Gauge group
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Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions Open
Throughout this paper, we fix an arbitrary n-dimensional compact complex manifold X with positive first Chern class cl(Xh>O.We then put f: the set of all Kahler forms on X representing 27!'c1(X)R' f+: ={w E f I w has positive definite Ricc…
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Baryons, monopoles and dualities in Chern-Simons-matter theories Open
There is significant evidence for a duality between (non-supersymmetric) U(N)\nChern-Simons theories at level k coupled to fermions, and U(k) Chern-Simons\ntheories at level N coupled to scalars. Most of the evidence comes from the\nlarge …
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Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond Open
The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack of symmetry-breaking order parameters and intrinsic topological orders. For this reason, it is impossible to formulate SPTs under Ginzburg-Landa…
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Pure gravities via color-kinematics duality for fundamental matter Open
We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure (…
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Constraints on dark photon from neutrino-electron scattering experiments Open
A possible manifestation of an additional light gauge boson $A^\\prime$, named\nas Dark Photon, associated with a group $U(1)_{\\rm B-L}$ is studied in neutrino\nelectron scattering experiments. The exclusion plot on the coupling constant\…
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Conformally soft theorem in gauge theory Open
Asymptotic particle states in four-dimensional celestial scattering amplitudes are labeled by their SL(2,C) Lorentz/conformal weights ($h, \\bar{h}$) rather than the usual energy-momentum four-vector. These boost eigenstates involve a supe…
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On the superconformal index of Argyres–Douglas theories Open
We conjecture a closed-form expression for the Schur limit of the\nsuperconformal index of two infinite series of Argyres-Douglas (AD)\nsuperconformal field theories (SCFTs): the (A_1,A_{2n-3}) and the (A_1,D_{2n})\ntheories. While these S…
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Chern-Simons-matter dualities with SO and USp gauge groups Open
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those d…
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Classification of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ gauge theories Open
We delineate a procedure to classify 6d $$ \mathcal{N}=\left(1,0\right) $$ gauge theories composed, in part, of a semi-simple gauge group and hypermultiplets. We classify these theories by requiring that satisfy some consistency conditions…
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Symmetry-enriched string nets: Exactly solvable models for SET phases Open
We construct exactly solvable models for a wide class of symmetry enriched topological (SET) phases. Our construction applies to 2D bosonic SET phases with finite unitary onsite symmetry group $G$ and we conjecture that our models realize …
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The Λ-BMS<sub>4</sub> group of dS<sub>4</sub> and new boundary conditions for AdS<sub>4</sub> Open
Using the dictionary between Bondi and Fefferman-Graham gauges, we identify the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally (A)dS4 spacetimes. We introduce th…
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Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories Open
We establish a linear relation between the a-type Weyl anomaly and the ’t Hooft anomaly coeffcients for the R-symmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, …
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Twisted gauge theory model of topological phases in three dimensions Open
We propose an exactly solvable lattice Hamiltonian model of topological\nphases in $3+1$ dimensions, based on a generic finite group $G$ and a\n$4$-cocycle $\\omega$ over $G$. We show that our model has topologically\nprotected degenerate …
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Left-right SU(4) vector leptoquark model for flavor anomalies Open
Building on our recent proposal to explain the experimental hints of new\nphysics in $B$ meson decays within the framework of Pati-Salam quark-lepton\nunification, through the interactions of the $(3,1)_{2/3}$ vector leptoquark,\nwe constr…
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Dark matter and gauge coupling unification in nonsupersymmetric SO(10) grand unified models Open
Unlike minimal SU(5), SO(10) provides a straightforward path towards gauge coupling unification by modifying the renormalization group evolution of the gauge couplings above some intermediate scale which may also be related to the seesaw m…
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Anomaly constraints on deconfinement and chiral phase transition Open
We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and (ii)…
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R(D<sup>(*)</sup>) from W' and right-handed neutrinos Open
Here we provide an ultraviolet (UV) complete model for the R(D(*)) anomalies, in which the additional contribution to semi-tauonic b → c transitions arises from decay to a right-handed sterile neutrino via exchange of a TeV-scale SU(2)L si…
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Quirky explanations for the diphoton excess Open
We propose two simple quirk models to explain the recently reported 750 GeV\ndiphoton excesses at ATLAS and CMS. It is already well-known that a real\nsinglet scalar $\\phi$ with Yukawa couplings $\\phi \\bar X X$ to vector-like\nfermions …
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Lagrangians for generalized Argyres-Douglas theories Open
We continue the study of Lagrangian descriptions of $\\mathcal{N}=2$\nArgyres-Douglas theories. We use our recent interpretation in terms of\nsequential confinement to guess the Lagrangians of all the Argyres-Douglas\nmodels with Abelian t…
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A visible QCD axion from an enlarged color group Open
We consider the possibility of an enlarged QCD color group, SU(3+$N^\prime$) spontaneously broken to SU(3)$_c\times$SU($N^\prime$) with extra vector-like quarks transforming in the fundamental representation. When the heavy quarks are inte…
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Renormalization group in super-renormalizable quantum gravity Open
One of the main advantages of super-renormalizable higher derivative quantum\ngravity models is the possibility to derive exact beta functions, by making\nperturbative one-loop calculations. We perform such a calculation for the\nNewton co…
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A new SU(2) anomaly Open
A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r + 1/2, is inconsistent.…
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Twisted gauge theories in three-dimensional Walker-Wang models Open
Three-dimensional gauge theories with a discrete gauge group can emerge from spin models as a gapped topological phase with fractional point excitations (gauge charge) and loop excitations (gauge flux). It is known that 3D gauge theories c…
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The F-theory geometry with most flux vacua Open
Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold Mmax gives rise to O(10272,000) F-theory flux vacua, and that the sum total of the numbers of flux vacua from all …
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Baryogenesis from a dark first-order phase transition Open
A bstract We present a very minimal model for baryogenesis by a dark first-order phase transition. It employs a new dark SU(2) D gauge group with two doublet Higgs bosons, two lepton doublets, and two singlets. The singlets act as a neutri…
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Eliminating fermionic matter fields in lattice gauge theories Open
We devise a unitary transformation that replaces the fermionic degrees of\nfreedom of lattice gauge theories by (hard-core) bosonic ones. The resulting\ntheory is local and gauge invariant, with the same symmetry group. The method\nworks i…
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Higher-form symmetries and their anomalies in M-/F-theory duality Open
We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations …
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Sections, multisections, and U(1) fields in F-theory Open
We show that genus-one fibrations lacking a global section fit naturally into the geometric moduli space of Weierstrass models. Elliptic fibrations with multiple sections (nontrivial Mordell-Weil rank), which give rise in F-theory to abeli…
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Gluon field digitization via group space decimation for quantum computers Open
Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this approach by deriving a single plaquette action for app…
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Double beta decay, lepton flavor violation, and collider signatures of left-right symmetric models with spontaneous-parity breaking Open
We propose a class of left-right symmetric models (LRSMs) with spontaneous D parity breaking, where SU(2)_R breaks at the TeV scale while discrete left-right symmetry breaks around 10^9 GeV. By embedding this framework in a non-supersymmet…