Topological B-model and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mover accent="true"><mml:mi>c</mml:mi><mml:mo>ˆ</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> string theory

Hyun, Seungjoon; Oh, Kyungho; Park, Jong Dae; Yi, Sang Heon

doi:10.1016/j.nuclphysb.2005.08.048

Cited by 6 publications

(14 citation statements)

References 51 publications

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“…The reason for this is that we can now make contact with the higher genus analysis described in [21], which is equivalent to the Kodaira-Spencer description of the topological string [30]. See also [4,6], where similar techniques are used. To do this we need to consider [10,21] a superpotential given by…”

Section: The 0a Matrix Model At Other Radiimentioning

confidence: 99%

“…It is well known that the topological theory on the conifold is perturbatively equivalent to c = 1 bosonic non-critical string theory at self-dual radius, and hence to a matrix model [2]. In fact, there are quite general correspondences between matrix models and topological strings on non-compact Calabi-Yaus based on ground ring considerations [3,4,5,6].…”

Section: Introductionmentioning

confidence: 99%

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4D black holes and holomorphic factorization of the 0A matrix model

Danielsson¹,

Johansson²,

Larfors³

et al. 2005

J. High Energy Phys.

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In this letter, we relate the free energy of the 0A matrix model to the sum of topological and anti-topological string amplitudes. For arbitrary integer multiples of the matrix model self-dual radius we describe the geometry on which the corresponding topological string propagates. This geometry is not the one that follows from the usual ground ring analysis, but in a sense its "holomorphic square root". Mixing of terms for different genus in the matrix model free energy yields one-loop terms compatible with type II strings on compact Calabi-Yau target spaces. As an application, we give an explicit example of how to relate the 0A matrix model free energy to that of a four-dimensional black hole in type IIB theory, compactified on a compact Calabi-Yau. Variables, Legendre transforms, and large classical terms on both sides match perfectly.

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Section: The 0a Matrix Model At Other Radiimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

4D black holes and holomorphic factorization of the 0A matrix model

Danielsson¹,

Johansson²,

Larfors³

et al. 2005

J. High Energy Phys.

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“…Apart from the constructing of the gauge sector of multiple M2-branes, Chern-Simons theories have also been used for analyzing open strings ending on a D-brane in the A-model topological string theory [26]. The holomorphic Chern-Simons theory is also used for analyzing the B-model in the string theory [27].…”

Section: So(1 3)] × [So(8)/so(7)] ⊂ O Sp(8|4)/[so(1 3)mentioning

confidence: 99%

“…In this section, we are going to verify the S I M(1) invariance of the Chern-Simons action (41). According to (26) and (27), the infinitesimal change of the action is…”

Section: S I M(1) Invariance Of the Actionmentioning

confidence: 99%

Chern–Simons theory in SIM(1) superspace

Vohánka¹,

Faizal²

2015

Eur. Phys. J. C

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In this paper, we will analyze a three-dimensional supersymmetric Chern-Simons theory in S I M(1) superspace formalism. The breaking of the Lorentz symmetry down to the S I M(1) symmetry breaks half the supersymmetry of the Lorentz invariant theory. So, the supersymmetry of the Lorentz invariant Chern-Simons theory with N = 1 supersymmetry will break down to N = 1/2 supersymmetry, when the Lorentz symmetry is broken down to the S I M(1) symmetry. First, we will write the Chern-Simons action using S I M(1) projections of N = 1 superfields. However, as the S I M(1) transformations of these projections are very complicated, we will define S I M(1) superfields which transform simply under S I M(1) transformations. We will then express the Chern-Simons action using these S I M(1) superfields. Furthermore, we will analyze the gauge symmetry of this Chern-Simons theory. This is the first time that a Chern-Simons theory with N = 1/2 supersymmetry will be constructed on a manifold without a boundary.

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“…It is possible for D-branes to end on other objects in string theory [35]- [39]. The Chern-Simons theory has been used for analyzing a system of open strings ending on D-branes in the the A-model topological string theory [40], and the Holomorphic Chern-Simons theory has been used for analyzing the B-model in the string theory [41]. Thus, it is important to study the Chern-Simons theory in presence of a boundary.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric Chern–Simons theory in presence of a boundary in the light-like direction

Vohánka

Faizal

2016

Nuclear Physics B

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In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by n · x = 0, where n is a light-like vector. It will be demonstrated that this boundary is preserved under the action of the SIM (1) subgroup of the Lorentz group. Furthermore, the presence of this boundary will break half of the supersymmetry of the original theory. As the original Chern-Simons theory had N = 1 supersymmetry in absence of a boundary, it will only have N = 1/2 supersymmetry in presence of this boundary. We will also observe that the Chern-Simons theory can be made gauge invariant by introducing new degrees of freedom on the boundary. The gauge transformation of these new degrees of freedom will exactly cancel the boundary term obtained from the gauge transformation of the Chern-Simons theory. * vohanka@physics.muni.cz † f2mir@uwaterloo.ca

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Topological B-model and cˆ=1 string theory

Cited by 6 publications

References 51 publications

4D black holes and holomorphic factorization of the 0A matrix model

4D black holes and holomorphic factorization of the 0A matrix model

Chern–Simons theory in SIM(1) superspace

Supersymmetric Chern–Simons theory in presence of a boundary in the light-like direction

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