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 |
|---|---|---|---|---|---|---|---|---|---|
| 120 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | [M:[[1, -4, -1], [0, 1, -5], [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 |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. + t^6.016 + t^6.193 + t^6.218 + t^6.227 + t^6.237 + t^6.243 + t^6.252 + 2*t^6.262 + t^6.268 + t^6.271 + t^6.277 + t^6.28 + 2*t^6.287 + 2*t^6.296 + 2*t^6.305 + t^6.314 + t^6.324 + t^6.719 + t^6.728 + t^6.753 + t^6.778 + t^6.981 + t^7.006 + t^7.015 + t^7.031 + t^7.04 + t^7.049 + t^7.059 + t^7.068 - t^7.074 - t^7.084 + t^7.734 + t^7.743 + t^7.753 + t^7.768 + t^7.794 + t^7.803 - t^7.837 + t^7.853 + t^7.996 + t^8.005 + t^8.021 + 2*t^8.03 + t^8.039 + t^8.046 + t^8.049 + 2*t^8.055 - t^8.064 + t^8.074 + t^8.08 + t^8.083 - 3*t^8.089 + t^8.092 - 2*t^8.099 + t^8.105 - 3*t^8.108 - t^8.133 + t^8.257 + t^8.282 + t^8.292 + t^8.301 + t^8.307 + t^8.317 + 2*t^8.326 + t^8.333 + t^8.335 + t^8.342 + t^8.344 + 2*t^8.351 + t^8.358 + 2*t^8.36 + t^8.367 + 2*t^8.369 + 2*t^8.376 + t^8.379 + 2*t^8.385 + t^8.388 + 3*t^8.395 + 2*t^8.404 + 2*t^8.413 + t^8.422 + t^8.431 + t^8.556 + t^8.783 + t^8.793 + t^8.809 + 2*t^8.818 + t^8.827 + t^8.836 - 3*t^8.852 - t^8.861 + t^8.868 - t^8.886 - t^4.049/y - t^6.114/y - t^6.139/y - t^6.148/y - t^6.157/y + t^7.154/y + t^7.163/y + t^7.172/y + t^7.188/y + t^7.197/y + t^7.206/y + t^7.916/y + (2*t^7.941)/y + (2*t^7.951)/y + (2*t^7.96)/y + t^7.985/y - t^8.178/y - t^8.203/y - t^8.212/y - t^8.222/y - t^8.228/y - t^8.237/y - (2*t^8.247)/y - t^8.256/y - t^8.265/y + t^8.931/y + t^8.941/y + t^8.956/y + (3*t^8.966)/y + (2*t^8.975)/y + t^8.984/y + (2*t^8.991)/y - t^4.049*y - t^6.114*y - t^6.139*y - t^6.148*y - t^6.157*y + t^7.154*y + t^7.163*y + t^7.172*y + t^7.188*y + t^7.197*y + t^7.206*y + t^7.916*y + 2*t^7.941*y + 2*t^7.951*y + 2*t^7.96*y + t^7.985*y - t^8.178*y - t^8.203*y - t^8.212*y - t^8.222*y - t^8.228*y - t^8.237*y - 2*t^8.247*y - t^8.256*y - t^8.265*y + t^8.931*y + t^8.941*y + t^8.956*y + 3*t^8.966*y + 2*t^8.975*y + t^8.984*y + 2*t^8.991*y | (g1*t^2.064)/(g2^4*g3) + (g3*t^2.089)/g2^5 + t^2.099/(g2^2*g3^2) + (g2*t^2.108)/g3^5 + g2^3*g3^3*t^2.852 + g1*g3^3*t^3.867 + g1*g2^3*t^3.876 + g2^2*g3^2*t^3.901 + (g2*g3^4*t^3.926)/g1 + (g1^2*t^4.129)/(g2^8*g3^2) + (g1*t^4.154)/g2^9 + (g1*t^4.163)/(g2^6*g3^3) + (g1*t^4.172)/(g2^3*g3^6) + (g3^2*t^4.179)/g2^10 + t^4.188/(g2^7*g3) + (2*t^4.197)/(g2^4*g3^4) + t^4.206/(g2*g3^7) + (g2^2*t^4.216)/g3^10 + (g1*g3^2*t^4.916)/g2 + (g3^4*t^4.941)/g2^2 + 2*g2*g3*t^4.951 + (g2^4*t^4.96)/g3^2 + g2^6*g3^6*t^5.704 + (g1^2*g3^2*t^5.931)/g2^4 + (g1^2*t^5.941)/(g2*g3) + (g1*g3^4*t^5.956)/g2^5 + (2*g1*g3*t^5.966)/g2^2 + (g1*g2*t^5.975)/g3^2 + (g1*g2^4*t^5.984)/g3^5 + (g3^3*t^5.991)/g2^3 - 2*t^6. + (g3^5*t^6.016)/(g1*g2^4) + (g1^3*t^6.193)/(g2^12*g3^3) + (g1^2*t^6.218)/(g2^13*g3) + (g1^2*t^6.227)/(g2^10*g3^4) + (g1^2*t^6.237)/(g2^7*g3^7) + (g1*g3*t^6.243)/g2^14 + (g1*t^6.252)/(g2^11*g3^2) + (2*g1*t^6.262)/(g2^8*g3^5) + (g3^3*t^6.268)/g2^15 + (g1*t^6.271)/(g2^5*g3^8) + t^6.277/g2^12 + (g1*t^6.28)/(g2^2*g3^11) + (2*t^6.287)/(g2^9*g3^3) + (2*t^6.296)/(g2^6*g3^6) + (2*t^6.305)/(g2^3*g3^9) + t^6.314/g3^12 + (g2^3*t^6.324)/g3^15 + g1*g2^3*g3^6*t^6.719 + g1*g2^6*g3^3*t^6.728 + g2^5*g3^5*t^6.753 + (g2^4*g3^7*t^6.778)/g1 + (g1^2*g3*t^6.981)/g2^5 + (g1*g3^3*t^7.006)/g2^6 + (g1*t^7.015)/g2^3 + (g3^5*t^7.031)/g2^7 + (g3^2*t^7.04)/g2^4 + t^7.049/(g2*g3) + (g2^2*t^7.059)/g3^4 + (g2^5*t^7.068)/g3^7 - (g3*t^7.074)/(g1*g2^2) - (g2*t^7.084)/(g1*g3^2) + g1^2*g3^6*t^7.734 + g1^2*g2^3*g3^3*t^7.743 + g1^2*g2^6*t^7.753 + g1*g2^2*g3^5*t^7.768 + g2*g3^7*t^7.794 + g2^4*g3^4*t^7.803 - (g2^6*g3^3*t^7.837)/g1 + (g2^2*g3^8*t^7.853)/g1^2 + (g1^3*g3*t^7.996)/g2^8 + (g1^3*t^8.005)/(g2^5*g3^2) + (g1^2*g3^3*t^8.021)/g2^9 + (2*g1^2*t^8.03)/g2^6 + (g1^2*t^8.039)/(g2^3*g3^3) + (g1*g3^5*t^8.046)/g2^10 + (g1^2*t^8.049)/g3^6 + (2*g1*g3^2*t^8.055)/g2^7 - (g1*t^8.064)/(g2^4*g3) + (g1*t^8.074)/(g2*g3^4) + (g3^4*t^8.08)/g2^8 + (g1*g2^2*t^8.083)/g3^7 - (3*g3*t^8.089)/g2^5 + (g1*g2^5*t^8.092)/g3^10 - (2*t^8.099)/(g2^2*g3^2) + (g3^6*t^8.105)/(g1*g2^9) - (3*g2*t^8.108)/g3^5 - t^8.133/(g1*g3^3) + (g1^4*t^8.257)/(g2^16*g3^4) + (g1^3*t^8.282)/(g2^17*g3^2) + (g1^3*t^8.292)/(g2^14*g3^5) + (g1^3*t^8.301)/(g2^11*g3^8) + (g1^2*t^8.307)/g2^18 + (g1^2*t^8.317)/(g2^15*g3^3) + (2*g1^2*t^8.326)/(g2^12*g3^6) + (g1*g3^2*t^8.333)/g2^19 + (g1^2*t^8.335)/(g2^9*g3^9) + (g1*t^8.342)/(g2^16*g3) + (g1^2*t^8.344)/(g2^6*g3^12) + (2*g1*t^8.351)/(g2^13*g3^4) + (g3^4*t^8.358)/g2^20 + (2*g1*t^8.36)/(g2^10*g3^7) + (g3*t^8.367)/g2^17 + (2*g1*t^8.369)/(g2^7*g3^10) + (2*t^8.376)/(g2^14*g3^2) + (g1*t^8.379)/(g2^4*g3^13) + (2*t^8.385)/(g2^11*g3^5) + (g1*t^8.388)/(g2*g3^16) + (3*t^8.395)/(g2^8*g3^8) + (2*t^8.404)/(g2^5*g3^11) + (2*t^8.413)/(g2^2*g3^14) + (g2*t^8.422)/g3^17 + (g2^4*t^8.431)/g3^20 + g2^9*g3^9*t^8.556 + (g1^2*g3^5*t^8.783)/g2 + g1^2*g2^2*g3^2*t^8.793 + (g1*g3^7*t^8.809)/g2^2 + 2*g1*g2*g3^4*t^8.818 + g1*g2^4*g3*t^8.827 + (g1*g2^7*t^8.836)/g3^2 - 3*g2^3*g3^3*t^8.852 - g2^6*t^8.861 + (g3^8*t^8.868)/(g1*g2) - (g2^5*g3^2*t^8.886)/g1 - t^4.049/(g2*g3*y) - (g1*t^6.114)/(g2^5*g3^2*y) - t^6.139/(g2^6*y) - t^6.148/(g2^3*g3^3*y) - t^6.157/(g3^6*y) + (g1*t^7.154)/(g2^9*y) + (g1*t^7.163)/(g2^6*g3^3*y) + (g1*t^7.172)/(g2^3*g3^6*y) + t^7.188/(g2^7*g3*y) + t^7.197/(g2^4*g3^4*y) + t^7.206/(g2*g3^7*y) + (g1*g3^2*t^7.916)/(g2*y) + (2*g3^4*t^7.941)/(g2^2*y) + (2*g2*g3*t^7.951)/y + (2*g2^4*t^7.96)/(g3^2*y) + (g2^3*t^7.985)/(g1*y) - (g1^2*t^8.178)/(g2^9*g3^3*y) - (g1*t^8.203)/(g2^10*g3*y) - (g1*t^8.212)/(g2^7*g3^4*y) - (g1*t^8.222)/(g2^4*g3^7*y) - (g3*t^8.228)/(g2^11*y) - t^8.237/(g2^8*g3^2*y) - (2*t^8.247)/(g2^5*g3^5*y) - t^8.256/(g2^2*g3^8*y) - (g2*t^8.265)/(g3^11*y) + (g1^2*g3^2*t^8.931)/(g2^4*y) + (g1^2*t^8.941)/(g2*g3*y) + (g1*g3^4*t^8.956)/(g2^5*y) + (3*g1*g3*t^8.966)/(g2^2*y) + (2*g1*g2*t^8.975)/(g3^2*y) + (g1*g2^4*t^8.984)/(g3^5*y) + (2*g3^3*t^8.991)/(g2^3*y) - (t^4.049*y)/(g2*g3) - (g1*t^6.114*y)/(g2^5*g3^2) - (t^6.139*y)/g2^6 - (t^6.148*y)/(g2^3*g3^3) - (t^6.157*y)/g3^6 + (g1*t^7.154*y)/g2^9 + (g1*t^7.163*y)/(g2^6*g3^3) + (g1*t^7.172*y)/(g2^3*g3^6) + (t^7.188*y)/(g2^7*g3) + (t^7.197*y)/(g2^4*g3^4) + (t^7.206*y)/(g2*g3^7) + (g1*g3^2*t^7.916*y)/g2 + (2*g3^4*t^7.941*y)/g2^2 + 2*g2*g3*t^7.951*y + (2*g2^4*t^7.96*y)/g3^2 + (g2^3*t^7.985*y)/g1 - (g1^2*t^8.178*y)/(g2^9*g3^3) - (g1*t^8.203*y)/(g2^10*g3) - (g1*t^8.212*y)/(g2^7*g3^4) - (g1*t^8.222*y)/(g2^4*g3^7) - (g3*t^8.228*y)/g2^11 - (t^8.237*y)/(g2^8*g3^2) - (2*t^8.247*y)/(g2^5*g3^5) - (t^8.256*y)/(g2^2*g3^8) - (g2*t^8.265*y)/g3^11 + (g1^2*g3^2*t^8.931*y)/g2^4 + (g1^2*t^8.941*y)/(g2*g3) + (g1*g3^4*t^8.956*y)/g2^5 + (3*g1*g3*t^8.966*y)/g2^2 + (2*g1*g2*t^8.975*y)/g3^2 + (g1*g2^4*t^8.984*y)/g3^5 + (2*g3^3*t^8.991*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 193 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ | 0.57 | 0.6943 | 0.8211 | [X:[1.4099], M:[1.0, 0.5901, 1.0], q:[0.6988, 0.9037], qb:[0.3012, 0.5062], phi:[0.3975]] | t^2.385 + t^2.422 + 2*t^3. + 3*t^3.615 + 2*t^4.23 + t^4.77 + 2*t^4.807 + t^4.845 + 2*t^5.422 + t^6. - t^4.193/y - t^4.193*y | detail | |
