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Noninvertible symmetries and anomalies from gauging 1-form electric centers (2024)
Journal Article
Anber, M. M., & Chan, S. Y. L. (2024). Noninvertible symmetries and anomalies from gauging 1-form electric centers. Journal of High Energy Physics, 2024(3), Article 169. https://doi.org/10.1007/jhep03%282024%29169

We devise a general method for obtaining 0-form noninvertible discrete chiral symmetries in 4-dimensional SU(N)/ℤp and SU(N) × U(1)/ℤp gauge theories with matter in arbitrary representations, where ℤp is a subgroup of the electric 1-form center symme... Read More about Noninvertible symmetries and anomalies from gauging 1-form electric centers.

Remarks on QCD 4 with fundamental and adjoint matter (2023)
Journal Article
Anber, M. M., Lohitsiri, N., & Sulejmanpasic, T. (2023). Remarks on QCD 4 with fundamental and adjoint matter. Journal of High Energy Physics, 2023(12), Article 63. https://doi.org/10.1007/jhep12%282023%29063

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter — either bosonic or fermionic. Symmetries, their ’t Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk phases. T... Read More about Remarks on QCD 4 with fundamental and adjoint matter.

2-index chiral gauge theories (2023)
Journal Article
Anber, M. M., & Chan, S. Y. L. (2023). 2-index chiral gauge theories. Journal of High Energy Physics, 2023(10), Article 25. https://doi.org/10.1007/jhep10%282023%29025

We undertake a systematic study of the 4-dimensional SU(N) 2-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the 2-index symmetric and anti-symmetric repre... Read More about 2-index chiral gauge theories.

Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4 (2023)
Journal Article
Anber, M. M., & Poppitz, E. (in press). Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4. Journal of High Energy Physics, 2023(9), Article 95. https://doi.org/10.1007/jhep09%282023%29095

We construct analytical self-dual Yang-Mills fractional instanton solutions on a four-torus T4 with ’t Hooft twisted boundary conditions. These instantons possess topological charge Q=rN, where 1 ≤ r < N. To implement the twist, we employ SU(N) trans... Read More about Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4.

Noninvertible anomalies in SU( N ) × U(1) gauge theories (2023)
Journal Article
Anber, M. M., & Poppitz, E. (2023). Noninvertible anomalies in SU( N ) × U(1) gauge theories. Journal of High Energy Physics, 2023(8), Article 149. https://doi.org/10.1007/jhep08%282023%29149

We study 4-dimensional SU(N) × U(1) gauge theories with a single massless Dirac fermion in the 2-index symmetric/antisymmetric representations and show that they are endowed with a noninvertible 0-form ℤ~2N±2χ chiral symmetry along with a 1-form ℤN1... Read More about Noninvertible anomalies in SU( N ) × U(1) gauge theories.

New anomalies, TQFTs, and confinement in bosonic chiral gauge theories (2022)
Journal Article
Anber, M. M., Hong, S., & Son, M. (2022). New anomalies, TQFTs, and confinement in bosonic chiral gauge theories. Journal of High Energy Physics, 2022(2), Article 62. https://doi.org/10.1007/jhep02%282022%29062

We study a class of 4-dimensional SU(N) chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases. The choice N = 4ℤ corresponds to gauging the fermion number and makes the theor... Read More about New anomalies, TQFTs, and confinement in bosonic chiral gauge theories.

The gaugino condensate from asymmetric four-torus with twists (2022)
Journal Article
Anber, M. M., & Poppitz, E. (2022). The gaugino condensate from asymmetric four-torus with twists. Journal of High Energy Physics, 2023, Article 118 (2023). https://doi.org/10.1007/jhep01%282023%29118

We calculate the gaugino condensate in SU(2) super Yang-Mills theory on an asymmetric four-torus 𝕋4 with ’t Hooft’s twisted boundary conditions. The 𝕋4 asymmetry is controlled by a dimensionless detuning parameter ∆, proportional to L3L4 − L1L2, with... Read More about The gaugino condensate from asymmetric four-torus with twists.

Nonperturbative effects in the Standard Model with gauged 1-form symmetry (2021)
Journal Article
Anber, M. M., & Poppitz, E. (2021). Nonperturbative effects in the Standard Model with gauged 1-form symmetry. Journal of High Energy Physics, 2021(12), Article 55. https://doi.org/10.1007/jhep12%282021%29055

We study the Standard Model with gauged Z(1)N=2,3,6 subgroups of its Z(1)6 1-form global symmetry, making the gauge group SU(3)×SU(2)×U(1)ZN. We show that, on a finite T3, there are self-dual instantons of fractional topological charge. They mediate... Read More about Nonperturbative effects in the Standard Model with gauged 1-form symmetry.

