Supersymmetry, Supergravity Theories and the Dual Spinor Model

Abstract:We continue with the analysis of finite temperature corrections to the Tachyon mass in intersecting branes which was initiated in [1]. In this paper we extend the computation to the case of intersecting D3 branes by considering a setup of two intersecting branes in flat-space background. A holographic model dual to BCS superconductor consisting of intersecting D8 branes in D4 brane background was proposed in [2]. The background considered here is a simplified configuration of this dual model. We compute the one-loop Tachyon amplitude in the Yang-Mills approximation and show that the result is finite. Analyzing the amplitudes further we numerically compute the transition temperature at which the Tachyon becomes massless. The analytic expressions for the one-loop amplitudes obtained here reduce to those for intersecting D1 branes obtained in [1] as well as those for intersecting D2 branes.

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“…Following [48] and [49] we give below the details of the dimensional reduction of D = 10, N = 1 to D = 4. The action for D = 10, N = 1 SYM, 1…”

Section: B Dimensional Reductionmentioning

confidence: 99%

Finite temperature corrections to tachyon mass in intersecting D-branes

Sethi

Chowdhury

Sarkar

2017

J. High Energ. Phys.

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“…We start with a summary of standard N = 4 super Yang-Mills [19,20]. The theory contains a gauge field A µ , four Weyl fermions ψ a , and six real scalars φ i , which transform under SU(4) in the 1, 4, and 6 representations respectively, and under the SU(N) gauge group in the adjoint representation.…”

Section: N = 4 Super Yang-mills With An Interfacementioning

confidence: 99%

Interface Yang–Mills, supersymmetry, and Janus

2006

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We consider theories consisting of a planar interface with N = 4 super-YangMills on either side and varying gauge coupling across the interface. The interface does not carry any independent degrees of freedom, but is allowed to support local gauge invariant operators, included with independent interface couplings. In general, both conformal symmetry and supersymmetry will be broken, but for special arrangements of the interface couplings, these symmetries may be restored. We provide a systematic classification of all allowed interface supersymmetries. We find new theories preserving eight and four Poincaré supersymmetries, which get extended to sixteen and eight supersymmetries in the conformal limit, respectively with SU (2) × SU (2), SO(2) × SU (2) internal symmetry. The Lagrangians for these theories are explicitly constructed. We also recover the theory with two Poincaré supersymmetries and SU (3) internal symmetry proposed earlier as a candidate CFT dual to super Janus. Since our new interface theories have only operators from the supergravity multiplet turned on, dual supergravity solutions are expected to exist. We speculate on the possible relation between the interface theory with maximal supersymmetry and the near-horizon limit of the D3-D5 system.

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“…The AdS/CFT correspondence [1] and some of its recent advances involving plane waves and spinning string solutions [2][3][4] have attracted attention to the investigation of anomalous dimensions in N = 4 Super Yang-Mills theory [5]. The virtue of this particular theory is that it has a conformal phase which is not spoiled by quantum effects [6].…”

Section: Introduction and Conclusionmentioning

confidence: 99%

The complete one-loop dilatation operator of super-Yang–Mills theory

2004

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We continue the analysis of hep-th/0303060 in the one-loop sector and present the complete psu(2, 2|4) dilatation operator of N = 4 Super YangMills theory. This operator generates the matrix of one-loop anomalous dimensions for all local operators in the theory. Using an oscillator representation we show how to apply the dilatation generator to a generic state. By way of example, we determine the planar anomalous dimensions of all operators up to and including dimension 5.5, where we also find some evidence for integrability. Finally, we investigate a number of subsectors of N = 4 SYM in which the dilatation operator simplifies. Among these we find the previously considered so(6) and su(2) subsectors, a su(2|4) subsector isomorphic to the BMN matrix model at one-loop, a su(2|3) supersymmetric subsector of nearly eighth-BPS states and, last but not least, a non-compact sl(2) subsector whose dilatation operator lifts uniquely to the full theory.

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Supersymmetry, Supergravity Theories and the Dual Spinor Model

Cited by 136 publications

References 28 publications

Finite temperature corrections to tachyon mass in intersecting D-branes

Finite temperature corrections to tachyon mass in intersecting D-branes

Interface Yang–Mills, supersymmetry, and Janus

The complete one-loop dilatation operator of super-Yang–Mills theory

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