| 194 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5429 | 0.6874 | 0.7898 | [M:[1.1258, 0.7766, 0.9719], q:[0.5787, 0.9842], qb:[0.2955, 0.3932], phi:[0.4371]] | t^2.066 + t^2.33 + t^2.623 + 2*t^2.916 + 2*t^3.377 + t^3.839 + 2*t^4.132 + t^4.396 + t^4.659 + 2*t^4.689 + t^4.952 + 2*t^4.982 + 2*t^5.245 + 2*t^5.443 + t^5.538 + t^5.707 + 3*t^5.831 + t^5.905 - 2*t^6. - t^4.311/y - t^4.311*y | detail | |
| 192 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.6107 | 0.7595 | 0.8041 | [M:[1.0, 0.6889, 0.8353], q:[0.6082, 1.0108], qb:[0.3918, 0.465], phi:[0.381]] | t^2.067 + t^2.286 + t^2.506 + t^2.571 + t^3. + t^3.22 + t^3.714 + t^4.133 + t^4.208 + t^4.353 + t^4.427 + 2*t^4.573 + t^4.637 + t^4.792 + 2*t^4.857 + t^5.012 + t^5.067 + t^5.077 + t^5.141 + t^5.286 + t^5.506 + t^5.571 + t^5.726 + t^5.79 - t^6. - t^4.143/y - t^4.143*y | detail | |
| 198 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6487 | 0.7983 | 0.8127 | [M:[0.6881, 0.7271, 0.6881, 1.2729], q:[0.8329, 0.8133], qb:[0.4791, 0.4596], phi:[0.3538]] | 2*t^2.064 + t^2.123 + t^2.816 + 2*t^3.819 + 3*t^3.877 + 3*t^4.128 + 2*t^4.187 + t^4.245 + 2*t^4.88 + 2*t^4.939 + t^5.632 + 4*t^5.883 + 6*t^5.941 - 2*t^6. - t^4.061/y - t^4.061*y | detail | |
| 200 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6895 | 0.8749 | 0.7881 | [M:[0.6857, 0.6986, 0.6931, 0.6959], q:[0.8349, 0.8172], qb:[0.4795, 0.4767], phi:[0.3479]] | t^2.057 + t^2.079 + 2*t^2.088 + t^2.096 + t^2.869 + t^3.882 + t^3.89 + t^3.935 + t^4.114 + t^4.136 + 2*t^4.145 + t^4.153 + t^4.159 + 2*t^4.167 + 4*t^4.175 + 2*t^4.183 + t^4.191 + t^4.926 + t^4.948 + 3*t^4.956 + t^4.964 + t^5.737 + t^5.939 + t^5.947 + t^5.961 + 2*t^5.969 + 2*t^5.978 + t^5.986 - 3*t^6. - t^4.044/y - t^4.044*y | detail | |
| 1712 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6897 | 0.8762 | 0.7872 | [M:[0.6829, 0.6979, 0.6979, 0.6829], q:[0.8406, 0.8104], qb:[0.4765, 0.4765], phi:[0.349]] | 2*t^2.049 + 3*t^2.094 + t^2.859 + 2*t^3.861 + t^3.906 + 3*t^4.097 + 6*t^4.142 + 6*t^4.188 + 2*t^4.908 + 4*t^4.953 + t^5.718 + 4*t^5.909 + 6*t^5.955 - 2*t^6. - t^4.047/y - t^4.047*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail |