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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | [X:[[0, 2]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. + t^6.005 + t^6.01 + t^6.015 + t^6.486 + t^6.491 + t^6.501 + t^6.506 + t^6.962 + 2*t^6.972 + t^6.977 + 2*t^6.982 + 2*t^6.987 + 3*t^6.992 + 2*t^6.997 + t^7.002 + 2*t^7.007 + t^7.011 + t^7.016 + t^7.468 + t^7.483 + t^7.512 + t^7.527 + 2*t^7.964 + 3*t^7.974 + 4*t^7.984 + t^7.989 + 5*t^7.993 + t^7.998 + 3*t^8.003 + t^8.008 + 2*t^8.013 + t^8.018 + t^8.023 + t^8.465 + t^8.47 + t^8.48 + t^8.484 + t^8.489 + t^8.494 - t^8.519 - t^8.524 + t^8.941 + t^8.951 + t^8.961 + 2*t^8.966 + t^8.971 + 3*t^8.975 - 3*t^8.98 + 4*t^8.985 - 2*t^8.99 + 4*t^8.995 - t^4.002/y - t^5.003/y - t^6.982/y - t^6.992/y - t^7.002/y - t^7.007/y - t^7.011/y - t^7.984/y - t^7.993/y - t^8.003/y - t^8.008/y - t^8.013/y + t^8.971/y + t^8.98/y + (2*t^8.99)/y - t^4.002*y - t^5.003*y - t^6.982*y - t^6.992*y - t^7.002*y - t^7.007*y - t^7.011*y - t^7.984*y - t^7.993*y - t^8.003*y - t^8.008*y - t^8.013*y + t^8.971*y + t^8.98*y + 2*t^8.99*y | g2^12*t^2.98 + g2^6*t^2.99 + t^3. + t^3.005/g2^3 + t^3.01/g2^6 + g2^11*t^3.982 + g2^5*t^3.992 + g2^2*t^3.997 + t^4.002/g2 + t^4.011/g2^7 + g2^10*t^4.984 + g2^4*t^4.993 + t^5.003/g2^2 + t^5.013/g2^8 + (g1^3*t^5.484)/g2^13 + (g2^29*t^5.489)/g1^3 + (g2^23*t^5.499)/g1^3 + (g1^3*t^5.504)/g2^25 + g2^24*t^5.961 + g2^18*t^5.971 + g2^12*t^5.98 + g2^9*t^5.985 + g2^6*t^5.99 + g2^3*t^5.995 - 2*t^6. + t^6.005/g2^3 + t^6.01/g2^6 + t^6.015/g2^9 + (g1^3*t^6.486)/g2^14 + (g2^28*t^6.491)/g1^3 + (g2^22*t^6.501)/g1^3 + (g1^3*t^6.506)/g2^26 + g2^23*t^6.962 + 2*g2^17*t^6.972 + g2^14*t^6.977 + 2*g2^11*t^6.982 + 2*g2^8*t^6.987 + 3*g2^5*t^6.992 + 2*g2^2*t^6.997 + t^7.002/g2 + (2*t^7.007)/g2^4 + t^7.011/g2^7 + t^7.016/g2^10 + (g1^3*t^7.468)/g2^3 + (g2^33*t^7.483)/g1^3 + (g1^3*t^7.488)/g2^15 - (g2^30*t^7.488)/g1^3 - (g1^3*t^7.493)/g2^18 + (g2^27*t^7.493)/g1^3 - (g1^3*t^7.502)/g2^24 + (g2^21*t^7.502)/g1^3 + (g1^3*t^7.507)/g2^27 - (g2^18*t^7.507)/g1^3 + (g2^15*t^7.512)/g1^3 + (g1^3*t^7.527)/g2^39 + 2*g2^22*t^7.964 + 3*g2^16*t^7.974 + 4*g2^10*t^7.984 + g2^7*t^7.989 + 5*g2^4*t^7.993 + g2*t^7.998 + (3*t^8.003)/g2^2 + t^8.008/g2^5 + (2*t^8.013)/g2^8 + t^8.018/g2^11 + t^8.023/g2^14 + (g1^3*t^8.465)/g2 + (g2^41*t^8.47)/g1^3 + (g2^35*t^8.48)/g1^3 + (g1^3*t^8.484)/g2^13 + (g1^3*t^8.489)/g2^16 + (g2^26*t^8.494)/g1^3 - (g1^3*t^8.504)/g2^25 + (g2^20*t^8.504)/g1^3 + (g1^3*t^8.509)/g2^28 - (g2^17*t^8.509)/g1^3 - (g2^11*t^8.519)/g1^3 - (g1^3*t^8.524)/g2^37 + g2^36*t^8.941 + g2^30*t^8.951 + g2^24*t^8.961 + 2*g2^21*t^8.966 + g2^18*t^8.971 + 3*g2^15*t^8.975 - 3*g2^12*t^8.98 + 4*g2^9*t^8.985 - 2*g2^6*t^8.99 + 4*g2^3*t^8.995 - t^4.002/(g2*y) - t^5.003/(g2^2*y) - (g2^11*t^6.982)/y - (g2^5*t^6.992)/y - t^7.002/(g2*y) - t^7.007/(g2^4*y) - t^7.011/(g2^7*y) - (g2^10*t^7.984)/y - (g2^4*t^7.993)/y - t^8.003/(g2^2*y) - t^8.008/(g2^5*y) - t^8.013/(g2^8*y) + (g2^18*t^8.971)/y + (g2^12*t^8.98)/y + (2*g2^6*t^8.99)/y - (t^4.002*y)/g2 - (t^5.003*y)/g2^2 - g2^11*t^6.982*y - g2^5*t^6.992*y - (t^7.002*y)/g2 - (t^7.007*y)/g2^4 - (t^7.011*y)/g2^7 - g2^10*t^7.984*y - g2^4*t^7.993*y - (t^8.003*y)/g2^2 - (t^8.008*y)/g2^5 - (t^8.013*y)/g2^8 + g2^18*t^8.971*y + g2^12*t^8.98*y + 2*g2^6*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 57271 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.474 | 1.6823 | 0.8761 | [X:[1.3325], M:[0.6714], q:[0.4981, 0.5006], qb:[0.5019, 0.4968], phi:[0.3338]] | t^2.014 + t^2.984 + t^2.992 + t^3. + t^3.004 + t^3.008 + t^3.994 + t^3.997 + t^4.001 + t^4.009 + t^4.029 + t^4.987 + t^4.995 + t^4.999 + t^5.003 + t^5.006 + t^5.01 + t^5.014 + t^5.018 + t^5.022 + t^5.488 + t^5.492 + t^5.499 + t^5.503 + t^5.969 + t^5.977 + t^5.984 + t^5.988 + t^5.992 + t^5.996 - 2*t^6. - t^4.001/y - t^5.003/y - t^4.001*y - t^5.003*y | detail | |
| 57274 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.474 | 1.6826 | 0.876 | [X:[1.3323], M:[0.6693], q:[0.4977, 0.5008], qb:[0.5023, 0.4961], phi:[0.3339]] | t^2.008 + t^2.981 + t^2.991 + t^3. + t^3.005 + t^3.009 + t^3.983 + t^3.997 + t^4.002 + t^4.011 + t^4.016 + t^4.984 + t^4.989 + t^4.994 + t^4.998 + t^5.003 + t^5.008 + 2*t^5.012 + t^5.017 + t^5.485 + t^5.49 + t^5.499 + t^5.504 + t^5.963 + t^5.972 + t^5.981 + t^5.986 + 2*t^5.991 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail | |
| 57334 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4535 | 1.6425 | 0.8849 | [X:[1.3301], M:[0.9951], q:[0.4926, 0.5024], qb:[0.5074, 0.4878], phi:[0.335]] | t^2.941 + t^2.971 + t^2.985 + t^3. + t^3.029 + t^3.946 + t^3.976 + t^3.99 + t^4.005 + t^4.034 + t^4.951 + t^4.98 + t^5.01 + t^5.039 + t^5.454 + t^5.468 + t^5.497 + t^5.513 + t^5.883 + t^5.912 + t^5.927 + t^5.941 + t^5.956 + 2*t^5.971 + t^5.985 - 2*t^6. - t^4.005/y - t^5.01/y - t^4.005*y - t^5.01*y | detail | |
| 57332 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.455 | 1.6425 | 0.8858 | [X:[1.3409], M:[0.9544], q:[0.5169, 0.4941], qb:[0.4831, 0.5287], phi:[0.3295]] | t^2.863 + t^2.932 + t^2.966 + t^3. + t^3.068 + t^3.92 + t^3.989 + t^4.023 + t^4.057 + t^4.126 + t^4.909 + t^4.977 + t^5.046 + t^5.114 + t^5.473 + t^5.504 + t^5.572 + t^5.61 + t^5.726 + t^5.795 + t^5.829 + t^5.863 + t^5.897 + 2*t^5.932 + t^5.966 - 2*t^6. - t^3.989/y - t^4.977/y - t^3.989*y - t^4.977*y | detail | |
| 57335 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4541 | 1.6446 | 0.8841 | [X:[1.3279], M:[0.9838], q:[0.4878, 0.5039], qb:[0.5122, 0.4799], phi:[0.336]] | t^2.903 + 2*t^2.951 + t^3. + t^3.024 + t^3.911 + t^3.96 + t^3.984 + t^4.008 + t^4.057 + t^4.919 + t^4.968 + t^5.016 + t^5.065 + t^5.424 + t^5.447 + t^5.495 + t^5.521 + t^5.806 + 2*t^5.854 + 3*t^5.903 + t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. - t^4.008/y - t^5.016/y - t^4.008*y - t^5.016*y | detail | |
| 57333 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4535 | 1.6404 | 0.8861 | [X:[1.3366], M:[0.9901], q:[0.5074, 0.4975], qb:[0.4926, 0.5124], phi:[0.3317]] | 2*t^2.97 + t^2.985 + t^3. + t^3.059 + t^3.965 + t^3.995 + t^4.01 + t^4.025 + t^4.054 + t^4.96 + t^4.99 + t^5.02 + t^5.049 + t^5.488 + t^5.502 + t^5.532 + t^5.547 + 2*t^5.941 + 2*t^5.955 + 2*t^5.97 + t^5.985 - 3*t^6. - t^3.995/y - t^4.99/y - t^3.995*y - t^4.99*y | detail | |
| 57316 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.0452 | 1.1645 | 0.8975 | [X:[1.4545, 1.3636], q:[0.7121, 0.3485], qb:[0.2879, 1.0152], phi:[0.2727]] | t^2.455 + t^2.727 + t^3. + t^3.545 + 2*t^4.091 + t^4.364 + t^4.909 + 2*t^5.045 + 2*t^5.182 + t^5.455 + 2*t^5.591 + t^5.727 - t^6. - t^3.818/y - t^4.636/y - t^3.818*y - t^4.636*y | detail | {a: 89037/85184, c: 99201/85184, X1: 16/11, X2: 15/11, q1: 47/66, q2: 23/66, qb1: 19/66, qb2: 67/66, phi1: 3/11} |
| 57328 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4395 | 1.6243 | 0.8862 | [X:[1.3404], q:[0.5638, 0.5427], qb:[0.4362, 0.4785], phi:[0.3298]] | t^2.937 + t^2.968 + t^3. + t^3.063 + t^3.127 + t^3.926 + t^3.989 + t^4.021 + t^4.053 + t^4.116 + t^4.916 + t^4.979 + 2*t^5.042 + t^5.106 + t^5.169 + t^5.905 + 2*t^5.937 + t^5.968 - t^6. - t^3.989/y - t^4.979/y - t^3.989*y - t^4.979*y | detail | |
| 57326 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4415 | 1.6254 | 0.8869 | [X:[1.3429], q:[0.4811, 0.4524], qb:[0.5189, 0.5763], phi:[0.3286]] | t^2.914 + t^2.957 + t^3. + t^3.086 + t^3.172 + t^3.9 + t^3.986 + t^4.029 + t^4.072 + t^4.158 + t^4.885 + t^4.971 + t^5.057 + 2*t^5.143 + t^5.229 + t^5.828 + t^5.871 + t^5.914 + t^5.957 - t^6. - t^3.986/y - t^4.971/y - t^3.986*y - t^4.971*y | detail | |
| 57329 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4381 | 1.6273 | 0.8837 | [X:[1.3288], q:[0.4362, 0.4497], qb:[0.5638, 0.5368], phi:[0.3356]] | t^2.919 + t^2.959 + t^3. + t^3.02 + t^3.041 + t^3.926 + t^3.966 + t^3.986 + t^4.007 + t^4.047 + t^4.932 + 2*t^4.973 + 2*t^5.014 + t^5.054 + t^5.838 + t^5.878 + 2*t^5.919 + t^5.939 + t^5.959 + 2*t^5.98 - t^6. - t^4.007/y - t^5.014/y - t^4.007*y - t^5.014*y | detail | |
| 57318 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3198 | 1.4823 | 0.8904 | [X:[1.4], q:[0.6333, 0.4333], qb:[0.3667, 0.7667], phi:[0.3]] | t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + t^4.8 + 2*t^5.1 + 4*t^5.4 + t^5.7 + 2*t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | {a: 21117/16000, c: 23717/16000, X1: 7/5, q1: 19/30, q2: 13/30, qb1: 11/30, qb2: 23/30, phi1: 3/10} |
| 57325 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.2008 | 1.3883 | 0.8649 | [X:[1.25, 1.5], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + t^4.125 + 4*t^4.5 + 2*t^4.875 + 4*t^5.25 + 4*t^5.625 + 5*t^6. - t^4.125/y - t^5.25/y - t^4.125*y - t^5.25*y | detail | {a: 9837/8192, c: 11373/8192, X1: 5/4, X2: 3/2, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
| 57313 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.7998 | 0.8936 | 0.8951 | [X:[1.5, 1.5], q:[0.75, 0.25], qb:[0.25, 1.25], phi:[0.25]] | 2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 819/1024, c: 915/1024, X1: 3/2, X2: 3/2, q1: 3/4, q2: 1/4, qb1: 1/4, qb2: 5/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47873 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6841 | 0.8753 | [q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y | detail |