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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. + 2*t^6.098 + t^6.197 + 2*t^6.393 + t^6.59 + t^6.728 + t^6.827 + t^6.925 + 6*t^7.023 + t^7.121 + t^7.22 + 5*t^7.318 + t^7.514 + 2*t^7.613 + t^7.711 + 2*t^7.907 + t^7.948 + 2*t^8.046 + 5*t^8.145 + 3*t^8.243 - 5*t^8.341 + 2*t^8.439 - 2*t^8.636 + 2*t^8.734 + 2*t^8.832 - t^4.22/y - (2*t^6.561)/y - t^6.855/y + t^7.584/y + t^7.682/y + (2*t^7.78)/y + (2*t^7.879)/y + (2*t^7.977)/y + t^8.075/y + (2*t^8.705)/y + (3*t^8.803)/y - t^4.22*y - 2*t^6.561*y - t^6.855*y + t^7.584*y + t^7.682*y + 2*t^7.78*y + 2*t^7.879*y + 2*t^7.977*y + t^8.075*y + 2*t^8.705*y + 3*t^8.803*y | 2*g1^6*t^2.341 + t^2.439/g1^4 + t^2.636/g1^24 + g1^24*t^3.364 + g1^14*t^3.462 + g1^4*t^3.561 + t^3.757/g1^16 + t^3.954/g1^36 + g1^22*t^4.584 + 4*g1^12*t^4.682 + g1^2*t^4.78 + (2*t^4.879)/g1^8 + (2*t^4.977)/g1^18 + t^5.272/g1^48 + g1^30*t^5.705 + 4*g1^20*t^5.803 + 2*g1^10*t^5.902 - 2*t^6. + (2*t^6.098)/g1^10 + t^6.197/g1^20 + (2*t^6.393)/g1^40 + t^6.59/g1^60 + g1^48*t^6.728 + g1^38*t^6.827 + g1^28*t^6.925 + 6*g1^18*t^7.023 + g1^8*t^7.121 + t^7.22/g1^2 + (5*t^7.318)/g1^12 + t^7.514/g1^32 + (2*t^7.613)/g1^42 + t^7.711/g1^52 + (2*t^7.907)/g1^72 + g1^46*t^7.948 + 2*g1^36*t^8.046 + 5*g1^26*t^8.145 + 3*g1^16*t^8.243 - 5*g1^6*t^8.341 + (2*t^8.439)/g1^4 - (2*t^8.636)/g1^24 + (2*t^8.734)/g1^34 + (2*t^8.832)/g1^44 - t^4.22/(g1^2*y) - (2*g1^4*t^6.561)/y - t^6.855/(g1^26*y) + (g1^22*t^7.584)/y + (g1^12*t^7.682)/y + (2*g1^2*t^7.78)/y + (2*t^7.879)/(g1^8*y) + (2*t^7.977)/(g1^18*y) + t^8.075/(g1^28*y) + (2*g1^30*t^8.705)/y + (3*g1^20*t^8.803)/y - (t^4.22*y)/g1^2 - 2*g1^4*t^6.561*y - (t^6.855*y)/g1^26 + g1^22*t^7.584*y + g1^12*t^7.682*y + 2*g1^2*t^7.78*y + (2*t^7.879*y)/g1^8 + (2*t^7.977*y)/g1^18 + (t^8.075*y)/g1^28 + 2*g1^30*t^8.705*y + 3*g1^20*t^8.803*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 |
|---|---|---|---|---|---|---|---|---|
| 1356 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | t^2.028 + 2*t^2.338 + t^2.441 + t^2.648 + t^3.352 + t^3.455 + t^3.559 + t^3.765 + t^4.057 + 2*t^4.366 + t^4.47 + t^4.573 + 5*t^4.676 + t^4.779 + 2*t^4.883 + 2*t^4.986 + t^5.295 + t^5.381 + t^5.484 + t^5.587 + t^5.69 + 5*t^5.794 + 2*t^5.897 - 2*t^6. - t^4.221/y - t^4.221*y | detail | |
| 2036 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6556 | 0.8224 | 0.7972 | [X:[1.5546], M:[0.4454, 1.1849, 0.7773, 0.8909, 0.7773, 0.7394], q:[0.7962, 0.7583], qb:[0.4644, 0.3508], phi:[0.4076]] | t^2.218 + 2*t^2.332 + t^2.445 + t^2.673 + t^3.327 + t^3.441 + t^3.555 + t^4.009 + t^4.436 + 3*t^4.55 + 5*t^4.664 + t^4.777 + 3*t^4.891 + 2*t^5.005 + t^5.345 + t^5.546 + 2*t^5.659 + 5*t^5.773 + 2*t^5.886 - 2*t^6. - t^4.223/y - t^4.223*y | detail | |
| 2034 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | 2*t^2.356 + t^2.429 + t^2.502 + t^2.574 + t^3.426 + t^3.571 + t^3.716 + t^3.862 + t^4.64 + 4*t^4.713 + t^4.785 + 4*t^4.858 + 3*t^4.931 + t^5.004 + t^5.076 + t^5.149 + t^5.782 + 2*t^5.855 + 2*t^5.927 - 2*t^6. - t^4.215/y - t^4.215*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. - t^4.218/y - t^4.218*y | detail |