Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
283 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6689 | 0.8351 | 0.801 | [M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | [M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [-1, -3, 0], [0, -5, 1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. + t^6.024 + t^6.22 + 2*t^6.232 + 3*t^6.244 + 4*t^6.256 + t^6.268 + 2*t^6.28 + 3*t^6.293 + t^6.317 + 2*t^6.329 + t^6.365 + 2*t^6.744 + 2*t^6.756 + t^7. + 2*t^7.012 + 3*t^7.025 - t^7.049 + t^7.097 + 3*t^7.781 + 4*t^7.793 + t^7.805 - 2*t^7.817 + 2*t^8.037 + 5*t^8.049 + 6*t^8.061 - t^8.073 - 6*t^8.085 + t^8.098 - 3*t^8.122 + t^8.146 + t^8.293 + 2*t^8.305 + 3*t^8.317 + 4*t^8.33 + 6*t^8.342 + 2*t^8.354 + 3*t^8.366 + 4*t^8.378 + t^8.39 + 2*t^8.402 + 3*t^8.414 + t^8.438 + 2*t^8.451 + t^8.487 + t^8.561 + 2*t^8.817 + 4*t^8.83 + 2*t^8.842 - 3*t^8.854 - 2*t^8.866 - t^4.049/y - t^6.122/y - (2*t^6.134)/y - t^6.17/y + (2*t^7.159)/y + t^7.171/y + t^7.195/y + (2*t^7.207)/y + (2*t^7.927)/y + (2*t^7.939)/y + (2*t^7.963)/y + (2*t^7.975)/y - t^8.195/y - (2*t^8.207)/y - (3*t^8.22)/y - t^8.244/y - (2*t^8.256)/y - t^8.292/y + (2*t^8.964)/y + (6*t^8.976)/y + (4*t^8.988)/y - t^4.049*y - t^6.122*y - 2*t^6.134*y - t^6.17*y + 2*t^7.159*y + t^7.171*y + t^7.195*y + 2*t^7.207*y + 2*t^7.927*y + 2*t^7.939*y + 2*t^7.963*y + 2*t^7.975*y - t^8.195*y - 2*t^8.207*y - 3*t^8.22*y - t^8.244*y - 2*t^8.256*y - t^8.292*y + 2*t^8.964*y + 6*t^8.976*y + 4*t^8.988*y | (g3*t^2.073)/g2^5 + t^2.085/(g1*g2^3) + (g1*t^2.085)/(g2^4*g3) + (g2*t^2.122)/g3^5 + g2^3*g3^3*t^2.854 + g1*g3^3*t^3.89 + (g2*g3^4*t^3.89)/g1 + 2*g2^2*g3^2*t^3.902 + (g3^2*t^4.147)/g2^10 + (g1*t^4.159)/g2^9 + (g3*t^4.159)/(g1*g2^8) + t^4.171/(g1^2*g2^6) + (g1^2*t^4.171)/(g2^8*g3^2) + t^4.171/(g2^7*g3) + t^4.195/(g2^4*g3^4) + (g1*t^4.207)/(g2^3*g3^6) + t^4.207/(g1*g2^2*g3^5) + (g2^2*t^4.243)/g3^10 + (g3^4*t^4.927)/g2^2 + (g1*g3^2*t^4.939)/g2 + (g3^3*t^4.939)/g1 + g2*g3*t^4.951 + (g2^4*t^4.975)/g3^2 + g2^6*g3^6*t^5.707 + (g1*g3^4*t^5.964)/g2^5 + (g3^5*t^5.964)/(g1*g2^4) + (g1^2*g3^2*t^5.976)/g2^4 + (3*g3^3*t^5.976)/g2^3 + (g3^4*t^5.976)/(g1^2*g2^2) + (g1*g3*t^5.988)/g2^2 + (g3^2*t^5.988)/(g1*g2) - 3*t^6. + (g2^3*t^6.024)/g3^3 + (g3^3*t^6.22)/g2^15 + (g1*g3*t^6.232)/g2^14 + (g3^2*t^6.232)/(g1*g2^13) + t^6.244/g2^12 + (g1^2*t^6.244)/(g2^13*g3) + (g3*t^6.244)/(g1^2*g2^11) + t^6.256/(g1^3*g2^9) + (g1^3*t^6.256)/(g2^12*g3^3) + (g1*t^6.256)/(g2^11*g3^2) + t^6.256/(g1*g2^10*g3) + t^6.268/(g2^9*g3^3) + (g1*t^6.28)/(g2^8*g3^5) + t^6.28/(g1*g2^7*g3^4) + (g1^2*t^6.293)/(g2^7*g3^7) + t^6.293/(g2^6*g3^6) + t^6.293/(g1^2*g2^5*g3^5) + t^6.317/(g2^3*g3^9) + (g1*t^6.329)/(g2^2*g3^11) + t^6.329/(g1*g2*g3^10) + (g2^3*t^6.365)/g3^15 + g1*g2^3*g3^6*t^6.744 + (g2^4*g3^7*t^6.744)/g1 + 2*g2^5*g3^5*t^6.756 + (g3^5*t^7.)/g2^7 + (g1*g3^3*t^7.012)/g2^6 + (g3^4*t^7.012)/(g1*g2^5) + (g1^2*g3*t^7.025)/g2^5 + (g3^2*t^7.025)/g2^4 + (g3^3*t^7.025)/(g1^2*g2^3) - t^7.049/(g2*g3) + (g2^5*t^7.097)/g3^7 + g1^2*g3^6*t^7.781 + g2*g3^7*t^7.781 + (g2^2*g3^8*t^7.781)/g1^2 + 2*g1*g2^2*g3^5*t^7.793 + (2*g2^3*g3^6*t^7.793)/g1 + g2^4*g3^4*t^7.805 - g1*g2^5*g3^2*t^7.817 - (g2^6*g3^3*t^7.817)/g1 + (g1*g3^5*t^8.037)/g2^10 + (g3^6*t^8.037)/(g1*g2^9) + (g1^2*g3^3*t^8.049)/g2^9 + (3*g3^4*t^8.049)/g2^8 + (g3^5*t^8.049)/(g1^2*g2^7) + (g1^3*g3*t^8.061)/g2^8 + (2*g1*g3^2*t^8.061)/g2^7 + (2*g3^3*t^8.061)/(g1*g2^6) + (g3^4*t^8.061)/(g1^3*g2^5) + (g1^2*t^8.073)/g2^6 - (3*g3*t^8.073)/g2^5 + (g3^2*t^8.073)/(g1^2*g2^4) - (3*t^8.085)/(g1*g2^3) - (3*g1*t^8.085)/(g2^4*g3) + t^8.098/(g2^2*g3^2) - (3*g2*t^8.122)/g3^5 + (g2^4*t^8.146)/g3^8 + (g3^4*t^8.293)/g2^20 + (g1*g3^2*t^8.305)/g2^19 + (g3^3*t^8.305)/(g1*g2^18) + (g1^2*t^8.317)/g2^18 + (g3*t^8.317)/g2^17 + (g3^2*t^8.317)/(g1^2*g2^16) + t^8.33/(g1*g2^15) + (g1^3*t^8.33)/(g2^17*g3^2) + (g1*t^8.33)/(g2^16*g3) + (g3*t^8.33)/(g1^3*g2^14) + t^8.342/(g1^4*g2^12) + (g1^4*t^8.342)/(g2^16*g3^4) + (g1^2*t^8.342)/(g2^15*g3^3) + (2*t^8.342)/(g2^14*g3^2) + t^8.342/(g1^2*g2^13*g3) + (g1*t^8.354)/(g2^13*g3^4) + t^8.354/(g1*g2^12*g3^3) + (g1^2*t^8.366)/(g2^12*g3^6) + t^8.366/(g2^11*g3^5) + t^8.366/(g1^2*g2^10*g3^4) + (g1^3*t^8.378)/(g2^11*g3^8) + (g1*t^8.378)/(g2^10*g3^7) + t^8.378/(g1*g2^9*g3^6) + t^8.378/(g1^3*g2^8*g3^5) + t^8.39/(g2^8*g3^8) + (g1*t^8.402)/(g2^7*g3^10) + t^8.402/(g1*g2^6*g3^9) + (g1^2*t^8.414)/(g2^6*g3^12) + t^8.414/(g2^5*g3^11) + t^8.414/(g1^2*g2^4*g3^10) + t^8.438/(g2^2*g3^14) + (g1*t^8.451)/(g2*g3^16) + t^8.451/(g1*g3^15) + (g2^4*t^8.487)/g3^20 + g2^9*g3^9*t^8.561 + (g1*g3^7*t^8.817)/g2^2 + (g3^8*t^8.817)/(g1*g2) + (g1^2*g3^5*t^8.83)/g2 + 2*g3^6*t^8.83 + (g2*g3^7*t^8.83)/g1^2 + g1*g2*g3^4*t^8.842 + (g2^2*g3^5*t^8.842)/g1 - 3*g2^3*g3^3*t^8.854 - g1*g2^4*g3*t^8.866 - (g2^5*g3^2*t^8.866)/g1 - t^4.049/(g2*g3*y) - t^6.122/(g2^6*y) - (g1*t^6.134)/(g2^5*g3^2*y) - t^6.134/(g1*g2^4*g3*y) - t^6.17/(g3^6*y) + (g1*t^7.159)/(g2^9*y) + (g3*t^7.159)/(g1*g2^8*y) + t^7.171/(g2^7*g3*y) + t^7.195/(g2^4*g3^4*y) + (g1*t^7.207)/(g2^3*g3^6*y) + t^7.207/(g1*g2^2*g3^5*y) + (2*g3^4*t^7.927)/(g2^2*y) + (g1*g3^2*t^7.939)/(g2*y) + (g3^3*t^7.939)/(g1*y) + (g2^3*t^7.963)/(g1*y) + (g1*g2^2*t^7.963)/(g3*y) + (2*g2^4*t^7.975)/(g3^2*y) - (g3*t^8.195)/(g2^11*y) - t^8.207/(g1*g2^9*y) - (g1*t^8.207)/(g2^10*g3*y) - (g1^2*t^8.22)/(g2^9*g3^3*y) - t^8.22/(g2^8*g3^2*y) - t^8.22/(g1^2*g2^7*g3*y) - t^8.244/(g2^5*g3^5*y) - (g1*t^8.256)/(g2^4*g3^7*y) - t^8.256/(g1*g2^3*g3^6*y) - (g2*t^8.292)/(g3^11*y) + (g1*g3^4*t^8.964)/(g2^5*y) + (g3^5*t^8.964)/(g1*g2^4*y) + (g1^2*g3^2*t^8.976)/(g2^4*y) + (4*g3^3*t^8.976)/(g2^3*y) + (g3^4*t^8.976)/(g1^2*g2^2*y) + (2*g1*g3*t^8.988)/(g2^2*y) + (2*g3^2*t^8.988)/(g1*g2*y) - (t^4.049*y)/(g2*g3) - (t^6.122*y)/g2^6 - (g1*t^6.134*y)/(g2^5*g3^2) - (t^6.134*y)/(g1*g2^4*g3) - (t^6.17*y)/g3^6 + (g1*t^7.159*y)/g2^9 + (g3*t^7.159*y)/(g1*g2^8) + (t^7.171*y)/(g2^7*g3) + (t^7.195*y)/(g2^4*g3^4) + (g1*t^7.207*y)/(g2^3*g3^6) + (t^7.207*y)/(g1*g2^2*g3^5) + (2*g3^4*t^7.927*y)/g2^2 + (g1*g3^2*t^7.939*y)/g2 + (g3^3*t^7.939*y)/g1 + (g2^3*t^7.963*y)/g1 + (g1*g2^2*t^7.963*y)/g3 + (2*g2^4*t^7.975*y)/g3^2 - (g3*t^8.195*y)/g2^11 - (t^8.207*y)/(g1*g2^9) - (g1*t^8.207*y)/(g2^10*g3) - (g1^2*t^8.22*y)/(g2^9*g3^3) - (t^8.22*y)/(g2^8*g3^2) - (t^8.22*y)/(g1^2*g2^7*g3) - (t^8.244*y)/(g2^5*g3^5) - (g1*t^8.256*y)/(g2^4*g3^7) - (t^8.256*y)/(g1*g2^3*g3^6) - (g2*t^8.292*y)/g3^11 + (g1*g3^4*t^8.964*y)/g2^5 + (g3^5*t^8.964*y)/(g1*g2^4) + (g1^2*g3^2*t^8.976*y)/g2^4 + (4*g3^3*t^8.976*y)/g2^3 + (g3^4*t^8.976*y)/(g1^2*g2^2) + (2*g1*g3*t^8.988*y)/g2^2 + (2*g3^2*t^8.988*y)/(g1*g2) |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
457 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6689 | 0.835 | 0.8011 | [M:[0.699, 1.301, 0.7054, 0.6926, 0.6926], q:[0.8221, 0.8284], qb:[0.479, 0.4726], phi:[0.3495]] | 2*t^2.078 + t^2.097 + t^2.116 + t^2.855 + t^3.884 + 3*t^3.903 + 3*t^4.156 + 2*t^4.175 + 3*t^4.194 + t^4.213 + t^4.232 + 2*t^4.932 + 2*t^4.952 + t^4.971 + t^5.709 + 2*t^5.962 + 5*t^5.981 - t^6. - t^4.048/y - t^4.048*y | detail | |
458 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6489 | 0.7994 | 0.8117 | [M:[0.6959, 1.2905, 0.7366, 0.6959, 0.6824, 1.2634], q:[0.8226, 0.8226], qb:[0.4814, 0.4543], phi:[0.3548]] | t^2.047 + 2*t^2.088 + t^2.807 + t^3.79 + 2*t^3.831 + 2*t^3.871 + t^4.094 + 2*t^4.135 + 3*t^4.176 + t^4.854 + 2*t^4.895 + t^4.936 + t^5.614 + t^5.837 + 4*t^5.878 + 5*t^5.919 + 2*t^5.959 - 3*t^6. - t^4.064/y - t^4.064*y | detail | |
456 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}X_{1}$ | 0.5801 | 0.7001 | 0.8285 | [X:[1.4633], M:[0.8842, 1.2317, 0.5367, 0.8842, 1.0], q:[0.8079, 0.8079], qb:[0.3079, 0.5396], phi:[0.3842]] | t^2.542 + 2*t^2.653 + t^3. + 2*t^3.695 + 2*t^4.042 + t^4.39 + t^4.847 + t^5.085 + 2*t^5.195 + 2*t^5.305 + t^5.542 - 2*t^6. - t^4.153/y - t^4.153*y | detail | |
1764 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6895 | 0.8748 | 0.7882 | [M:[0.6997, 1.3043, 0.6997, 0.6875, 0.6916, 0.6916], q:[0.82, 0.8322], qb:[0.4803, 0.4762], phi:[0.3478]] | t^2.063 + 2*t^2.075 + 2*t^2.099 + t^2.87 + t^3.889 + 2*t^3.913 + t^4.125 + 2*t^4.137 + 3*t^4.149 + 2*t^4.162 + 4*t^4.174 + 3*t^4.198 + t^4.932 + 2*t^4.944 + t^4.957 + 2*t^4.969 + t^5.739 + t^5.951 + 2*t^5.963 + t^5.976 + 4*t^5.988 - 3*t^6. - t^4.043/y - t^4.043*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
180 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6484 | 0.7953 | 0.8152 | [M:[0.7026, 1.2974, 0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]] | 3*t^2.108 + t^2.839 + 5*t^3.892 + 6*t^4.215 + 4*t^4.946 + t^5.677 + 6*t^6. - t^4.054/y - t^4.054*y | detail |