work out two concrete examples where we exactly match the expansion coefficients on both sides of the duality.

Journal of High Energy Physics, Feb 1, 2018

A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathie... more A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathieu group M 24 was proposed. We study the elliptic genera for Calabi-Yau manifolds of larger dimensions and discuss potential connections between the expansion coefficients of these elliptic genera and sporadic groups. While the Calabi-Yau 3-fold case is rather uninteresting, the elliptic genera of certain Calabi-Yau d-folds for d > 3 have expansions that could potentially arise from underlying sporadic symmetry groups. We explore such potential connections by calculating twined elliptic genera for a large number of Calabi-Yau 5-folds that are hypersurfaces in weighted projected spaces, for a toroidal orbifold and two Gepner models.

Journal of High Energy Physics

In this paper we study compactifications of the N = 2 heterotic E 8 × E 8 string on (K3 × T 2)/Z ... more In this paper we study compactifications of the N = 2 heterotic E 8 × E 8 string on (K3 × T 2)/Z 3 with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that arise from one-loop amplitudes. We then identify candidates for dual type IIA compactifications on Calabi-Yau threefolds and compare the heterotic results with the corresponding topological string amplitudes. We find that the dual Calabi-Yau geometries are K3 fibrations that are also genus one fibered with threesections. Moreover, we show that the intersection form on the polarization lattice of the K3 fibration has to be three times the intersection form on the Narain lattice Γ 1,1 .

Mod Phys Lett a, 2009

In this paper we study the solitonic string solutions of magnon and single spike type in the beta... more In this paper we study the solitonic string solutions of magnon and single spike type in the beta-deformed AdS 4 × CP 3 background. We find the dispersion relations which are supposed to give the anomalous dimension of the gauge theory operators.

The European Physical Journal C, Feb 21, 2009

The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspo... more The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspondence suggests to look for simplifications. Two such simplifications proved to be useful in studying string theory. These are the pp-wave limit which describes point-like strings and the so called "near flat space" limit which connects two different sectors of string theory-pp-waves and "giant magnons". Recently another example of AdS/CFT duality emerged-AdS 4 /CF T 3 , which suggests duality between N = 6 CS theory and superstring theory on AdS 4 × CP 3. In this paper we study the "near flat space" limit of strings on the AdS 4 × CP 3 background and discuss possible applications of the reduced theory.

This paper is dedicated to Sylvia Pulmannová, in appreciation of her scientific accomplishments, ... more This paper is dedicated to Sylvia Pulmannová, in appreciation of her scientific accomplishments, and also for the enjoyment and privilege to be co-author in some of her research articles, as well as meeting her personally. One of the most remarkable impressions on me (K.S.) was her humbleness as a person and colleague, accompanied by her extreme professional skills in mathematics, logics and physics.

Modern Physics Letters a, Jul 28, 2011

Recently there has been progress on the computation of two-and three-point correlation functions ... more Recently there has been progress on the computation of two-and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS5 × T 1,1 , and examine the suggested procedure for the case of several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual gauge theory.