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 |
|---|---|---|---|---|---|---|---|---|---|
| 48164 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6874 | 0.8556 | 0.8034 | [M:[1.0083, 0.9432, 1.1219, 0.6829, 0.7479], q:[0.5852, 0.4065], qb:[0.4716, 0.7805], phi:[0.439]] | [M:[[-32], [-22], [12], [18], [8]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 11768/12477, M3: 4666/4159, M4: 2840/4159, M5: 9332/12477, q1: 2434/4159, q2: 5072/12477, qb1: 5884/12477, qb2: 3246/4159, phi1: 1826/4159} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -1 | t^2.049 + t^2.244 + t^2.634 + t^2.83 + t^3.025 + t^3.366 + t^3.561 + t^3.756 + 2*t^4.097 + t^4.147 + 2*t^4.292 + 2*t^4.488 + t^4.683 + t^4.829 + 2*t^4.878 + 2*t^5.073 + 2*t^5.269 + t^5.414 + 2*t^5.61 + t^5.659 + t^5.805 + t^5.854 - t^6. + t^6.05 + 2*t^6.146 + t^6.195 + 2*t^6.341 + 3*t^6.39 + 2*t^6.536 + t^6.586 + 3*t^6.731 + t^6.781 + t^6.877 + 3*t^6.927 + t^7.072 + 4*t^7.122 + t^7.171 + 3*t^7.317 + 2*t^7.463 + 2*t^7.512 + 3*t^7.658 + t^7.708 + 3*t^7.853 + 3*t^7.903 - t^8.049 + 2*t^8.098 + 3*t^8.194 - t^8.244 + 2*t^8.293 + 3*t^8.39 + t^8.439 + t^8.489 + 3*t^8.585 + 2*t^8.634 + t^8.684 + 2*t^8.78 - 2*t^8.83 + t^8.879 + 2*t^8.926 + 5*t^8.975 - t^4.317/y - t^6.366/y - t^6.561/y - t^7.147/y + (2*t^7.292)/y - t^7.342/y + t^7.488/y + t^7.683/y + (2*t^7.878)/y + (3*t^8.073)/y + (2*t^8.269)/y + t^8.464/y + t^8.61/y + t^8.659/y + t^8.805/y + t^8.854/y - t^4.317*y - t^6.366*y - t^6.561*y - t^7.147*y + 2*t^7.292*y - t^7.342*y + t^7.488*y + t^7.683*y + 2*t^7.878*y + 3*t^8.073*y + 2*t^8.269*y + t^8.464*y + t^8.61*y + t^8.659*y + t^8.805*y + t^8.854*y | g1^18*t^2.049 + g1^8*t^2.244 + t^2.634/g1^12 + t^2.83/g1^22 + t^3.025/g1^32 + g1^12*t^3.366 + g1^2*t^3.561 + t^3.756/g1^8 + 2*g1^36*t^4.097 + t^4.147/g1^28 + 2*g1^26*t^4.292 + 2*g1^16*t^4.488 + g1^6*t^4.683 + g1^60*t^4.829 + (2*t^4.878)/g1^4 + (2*t^5.073)/g1^14 + (2*t^5.269)/g1^24 + g1^30*t^5.414 + 2*g1^20*t^5.61 + t^5.659/g1^44 + g1^10*t^5.805 + t^5.854/g1^54 - t^6. + t^6.05/g1^64 + 2*g1^54*t^6.146 + t^6.195/g1^10 + 2*g1^44*t^6.341 + (3*t^6.39)/g1^20 + 2*g1^34*t^6.536 + t^6.586/g1^30 + 3*g1^24*t^6.731 + t^6.781/g1^40 + g1^78*t^6.877 + 3*g1^14*t^6.927 + g1^68*t^7.072 + 4*g1^4*t^7.122 + t^7.171/g1^60 + (3*t^7.317)/g1^6 + 2*g1^48*t^7.463 + (2*t^7.512)/g1^16 + 3*g1^38*t^7.658 + t^7.708/g1^26 + 3*g1^28*t^7.853 + (3*t^7.903)/g1^36 - g1^18*t^8.049 + (2*t^8.098)/g1^46 + 3*g1^72*t^8.194 - g1^8*t^8.244 + (2*t^8.293)/g1^56 + 3*g1^62*t^8.39 + t^8.439/g1^2 + t^8.489/g1^66 + 3*g1^52*t^8.585 + (2*t^8.634)/g1^12 + t^8.684/g1^76 + 2*g1^42*t^8.78 - (2*t^8.83)/g1^22 + t^8.879/g1^86 + 2*g1^96*t^8.926 + 5*g1^32*t^8.975 - t^4.317/(g1^6*y) - (g1^12*t^6.366)/y - (g1^2*t^6.561)/y - t^7.147/(g1^28*y) + (2*g1^26*t^7.292)/y - t^7.342/(g1^38*y) + (g1^16*t^7.488)/y + (g1^6*t^7.683)/y + (2*t^7.878)/(g1^4*y) + (3*t^8.073)/(g1^14*y) + (2*t^8.269)/(g1^24*y) + t^8.464/(g1^34*y) + (g1^20*t^8.61)/y + t^8.659/(g1^44*y) + (g1^10*t^8.805)/y + t^8.854/(g1^54*y) - (t^4.317*y)/g1^6 - g1^12*t^6.366*y - g1^2*t^6.561*y - (t^7.147*y)/g1^28 + 2*g1^26*t^7.292*y - (t^7.342*y)/g1^38 + g1^16*t^7.488*y + g1^6*t^7.683*y + (2*t^7.878*y)/g1^4 + (3*t^8.073*y)/g1^14 + (2*t^8.269*y)/g1^24 + (t^8.464*y)/g1^34 + g1^20*t^8.61*y + (t^8.659*y)/g1^44 + g1^10*t^8.805*y + (t^8.854*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55909 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6683 | 0.8207 | 0.8143 | [M:[1.0032, 0.9397, 1.1238, 0.6857, 0.7492, 1.2508], q:[0.5905, 0.4063], qb:[0.4698, 0.781], phi:[0.4381]] | t^2.057 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.562 + 2*t^3.752 + 2*t^4.114 + t^4.133 + t^4.305 + t^4.495 + t^4.686 + t^4.857 + t^4.876 + t^5.067 + t^5.257 + t^5.429 + t^5.619 + t^5.638 + t^5.81 + t^5.829 - 2*t^6. - t^4.314/y - t^4.314*y | detail | {a: 29473/44100, c: 36193/44100, M1: 316/315, M2: 296/315, M3: 118/105, M4: 24/35, M5: 236/315, M6: 394/315, q1: 62/105, q2: 128/315, qb1: 148/315, qb2: 82/105, phi1: 46/105} |
| 55910 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.7031 | 0.883 | 0.7963 | [M:[1.0063, 0.9418, 1.1227, 0.684, 0.7484, 0.8129], q:[0.5873, 0.4064], qb:[0.4709, 0.7807], phi:[0.4387]] | t^2.052 + t^2.245 + t^2.439 + t^2.632 + t^2.825 + t^3.019 + t^3.368 + t^3.755 + 2*t^4.104 + t^4.141 + 2*t^4.297 + 3*t^4.491 + 2*t^4.684 + t^4.84 + 3*t^4.877 + 3*t^5.071 + 3*t^5.264 + t^5.42 + t^5.457 + t^5.613 + t^5.651 + t^5.807 + t^5.844 - t^6. - t^4.316/y - t^4.316*y | detail | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 178/189, M3: 778/693, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 37/63, q2: 845/2079, qb1: 89/189, qb2: 541/693, phi1: 304/693} |
| 55912 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7066 | 0.8907 | 0.7932 | [M:[1.0132, 0.9466, 1.1201, 0.6801, 0.7467, 0.7467], q:[0.5802, 0.4067], qb:[0.4733, 0.78], phi:[0.44]] | t^2.04 + 2*t^2.24 + t^2.64 + t^2.84 + t^3.04 + t^3.36 + t^3.56 + 2*t^4.081 + t^4.16 + 3*t^4.28 + 4*t^4.48 + t^4.68 + t^4.801 + 3*t^4.88 + 3*t^5.08 + 3*t^5.28 + t^5.4 + 3*t^5.6 + t^5.679 + t^5.8 + t^5.879 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 302420677/428009496, c: 95310743/107002374, M1: 12836/12669, M2: 11992/12669, M3: 4730/4223, M4: 2872/4223, M5: 9460/12669, M6: 9460/12669, q1: 2450/4223, q2: 5152/12669, qb1: 5996/12669, qb2: 3294/4223, phi1: 1858/4223} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46367 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail |