Aspects of a noncommutative scalar/tensor duality

Abstract

We study the noncommutative massless Kalb-Ramond gauge field coupled to a dynamical U (1) gauge field in the adjoint representation together with a compensating vector field. We derive the Seiberg-Witten map and obtain the corresponding mapped action to first order in θ. The (emergent) gravity structure found in other situations is not present here. The off-shell dual scalar theory is derived and it does not coincide with the Seiberg-Witten mapped scalar theory. Dispersion relations are also discussed. The p-form generalization of the Seiberg-Witten map to order θ is also derived.

Search for gravitational waves from intermediate mass binary black holes

“…As the total mass of the system increases, the analytical PN inspiral waveforms become inadequate because only the merger and ringdown waves have significant power in the sensitive band of the detectors. For this reason, this search (and a template search for binary black holes with the total mass between 25 and 100 M [18]) uses the full IMR waveforms from two different families: the Effective One Body Numerical Relativity (EOBNR) family [9,10,12,51] and the IMRPhenom family [11,52,53]. The EOBNR waveform family uses the Effective One Body (EOB) Hamiltonian to evolve the binary system up to the merger.…”

“…The merger and ringdown stages of the GW signal are important for detection of IMBH sources because the characteristic frequencies of the inspiral stage are usually outside of the sensitivity band of ground-based GW interferometers. Recent progress in numerical relativity (NR) has expanded the understanding of binary black hole systems through the merger and ringdown stages [9][10][11][12][13][14] allowing calculation of the full inspiral-merger-ringdown (IMR) waveforms.…”

Accurate inspiral-merger-ringdown gravitational waveforms for nonspinning black-hole binaries including the effect of subdominant modes

“…These waveforms are constructed by combining perturbative calculations in GR with numerical-relativity (NR) waveforms in the "phenomenological" approach presented in a series of papers [20][21][22][23][24][25][40][41][42]. This frequency domain, closed form waveform family has excellent agreement (faithfulness >0.99) with "target" waveforms, including subdominant modes, for binaries with mass ratio up to 10.…”

“…Theoretical templates describing the gravitational waveforms from the inspiral, merger, and ringdown of binary black holes have been computed in recent years by combining perturbative calculations in GR with large-scale numerical relativity simulations [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Most of these waveform families aim to model only the leading (quadrupole; l ¼ 2; m ¼ AE2) modes of the gravitational radiation.…”

A scientific case study of an advanced LISA mission

“…The confusion level in figure 1 will be adopted in all calculations that follow. Both the PN waveform and phenomenological hybrid waveform [21,22] will be used, with the latter further incorporating the phases of merger and ringdown. As we shall see in a moment, by comparing the SNRs calculated using two different waveforms, we will be able to assess how the three stages of an intermediate mass binary coalescence contribute to the overall SNR.…”