Condensates and anomaly cascade in vector-like theories (2021)
Journal Article
Anber, M. M. (2021). Condensates and anomaly cascade in vector-like theories. Journal of High Energy Physics, 2021(3), Article 191. https://doi.org/10.1007/jhep03%282021%29191

We study the bilinear and higher-order fermion condensates in 4-dimensional SU(N) gauge theories with a single Dirac fermion in a general representation. Augmented with a mixed anomaly between the 0-form discrete chiral, 1-form center, and 0-form bar... Read More about Condensates and anomaly cascade in vector-like theories.

Natural inflation, strong dynamics, and the role of generalized anomalies (2020)
Journal Article
Anber, M. M., & Baker, S. (2020). Natural inflation, strong dynamics, and the role of generalized anomalies. Physical Review D, 102(10), Article 103515. https://doi.org/10.1103/physrevd.102.103515

We revisit models of natural inflation and show that the single-field effective theory described by the potential V ( a ) ∼ cos a f breaks down as the inflaton a makes large-field excursions, even for values of f smaller than the Planck scale. To rem... Read More about Natural inflation, strong dynamics, and the role of generalized anomalies.

Generalized ’t Hooft anomalies on non-spin manifolds (2020)
Journal Article
Anber, M. M., & Poppitz, E. (2020). Generalized ’t Hooft anomalies on non-spin manifolds. Journal of High Energy Physics, 2020(4), Article 97. https://doi.org/10.1007/jhep04%282020%29097

We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in SU(Nc) gauge theories with Nf flavors of Dirac fermions in representations ℛc of N -ality nc, formulated on non-spin manifolds. We sh... Read More about Generalized ’t Hooft anomalies on non-spin manifolds.

Deconfinement on axion domain walls (2020)
Journal Article
Anber, M. M., & Poppitz, E. (2020). Deconfinement on axion domain walls. Journal of High Energy Physics, 2020(3), Article 124. https://doi.org/10.1007/jhep03%282020%29124

We study SU(Nc) gauge theories with Dirac fermions in representations ℛ of nonzero N -ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed ’t Hooft anomaly with general baryon-color-flavor backgrounds, ca... Read More about Deconfinement on axion domain walls.

On the baryon-color-flavor (BCF) anomaly in vector-like theories (2019)
Journal Article
Anber, M. M., & Poppitz, E. (2019). On the baryon-color-flavor (BCF) anomaly in vector-like theories. Journal of High Energy Physics, 2019(11), Article 063. https://doi.org/10.1007/jhep11%282019%29063

We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries revealed by such... Read More about On the baryon-color-flavor (BCF) anomaly in vector-like theories.

Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) (2019)
Journal Article
Anber, M. M., & Poppitz, E. (2019). Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj). Journal of High Energy Physics, 2019(5), Article 151. https://doi.org/10.1007/jhep05%282019%29151

We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with nf Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1) and Dirac fermions charged under U(1) and transform... Read More about Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj).

Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls (2018)
Journal Article
Anber, M. M., & Poppitz, E. (2018). Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls. Journal of High Energy Physics, 2018(9), Article 76. https://doi.org/10.1007/jhep09%282018%29076

We study the discrete chiral- and center-symmetry ’t Hooft anomaly matching in the charge-q two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence of q vacua,... Read More about Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls.

Entanglement entropy, dualities, and deconfinement in gauge theories (2018)
Journal Article
Anber, M. M., & Kolligs, B. J. (2018). Entanglement entropy, dualities, and deconfinement in gauge theories. Journal of High Energy Physics, 2018(8), Article 175. https://doi.org/10.1007/jhep08%282018%29175

Computing the entanglement entropy in confining gauge theories is often accompanied by puzzles and ambiguities. In this work we show that compactifying the theory on a small circle S1L evades these difficulties. In particular, we study Yang-Mills the... Read More about Entanglement entropy, dualities, and deconfinement in gauge theories.

Large-scale messengers from massive higher spin fields (2018)
Journal Article
Anber, M. M. (2018). Large-scale messengers from massive higher spin fields. Journal of High Energy Physics, 2018(6), Article 154. https://doi.org/10.1007/jhep06%282018%29154

We show that nonperturbative production of massive higher spin fields from vacuum will accompany the generation of non-vanishing macroscopic energy-momentum tensor correlators. This argument is based on the general causal field formalism, which gives... Read More about Large-scale messengers from massive higher spin fields.

New nonperturbative scales and glueballs in confining supersymmetric gauge theories (2018)
Journal Article
Anber, M. M., & Poppitz, E. (2018). New nonperturbative scales and glueballs in confining supersymmetric gauge theories. Journal of High Energy Physics, 2018(3), Article 052. https://doi.org/10.1007/jhep03%282018%29052

We show that new nonperturbative scales exist in four-dimensional N = 1 super-Yang-Mills theory compactified on a circle, with an iterated-exponential dependence on the inverse gauge coupling. The lightest states with the quantum numbers of four-dime... Read More about New nonperturbative scales and glueballs in confining supersymmetric gauge theories.