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 |
|---|---|---|---|---|---|---|---|---|---|
| 731 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.6462 | 0.7871 | 0.821 | [X:[1.3527], M:[1.0402, 1.1562, 0.9598, 0.6473, 0.8438], q:[0.7746, 0.3817], qb:[0.5781, 0.4621], phi:[0.4509]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.531 + t^2.705 + t^2.879 + t^3.121 + t^3.469 + t^3.643 + t^3.71 + t^3.884 + t^4.058 + t^4.125 + t^4.232 + t^4.473 + t^4.821 + t^5.063 + t^5.237 + t^5.411 + t^5.585 + t^5.826 - t^6. + t^6.174 + t^6.241 + t^6.348 + t^6.415 + t^6.522 + t^6.589 + t^6.657 + t^6.763 + 2*t^6.831 + t^6.937 + t^7.005 + t^7.111 + t^7.179 + t^7.246 + t^7.285 + t^7.353 + 2*t^7.527 + 2*t^7.594 + t^7.701 + 2*t^7.768 + t^7.835 + t^7.875 + 2*t^7.942 + t^8.009 + t^8.116 + t^8.183 + t^8.251 + t^8.29 + t^8.464 + t^8.599 - t^8.705 - t^8.879 + 2*t^8.947 - t^4.353/y - t^7.058/y + t^7.647/y + t^8.237/y + t^8.411/y + t^8.585/y + t^8.652/y + t^8.826/y - t^4.353*y - t^7.058*y + t^7.647*y + t^8.237*y + t^8.411*y + t^8.585*y + t^8.652*y + t^8.826*y | t^2.531/g1^14 + g1^4*t^2.705 + g1^22*t^2.879 + t^3.121/g1^22 + g1^14*t^3.469 + g1^32*t^3.643 + t^3.71/g1^30 + t^3.884/g1^12 + g1^6*t^4.058 + t^4.125/g1^56 + g1^24*t^4.232 + t^4.473/g1^20 + g1^16*t^4.821 + t^5.063/g1^28 + t^5.237/g1^10 + g1^8*t^5.411 + g1^26*t^5.585 + t^5.826/g1^18 - t^6. + g1^18*t^6.174 + t^6.241/g1^44 + g1^36*t^6.348 + t^6.415/g1^26 + g1^54*t^6.522 + t^6.589/g1^8 + t^6.657/g1^70 + g1^10*t^6.763 + (2*t^6.831)/g1^52 + g1^28*t^6.937 + t^7.005/g1^34 + g1^46*t^7.111 + t^7.179/g1^16 + t^7.246/g1^78 + g1^64*t^7.285 + g1^2*t^7.353 + 2*g1^20*t^7.527 + (2*t^7.594)/g1^42 + g1^38*t^7.701 + (2*t^7.768)/g1^24 + t^7.835/g1^86 + g1^56*t^7.875 + (2*t^7.942)/g1^6 + t^8.009/g1^68 + g1^12*t^8.116 + t^8.183/g1^50 + t^8.251/g1^112 + g1^30*t^8.29 + g1^48*t^8.464 + t^8.599/g1^76 - g1^4*t^8.705 - g1^22*t^8.879 + (2*t^8.947)/g1^40 - (g1^2*t^4.353)/y - (g1^6*t^7.058)/y + t^7.647/(g1^2*y) + t^8.237/(g1^10*y) + (g1^8*t^8.411)/y + (g1^26*t^8.585)/y + t^8.652/(g1^36*y) + t^8.826/(g1^18*y) - g1^2*t^4.353*y - g1^6*t^7.058*y + (t^7.647*y)/g1^2 + (t^8.237*y)/g1^10 + g1^8*t^8.411*y + g1^26*t^8.585*y + (t^8.652*y)/g1^36 + (t^8.826*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1197 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{6}$ | 0.66 | 0.8114 | 0.8134 | [X:[1.3555], M:[1.0297, 1.1629, 0.9703, 0.6445, 0.8371, 0.8371], q:[0.7741, 0.3888], qb:[0.5814, 0.4483], phi:[0.4518]] | 2*t^2.511 + t^2.711 + t^2.911 + t^3.089 + t^3.667 + t^3.688 + t^3.867 + t^4.045 + t^4.067 + t^4.266 + t^4.445 + t^4.844 + 3*t^5.023 + 2*t^5.222 + 2*t^5.422 + t^5.6 + t^5.622 + t^5.8 - 2*t^6. - t^4.356/y - t^4.356*y | detail | |
| 1199 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.615 | 0.7592 | 0.81 | [X:[1.3846], M:[0.9231, 1.2308, 1.0769, 0.6154, 0.7692], q:[0.7692, 0.4615], qb:[0.6154, 0.3077], phi:[0.4615]] | t^2.308 + 2*t^2.769 + 3*t^3.231 + 2*t^3.692 + 3*t^4.154 + 2*t^4.615 + 2*t^5.077 + 4*t^5.538 + 4*t^6. - t^4.385/y - t^4.385*y | detail | {a: 10809/17576, c: 1668/2197, X1: 18/13, M1: 12/13, M2: 16/13, M3: 14/13, M4: 8/13, M5: 10/13, q1: 10/13, q2: 6/13, qb1: 8/13, qb2: 4/13, phi1: 6/13} |
| 1200 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6666 | 0.826 | 0.8071 | [X:[1.352], M:[1.0427, 1.1546, 0.9573, 0.648, 0.8454, 0.704], q:[0.7747, 0.3799], qb:[0.5773, 0.4654], phi:[0.4507]] | t^2.112 + t^2.536 + t^2.704 + t^2.872 + t^3.128 + t^3.464 + t^3.632 + t^3.72 + t^4.056 + t^4.145 + 2*t^4.224 + t^4.48 + t^4.648 + 2*t^4.816 + t^4.984 + t^5.072 + 2*t^5.24 + t^5.408 + 2*t^5.576 + t^5.744 + 2*t^5.832 - t^6. - t^4.352/y - t^4.352*y | detail | |
| 1198 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6641 | 0.8203 | 0.8096 | [X:[1.3569], M:[1.0247, 1.1661, 0.9753, 0.6431, 0.8339, 0.7632], q:[0.7738, 0.3923], qb:[0.5831, 0.4416], phi:[0.4523]] | t^2.29 + t^2.502 + t^2.714 + t^2.926 + t^3.074 + t^3.498 + t^3.646 + t^3.859 + t^4.007 + t^4.071 + t^4.283 + t^4.431 + t^4.579 + t^4.791 + t^4.855 + 2*t^5.003 + 2*t^5.215 + t^5.364 + t^5.428 + t^5.64 + 2*t^5.788 + t^5.936 - t^6. - t^4.357/y - t^4.357*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 |
|---|---|---|---|---|---|---|---|---|---|
| 438 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | t^2.007 + t^2.244 + t^2.504 + t^2.764 + t^2.999 + t^3.001 + t^3.991 + t^4.013 + t^4.016 + 2*t^4.251 + t^4.253 + t^4.486 + 2*t^4.488 + t^4.491 + t^4.51 + t^4.748 + t^4.77 + t^5.005 + 3*t^5.008 + t^5.243 + t^5.245 + t^5.267 + t^5.503 + t^5.505 + t^5.527 + t^5.998 - 2*t^6. - t^4.252/y - t^4.252*y | detail |