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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | [q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. + 4*t^6.016 + t^6.033 + t^6.47 + 2*t^6.486 + t^6.503 + 4*t^6.94 + 7*t^6.973 + 6*t^6.989 - t^7.005 + 6*t^7.022 + t^7.443 - t^7.475 + 2*t^7.476 + 4*t^7.492 + t^7.508 + t^7.541 + 10*t^7.946 - 2*t^7.962 + 13*t^7.978 + 4*t^7.995 + 6*t^8.027 + 2*t^8.432 + 4*t^8.448 + 2*t^8.465 + 2*t^8.481 + 2*t^8.497 - 4*t^8.513 + 2*t^8.514 - 2*t^8.53 + 4*t^8.902 + 4*t^8.935 + 11*t^8.951 - 10*t^8.967 + 17*t^8.984 - t^4.005/y - t^5.011/y - t^6.016/y - (2*t^6.973)/y - (2*t^7.005)/y - (2*t^7.022)/y + t^7.995/y - t^8.027/y + t^8.935/y + (4*t^8.967)/y - t^4.005*y - t^5.011*y - t^6.016*y - 2*t^6.973*y - 2*t^7.005*y - 2*t^7.022*y + t^7.995*y - t^8.027*y + t^8.935*y + 4*t^8.967*y | (g2^2*t^2.011)/g3^2 + g1*g3^6*t^2.967 + (g3^6*t^2.967)/(g1*g2^12) + t^3./(g1*g2^6) + g1*g2^6*t^3. + (g2^3*t^3.016)/g3^3 + (g3^5*t^3.973)/(g1*g2^11) + g1*g2*g3^5*t^3.973 + t^4.005/(g1*g2^5*g3) + (g1*g2^7*t^4.005)/g3 + (g2^4*t^4.022)/g3^4 + (2*g3^4*t^4.978)/(g1*g2^10) + 2*g1*g2^2*g3^4*t^4.978 + (2*t^5.011)/(g1*g2^4*g3^2) + (2*g1*g2^8*t^5.011)/g3^2 + (g2^5*t^5.027)/g3^5 + g2^7*g3^11*t^5.465 + t^5.481/(g1*g2^23*g3) + (g1*t^5.481)/(g2^11*g3) + g2^13*g3^5*t^5.497 + g1^2*g3^12*t^5.935 + (g3^12*t^5.935)/(g1^2*g2^24) + (g3^12*t^5.935)/g2^12 + (g3^6*t^5.967)/(g1^2*g2^18) + (g3^6*t^5.967)/g2^6 + g1^2*g2^6*g3^6*t^5.967 + (2*g3^3*t^5.984)/(g1*g2^9) + 2*g1*g2^3*g3^3*t^5.984 - 3*t^6. + (2*t^6.016)/(g1*g2^3*g3^3) + (2*g1*g2^9*t^6.016)/g3^3 + (g2^6*t^6.033)/g3^6 + g2^8*g3^10*t^6.47 + t^6.486/(g1*g2^22*g3^2) + (g1*t^6.486)/(g2^10*g3^2) + g2^14*g3^4*t^6.503 + (g3^11*t^6.94)/(g1^2*g2^23) + (2*g3^11*t^6.94)/g2^11 + g1^2*g2*g3^11*t^6.94 + (2*g3^5*t^6.973)/(g1^2*g2^17) + (3*g3^5*t^6.973)/g2^5 + 2*g1^2*g2^7*g3^5*t^6.973 + (3*g3^2*t^6.989)/(g1*g2^8) + 3*g1*g2^4*g3^2*t^6.989 - (g2*t^7.005)/g3 + (3*t^7.022)/(g1*g2^2*g3^4) + (3*g1*g2^10*t^7.022)/g3^4 + g2^3*g3^15*t^7.443 - t^7.475/g2^18 + 2*g2^9*g3^9*t^7.476 + t^7.492/(g1^3*g2^33*g3^3) + (2*t^7.492)/(g1*g2^21*g3^3) + (2*g1*t^7.492)/(g2^9*g3^3) + (g1^3*g2^3*t^7.492)/g3^3 - (g2^6*g3^6*t^7.492)/g1 - g1*g2^18*g3^6*t^7.492 - t^7.508/(g2^12*g3^6) + 2*g2^15*g3^3*t^7.508 + (g2^21*t^7.541)/g3^3 + (3*g3^10*t^7.946)/(g1^2*g2^22) + (4*g3^10*t^7.946)/g2^10 + 3*g1^2*g2^2*g3^10*t^7.946 - (g3^7*t^7.962)/(g1*g2^13) - (g1*g3^7*t^7.962)/g2 + (4*g3^4*t^7.978)/(g1^2*g2^16) + (5*g3^4*t^7.978)/g2^4 + 4*g1^2*g2^8*g3^4*t^7.978 + (2*g3*t^7.995)/(g1*g2^7) + 2*g1*g2^5*g3*t^7.995 + t^8.011/(g1^2*g2^10*g3^2) - (2*g2^2*t^8.011)/g3^2 + (g1^2*g2^14*t^8.011)/g3^2 + (3*t^8.027)/(g1*g2*g3^5) + (3*g1*g2^11*t^8.027)/g3^5 + (g3^17*t^8.432)/(g1*g2^5) + g1*g2^7*g3^17*t^8.432 + (g3^5*t^8.448)/(g1^2*g2^35) + (2*g3^5*t^8.448)/g2^23 + (g1^2*g3^5*t^8.448)/g2^11 + (g2*g3^11*t^8.465)/g1 + g1*g2^13*g3^11*t^8.465 + 2*g2^10*g3^8*t^8.481 + (2*t^8.497)/(g1*g2^20*g3^4) + (2*g1*t^8.497)/(g2^8*g3^4) - (g2^7*g3^5*t^8.497)/g1 - g1*g2^19*g3^5*t^8.497 - t^8.513/(g1^2*g2^23*g3^7) - (2*t^8.513)/(g2^11*g3^7) - (g1^2*g2*t^8.513)/g3^7 + 2*g2^16*g3^2*t^8.514 - (g2^13*t^8.53)/(g1*g3) - (g1*g2^25*t^8.53)/g3 + g1^3*g3^18*t^8.902 + (g3^18*t^8.902)/(g1^3*g2^36) + (g3^18*t^8.902)/(g1*g2^24) + (g1*g3^18*t^8.902)/g2^12 + (g3^12*t^8.935)/(g1^3*g2^30) + (g3^12*t^8.935)/(g1*g2^18) + (g1*g3^12*t^8.935)/g2^6 + g1^3*g2^6*g3^12*t^8.935 + (3*g3^9*t^8.951)/(g1^2*g2^21) + (5*g3^9*t^8.951)/g2^9 + 3*g1^2*g2^3*g3^9*t^8.951 - 5*g1*g3^6*t^8.967 - (5*g3^6*t^8.967)/(g1*g2^12) + (5*g3^3*t^8.984)/(g1^2*g2^15) + (7*g3^3*t^8.984)/g2^3 + 5*g1^2*g2^9*g3^3*t^8.984 - (g2*t^4.005)/(g3*y) - (g2^2*t^5.011)/(g3^2*y) - (g2^3*t^6.016)/(g3^3*y) - (g3^5*t^6.973)/(g1*g2^11*y) - (g1*g2*g3^5*t^6.973)/y - t^7.005/(g1*g2^5*g3*y) - (g1*g2^7*t^7.005)/(g3*y) - (2*g2^4*t^7.022)/(g3^4*y) + (g3*t^7.995)/(g2*y) - (g2^5*t^8.027)/(g3^5*y) + (g3^12*t^8.935)/(g2^12*y) + (g3^6*t^8.967)/(g1^2*g2^18*y) + (2*g3^6*t^8.967)/(g2^6*y) + (g1^2*g2^6*g3^6*t^8.967)/y - (g2*t^4.005*y)/g3 - (g2^2*t^5.011*y)/g3^2 - (g2^3*t^6.016*y)/g3^3 - (g3^5*t^6.973*y)/(g1*g2^11) - g1*g2*g3^5*t^6.973*y - (t^7.005*y)/(g1*g2^5*g3) - (g1*g2^7*t^7.005*y)/g3 - (2*g2^4*t^7.022*y)/g3^4 + (g3*t^7.995*y)/g2 - (g2^5*t^8.027*y)/g3^5 + (g3^12*t^8.935*y)/g2^12 + (g3^6*t^8.967*y)/(g1^2*g2^18) + (2*g3^6*t^8.967*y)/g2^6 + g1^2*g2^6*g3^6*t^8.967*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 |
|---|---|---|---|---|---|---|---|---|
| 47946 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4949 | 1.7246 | 0.8668 | [M:[0.6737], q:[0.4984, 0.4969], qb:[0.5023, 0.493], phi:[0.3349]] | t^2.009 + t^2.021 + t^2.97 + t^2.974 + t^2.998 + t^3.002 + t^3.014 + t^3.974 + t^4.002 + t^4.007 + t^4.019 + t^4.03 + t^4.042 + 2*t^4.979 + 2*t^4.984 + t^4.991 + t^4.995 + 2*t^5.007 + 2*t^5.012 + t^5.019 + 2*t^5.023 + t^5.035 + t^5.47 + t^5.481 + t^5.486 + t^5.498 + t^5.939 + t^5.944 + t^5.949 + t^5.967 + t^5.972 + t^5.977 + 2*t^5.984 + t^5.988 + t^5.995 - 3*t^6. - t^4.005/y - t^5.009/y - t^4.005*y - t^5.009*y | detail | |
| 47902 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 1.4533 | 1.6422 | 0.885 | [M:[1.3296], q:[0.4972, 0.4972], qb:[0.5028, 0.4916], phi:[0.3352]] | 2*t^2.966 + 2*t^3. + t^3.017 + 2*t^3.972 + t^3.989 + 2*t^4.006 + 2*t^4.978 + 2*t^5.011 + t^5.464 + 2*t^5.48 + t^5.497 + 3*t^5.933 + 3*t^5.966 + 2*t^5.983 - 3*t^6. - t^4.006/y - t^5.011/y - t^4.006*y - t^5.011*y | detail | |
| 47909 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4751 | 1.6878 | 0.874 | [M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]] | t^2.032 + 2*t^2.904 + t^2.952 + 2*t^3. + 2*t^3.92 + 2*t^4.016 + t^4.064 + 4*t^4.936 + t^4.984 + 4*t^5.032 + t^5.397 + 2*t^5.443 + t^5.493 + 3*t^5.807 + 2*t^5.855 + 4*t^5.904 + 4*t^5.952 - 3*t^6. - t^4.016/y - t^5.032/y - t^4.016*y - t^5.032*y | detail | |
| 47920 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4749 | 1.6855 | 0.8751 | [M:[0.9816], q:[0.5159, 0.4791], qb:[0.5025, 0.4919], phi:[0.3351]] | t^2.011 + t^2.913 + 2*t^2.945 + t^3.016 + t^3.023 + t^3.918 + t^3.95 + t^4.021 + t^4.028 + t^4.06 + 2*t^4.924 + 3*t^4.956 + t^5.027 + 2*t^5.034 + t^5.066 + t^5.428 + t^5.464 + t^5.496 + t^5.538 + t^5.826 + 2*t^5.858 + 2*t^5.89 + 2*t^5.929 + t^5.936 + 3*t^5.961 + t^5.968 - 4*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail | |
| 47886 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail | |
| 47910 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | t^2.211 + t^2.315 + t^3.052 + t^3.685 + t^3.789 + t^3.892 + t^4.422 + 2*t^4.526 + t^4.629 + 2*t^5.263 + t^5.367 + 2*t^5.631 + 2*t^5.735 - t^6. - t^3.737/y - t^4.474/y - t^5.948/y - t^3.737*y - t^4.474*y - t^5.948*y | detail | |
| 47944 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail | |
| 47912 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y | detail | |
| 47924 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4375 | 1.625 | 0.8846 | [X:[1.3333], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]] | 5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3} |
| 47925 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2241 | 1.4234 | 0.86 | [X:[1.459], q:[0.7527, 0.2117], qb:[0.5178, 0.3292], phi:[0.3648]] | 2*t^2.189 + t^2.717 + t^3.246 + 2*t^3.283 + 2*t^3.811 + t^4.34 + 4*t^4.377 + 2*t^4.623 + 3*t^4.906 + 2*t^5.189 + 3*t^5.434 + 3*t^5.471 + 2*t^5.717 + t^5.963 + 3*t^6. - t^4.094/y - t^5.189/y - t^4.094*y - t^5.189*y | detail | |
| 47899 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.474 | 1.6831 | 0.8758 | [q:[0.5017, 0.4949], qb:[0.5017, 0.4949], phi:[0.3345]] | t^2.007 + t^2.969 + 2*t^2.99 + 2*t^3.01 + t^3.973 + 2*t^3.993 + 2*t^4.014 + 2*t^4.976 + 4*t^4.997 + 3*t^5.017 + 2*t^5.478 + 2*t^5.498 + t^5.938 + 2*t^5.959 + 4*t^5.979 + 2*t^6. - t^4.003/y - t^5.007/y - t^4.003*y - t^5.007*y | detail | |
| 47892 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.2512 | 1.4512 | 0.8622 | [X:[1.4, 1.4], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]] | t^2.4 + 4*t^3. + t^3.6 + 6*t^4.2 + t^4.35 + 2*t^4.65 + 6*t^5.4 + 3*t^5.55 + 2*t^5.85 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 20019/16000, c: 23219/16000, X1: 7/5, X2: 7/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | ${}$ | 1.4743 | 1.6854 | 0.8748 | [q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.026 + 4*t^2.96 + t^3.04 + 4*t^3.974 + t^4.053 + 8*t^4.987 + t^5.066 + 4*t^5.454 + 10*t^5.921 - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |