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 |
|---|---|---|---|---|---|---|---|---|---|
| 677 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6874 | 0.8556 | 0.8034 | [M:[1.0083, 1.1219, 0.9432, 0.6829, 0.7479], q:[0.7805, 0.4065], qb:[0.5852, 0.4716], phi:[0.439]] | [M:[[32], [-12], [22], [-18], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 4666/4159, M3: 11768/12477, M4: 2840/4159, M5: 9332/12477, q1: 3246/4159, q2: 5072/12477, qb1: 2434/4159, qb2: 5884/12477, phi1: 1826/4159} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$ | ${}$ | -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 | t^2.049/g1^18 + t^2.244/g1^8 + g1^12*t^2.634 + g1^22*t^2.83 + g1^32*t^3.025 + t^3.366/g1^12 + t^3.561/g1^2 + g1^8*t^3.756 + (2*t^4.097)/g1^36 + g1^28*t^4.147 + (2*t^4.292)/g1^26 + (2*t^4.488)/g1^16 + t^4.683/g1^6 + t^4.829/g1^60 + 2*g1^4*t^4.878 + 2*g1^14*t^5.073 + 2*g1^24*t^5.269 + t^5.414/g1^30 + (2*t^5.61)/g1^20 + g1^44*t^5.659 + t^5.805/g1^10 + g1^54*t^5.854 - t^6. + g1^64*t^6.05 + (2*t^6.146)/g1^54 + g1^10*t^6.195 + (2*t^6.341)/g1^44 + 3*g1^20*t^6.39 + (2*t^6.536)/g1^34 + g1^30*t^6.586 + (3*t^6.731)/g1^24 + g1^40*t^6.781 + t^6.877/g1^78 + (3*t^6.927)/g1^14 + t^7.072/g1^68 + (4*t^7.122)/g1^4 + g1^60*t^7.171 + 3*g1^6*t^7.317 + (2*t^7.463)/g1^48 + 2*g1^16*t^7.512 + (3*t^7.658)/g1^38 + g1^26*t^7.708 + (3*t^7.853)/g1^28 + 3*g1^36*t^7.903 - t^8.049/g1^18 + 2*g1^46*t^8.098 + (3*t^8.194)/g1^72 - t^8.244/g1^8 + 2*g1^56*t^8.293 + (3*t^8.39)/g1^62 + g1^2*t^8.439 + g1^66*t^8.489 + (3*t^8.585)/g1^52 + 2*g1^12*t^8.634 + g1^76*t^8.684 + (2*t^8.78)/g1^42 - 2*g1^22*t^8.83 + g1^86*t^8.879 + (2*t^8.926)/g1^96 + (5*t^8.975)/g1^32 - (g1^6*t^4.317)/y - t^6.366/(g1^12*y) - t^6.561/(g1^2*y) - (g1^28*t^7.147)/y + (2*t^7.292)/(g1^26*y) - (g1^38*t^7.342)/y + t^7.488/(g1^16*y) + t^7.683/(g1^6*y) + (2*g1^4*t^7.878)/y + (3*g1^14*t^8.073)/y + (2*g1^24*t^8.269)/y + (g1^34*t^8.464)/y + t^8.61/(g1^20*y) + (g1^44*t^8.659)/y + t^8.805/(g1^10*y) + (g1^54*t^8.854)/y - g1^6*t^4.317*y - (t^6.366*y)/g1^12 - (t^6.561*y)/g1^2 - g1^28*t^7.147*y + (2*t^7.292*y)/g1^26 - g1^38*t^7.342*y + (t^7.488*y)/g1^16 + (t^7.683*y)/g1^6 + 2*g1^4*t^7.878*y + 3*g1^14*t^8.073*y + 2*g1^24*t^8.269*y + g1^34*t^8.464*y + (t^8.61*y)/g1^20 + g1^44*t^8.659*y + (t^8.805*y)/g1^10 + g1^54*t^8.854*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1088 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6683 | 0.8207 | 0.8143 | [M:[1.0032, 1.1238, 0.9397, 0.6857, 0.7492, 1.2508], q:[0.781, 0.4063], qb:[0.5905, 0.4698], 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: 118/105, M3: 296/315, M4: 24/35, M5: 236/315, M6: 394/315, q1: 82/105, q2: 128/315, qb1: 62/105, qb2: 148/315, phi1: 46/105} |
| 1089 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7031 | 0.883 | 0.7963 | [M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], 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: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 415 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], 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 |