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We study a non-relativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z = 2. With a natural boundary condition, respecting the symmetries of the model, the resultant…

High Energy Physics - Theory · Physics 2013-05-30 Mohsen Alishahiha , M. Reza Mohammadi Mozaffar , Ali Mollabashi

We discuss the semiclassical scattering problem for massless matter coupled to Rarita-Schwinger field in four dimensional Minkowski space. We rewrite the soft gravitino theorem as a Ward identity for the S-matrix and discuss the…

High Energy Physics - Theory · Physics 2015-12-10 Vyacheslav Lysov

By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained.…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (AdS$_2$) is invalid if we use the standard normalizable functional basis due to its incompatibility with supersymmetry. We cure this problem by…

High Energy Physics - Theory · Physics 2023-09-18 Alfredo González Lezcano , Imtak Jeon , Augniva Ray

We construct an ambitwistor string that describes Type II supergravity on AdS$_3\times$S$^3$ with pure NS flux. The background Einstein equations ensure that the model is anomaly free. The spectrum consists of supergravity fluctuations…

High Energy Physics - Theory · Physics 2020-07-15 Kai Roehrig , David Skinner

We study the classification problem for anomaly-free 6D $\mathcal N=(1,0)$ supergravities with a gauged abelian R-symmetry and one tensor multiplet. We present eleven new models with gauge group $G_{\mathrm{non-Abelian}}\times U(1)_R$ that…

High Energy Physics - Theory · Physics 2026-05-19 Katrin Becker , Qi You

The N=4 gauged SU(2)$\times$SU(1,1) supergravity in four-dimensional Euclidean space is obtained via a consistent dimensional reduction of the N=1, D=10 supergravity on $S^3\times AdS_3$. The dilaton potential in the theory is proportional…

High Energy Physics - Theory · Physics 2015-06-26 Mikhail S. Volkov

We study the charge and current response functions $P$ and $\Pi$ in a semi-infinite metal block using the electron surface Green's functions. The surface electrons behave similarly to a two-dimensional Fermi gas but are strongly damped due…

Mesoscale and Nanoscale Physics · Physics 2025-06-05 Jian-Sheng Wang

We investigate the spectral function of fermions in a $p$-wave superconducting state, at finite both temperature and gravitational coupling, using the $AdS/CFT$ correspondence and extending previous research. We found that, for any coupling…

High Energy Physics - Theory · Physics 2017-10-10 G. L. Giordano , N. E. Grandi , A. R. Lugo

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N Kazama-Suzuki model. There is now strong evidence supporting this proposal based on…

High Energy Physics - Theory · Physics 2015-06-12 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

We construct a series of charged dilatonic black holes which share zero entropy in the zero temperature limit using Einstein-Maxwell-Dilaton theories. In these black holes, the wave functions and the Green's functions of massless fermions…

High Energy Physics - Theory · Physics 2014-12-16 Zhong-Ying Fan

Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region which is AdS_2 x R^{d-1}. The scale invariance of the AdS_2 region implies that at low energies the dual field theory exhibits…

High Energy Physics - Theory · Physics 2011-11-01 Thomas Faulkner , Hong Liu , John McGreevy , David Vegh

We use holographic renormalization of minimal $\mathcal{N}=2$ gauged supergravity in order to derive the general form of the quantum Ward identities for 3d $\mathcal{N}=2$ and 4d $\mathcal{N}=1$ superconformal theories on general curved…

High Energy Physics - Theory · Physics 2017-08-02 Ioannis Papadimitriou

Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this paper, we study five-dimensional Chern-Simons AdS supergravity…

High Energy Physics - Theory · Physics 2008-11-26 Richard S. Garavuso , Francesco Toppan

We study non-supersymmetric fermion mass and condensate deformations of the AdS/CFT Correspondence. The 5 dimensional supergravity flows are lifted to a complete and remarkably simple 10 dimensional background. A brane probe analysis shows…

High Energy Physics - Theory · Physics 2009-11-07 James Babington , David E. Crooks , Nick Evans

We investigate a 6d Dirac fermion on a rectangle. It is found that the 4d spectrum is governed by $N=2$ supersymmetric quantum mechanics. Then we demonstrate that the supersymmetry is very useful for classifying all the allowed boundary…

High Energy Physics - Theory · Physics 2017-07-25 Yukihiro Fujimoto , Kouhei Hasegawa , Kenji Nishiwaki , Makoto Sakamoto , Kentaro Tatsumi

We consider the planar local patch approximation of $d=2$ fermions at finite density coupled to a critical boson. In the quenched or Bloch-Nordsieck approximation, where one takes the limit of fermion flavors $N_f\rightarrow 0$, the fermion…

Strongly Correlated Electrons · Physics 2016-09-21 Balazs Meszena , Petter Säterskog , Andrey Bagrov , Koenraad Schalm

We show that there exists an infinite tower of fermionic symmetries in pure $d=4$, $\mathcal{N}=1$ supergravity on an asymptotically flat background. The Ward identities associated with these symmetries are equivalent to the soft limit of…

High Energy Physics - Theory · Physics 2016-05-04 Steven G. Avery , Burkhard U. W. Schwab

We discuss a 1+2 dimensional model with unconventional supersymmetry at the boundary of an AdS${}_4$, \,$\mathcal{N}$-extended supergravity. The resulting features of the supersymmetric boundary open the possibility of describing the…

High Energy Physics - Theory · Physics 2022-09-21 Antonio Gallerati