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 |
|---|---|---|---|---|---|---|---|---|---|
| 51779 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5654 | 0.7 | 0.8078 | [X:[1.3415], M:[1.2705, 1.0355, 0.7295, 0.6585, 0.9645, 0.9645], q:[0.3292, 0.4003], qb:[0.6352, 0.9413], phi:[0.4235]] | [X:[[22]], M:[[-6], [14], [6], [-22], [-14], [-14]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.189 + t^2.541 + 2*t^2.893 + t^3.246 + t^3.459 + t^3.672 + t^3.811 + t^4.025 + t^4.377 + 2*t^4.73 + 3*t^5.082 + 2*t^5.434 + 3*t^5.787 + t^5.861 - t^6. + 2*t^6.139 + t^6.213 + t^6.352 + t^6.492 + 2*t^6.566 + t^6.705 + 2*t^6.918 + 3*t^7.27 + t^7.344 + 4*t^7.623 + t^7.697 - t^7.836 + 4*t^7.975 + 2*t^8.049 - 3*t^8.189 + 3*t^8.328 + t^8.402 - 2*t^8.541 + 4*t^8.68 + 2*t^8.754 - 4*t^8.893 - t^4.27/y - t^6.811/y - t^7.164/y + t^7.377/y + (2*t^7.73)/y + (2*t^8.082)/y + (3*t^8.434)/y + t^8.648/y + (2*t^8.787)/y + t^8.861/y - t^4.27*y - t^6.811*y - t^7.164*y + t^7.377*y + 2*t^7.73*y + 2*t^8.082*y + 3*t^8.434*y + t^8.648*y + 2*t^8.787*y + t^8.861*y | g1^6*t^2.189 + t^2.541/g1^4 + (2*t^2.893)/g1^14 + t^3.246/g1^24 + g1^4*t^3.459 + g1^32*t^3.672 + t^3.811/g1^6 + g1^22*t^4.025 + g1^12*t^4.377 + 2*g1^2*t^4.73 + (3*t^5.082)/g1^8 + (2*t^5.434)/g1^18 + (3*t^5.787)/g1^28 + g1^38*t^5.861 - t^6. + (2*t^6.139)/g1^38 + g1^28*t^6.213 + t^6.352/g1^10 + t^6.492/g1^48 + 2*g1^18*t^6.566 + t^6.705/g1^20 + 2*g1^8*t^6.918 + (3*t^7.27)/g1^2 + g1^64*t^7.344 + (4*t^7.623)/g1^12 + g1^54*t^7.697 - g1^16*t^7.836 + (4*t^7.975)/g1^22 + 2*g1^44*t^8.049 - 3*g1^6*t^8.189 + (3*t^8.328)/g1^32 + g1^34*t^8.402 - (2*t^8.541)/g1^4 + (4*t^8.68)/g1^42 + 2*g1^24*t^8.754 - (4*t^8.893)/g1^14 - t^4.27/(g1^2*y) - t^6.811/(g1^6*y) - t^7.164/(g1^16*y) + (g1^12*t^7.377)/y + (2*g1^2*t^7.73)/y + (2*t^8.082)/(g1^8*y) + (3*t^8.434)/(g1^18*y) + (g1^10*t^8.648)/y + (2*t^8.787)/(g1^28*y) + (g1^38*t^8.861)/y - (t^4.27*y)/g1^2 - (t^6.811*y)/g1^6 - (t^7.164*y)/g1^16 + g1^12*t^7.377*y + 2*g1^2*t^7.73*y + (2*t^8.082*y)/g1^8 + (3*t^8.434*y)/g1^18 + g1^10*t^8.648*y + (2*t^8.787*y)/g1^28 + g1^38*t^8.861*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 |
|---|---|---|---|---|---|---|---|---|
| 56318 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{7}$ | 0.5852 | 0.7367 | 0.7944 | [X:[1.3369], M:[1.2718, 1.0326, 0.7282, 0.6631, 0.9674, 0.9674, 0.7282], q:[0.3315, 0.3967], qb:[0.6359, 0.9402], phi:[0.4239]] | 2*t^2.185 + t^2.544 + 2*t^2.902 + t^3.261 + t^3.456 + t^3.652 + t^4.011 + 3*t^4.369 + 3*t^4.728 + 5*t^5.087 + 3*t^5.446 + t^5.641 + 3*t^5.805 + 2*t^5.837 - 2*t^6. - t^4.272/y - t^4.272*y | detail | |
| 56316 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.5752 | 0.7175 | 0.8017 | [X:[1.2955], M:[1.283, 1.0062, 0.717, 0.7045, 0.9938, 0.9938, 0.8678], q:[0.3523, 0.3647], qb:[0.6415, 0.9308], phi:[0.4277]] | t^2.151 + t^2.566 + t^2.603 + 2*t^2.981 + t^3.434 + t^3.471 + t^3.849 + t^3.886 + t^4.302 + 2*t^4.717 + t^4.754 + 3*t^5.132 + t^5.17 + t^5.207 + t^5.547 + 2*t^5.585 + t^5.622 + 2*t^5.963 - t^6. - t^4.283/y - t^4.283*y | detail | |
| 56317 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.5843 | 0.7357 | 0.7942 | [X:[1.369], M:[1.263, 1.053, 0.737, 0.631, 0.947, 0.947, 0.736], q:[0.3155, 0.4215], qb:[0.6315, 0.9475], phi:[0.421]] | t^2.208 + t^2.211 + t^2.526 + 2*t^2.841 + t^3.156 + t^3.474 + t^3.789 + t^4.107 + t^4.416 + t^4.419 + t^4.422 + t^4.734 + 2*t^4.737 + 2*t^5.049 + 3*t^5.052 + t^5.364 + 2*t^5.367 + 4*t^5.682 + 3*t^5.997 - t^6. - t^4.263/y - t^4.263*y | detail | |
| 56315 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5521 | 0.6771 | 0.8154 | [X:[1.3342], M:[1.2725, 1.0309, 0.7275, 0.6658, 0.9691, 0.9691, 1.1517], q:[0.3329, 0.3946], qb:[0.6362, 0.9396], phi:[0.4242]] | t^2.183 + 2*t^2.907 + t^3.27 + 2*t^3.455 + t^3.64 + t^3.817 + t^4.003 + t^4.365 + t^4.728 + 2*t^5.09 + t^5.638 + 2*t^5.815 + t^5.823 - 2*t^6. - t^4.272/y - t^4.272*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47052 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.708 | 0.8721 | 0.8119 | [M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y | detail |