16 papers found.

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We compute conformal anomalies for conformal field theories with free conformal scalars and massless spin 1/2 fields in hyperbolic space ℍ d and in the ball \( {\mathbb{B}}^d \), for 2≤d≤7. These spaces are related by a conformal transformation. In even dimensional spaces, the conformal anomalies on ℍ2n and \( {\mathbb{B}}^{2n} \) are shown to be identical. In odd dimensional...

We compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form \( {\mathbb{S}}^a \times {\mathrm{\mathbb{H}}}^b \), which are conformally related to \( {{\mathbb{S}}^a}^{+b} \). For the case of a = 1, related to the entanglement entropy across \( {{\mathbb{S}}^b...

We study \( \mathcal{N}=2 \) Chern-Simons-matter theories with gauge group \( {U}_{k_1}(1)\times {U}_{k2}(1) \). We find that, when k 1 + k 2 = 0, the partition function computed by localization dramatically simplifies and collapses to a single term. We show that the same condition prevents the theory from having supersymmetric vortex configurations. The theories include mass...

Using supersymmetric localization, we consider four-dimensional \( \mathcal{N} \) = 2 superconformal quiver gauge theories obtained from \( {\mathbb{Z}}_n \) orbifolds of \( \mathcal{N} \) = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal...

In quantum field theory, charged particles with spin ≥ 1 may become tachyonic in the present of magnetic fluxes above some critical field, signaling an instability of the vacuum. The phenomenon is generic, in particular, similar instabilities are known to exist in open and closed string theory, where a spinning string state can become tachyonic above a critical field. In...

We find a general formula for the operator mixing on the \( {\mathbb{S}}^4 \) of chiral primary operators for the \( \mathcal{N}=4 \) theory at large N in terms of Chebyshev polynomials. As an application, we compute the correlator of a chiral primary operator and a Wilson loop, reproducing an earlier result by Giombi and Pestun obtained from a two-matrix model proposal. Finally...

We compute correlation functions of chiral primary operators in \( \mathcal{N}=2 \) super-conformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on \( \mathcal{N}=4 \) SYM as well as on supercon-formal QCD. In the case of \( \mathcal{N}=4 \) we recover the free field theory results as expected due...

We exactly compute the partition function for U(2) k × U(2)− k ABJM theory on \( \mathbb{S} \) 3 deformed by mass m and Fayet-Iliopoulos parameter ζ. For k = 1, 2, the partition function has an infinite number of Lee-Yang zeros. For general k, in the decompactification limit the theory exhibits a quantum (first-order) phase transition at m = 2ζ.

The partition function of general \( \mathcal{N} \) = 2 supersymmetric SU(2) Yang-Mills theories on a four-sphere localizes to a matrix integral. We show that in the decompactification limit, and in a certain regime, the integral is dominated by a saddle point. When this takes effect, the free energy is exactly given in terms of the prepotential, F = −R 2Re(4πiℱ), evaluated at...

The phase structure of ABJM theory with mass m deformation and non-vanishing Fayet-Iliopoulos (FI) parameter, ζ, is studied through the use of localisation on \( \mathbb{S} \) 3. The partition function of the theory then reduces to a matrix integral, which, in the large N limit and at large sphere radius, is exactly computed by a saddle-point approximation. When the couplings are...

Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals. These can then be evaluated by making use of standard large N techniques, or else via perturbative expansions in the gauge coupling. Either approximation often leads to observables given in terms of...

Alejandro Barranco
1
**Jorge** **G**. **Russo**
0
1
Open Access
c The Authors. Article funded by SCOAP
0
Institucio Catalana de Recerca i Estudis Avancats (ICREA), Pg. Lluis Companys 23,
08010 Barcelona, Spain

We study new supergravity solutions related to large-N c \( \mathcal{N} = 1 \) supersymmetric gauge field theories with a large number N f of massive flavors. We use a recently proposed framework based on configurations with N c color D5 branes and a distribution of N f flavor D5 branes, governed by a function N f S(r). Although the system admits many solutions, under plausible...

We consider minimal setups arising from different truncations of \( \mathcal{N} = 8 \) five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1) × U(1) × U(1) ⊂ SO(6). These truncations only keep the three relevant vector fields, four complex scalar fields carrying U(1) charges, plus two neutral...

We demonstrate how duality invariance of the low energy expansion of the four-supergraviton amplitude in type II string theory determines the precise coefficients of multiloop logarithmic ultraviolet divergences of maximal supergravity in various dimensions. This is illustrated by the explicit moduli-dependence of terms of the form \( {\partial^{2k}}{\mathcal{R}^4} \), with k ≤ 3...

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures and critical exponents in a certain range, and perhaps impurities or boundary or thickness effects. We find analytical expressions...