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 |
|---|---|---|---|---|---|---|---|---|---|
| 2714 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6134 | 0.7861 | 0.7803 | [M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | [M:[[0], [-8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | t^2.125 + t^2.292 + t^2.459 + t^2.665 + 2*t^2.833 + t^3. + t^3.708 + t^3.875 + t^4.043 + t^4.249 + t^4.416 + 3*t^4.584 + 2*t^4.751 + t^4.79 + 2*t^4.918 + 2*t^4.957 + 3*t^5.125 + 3*t^5.292 + t^5.331 + t^5.459 + 2*t^5.498 + 4*t^5.665 + t^5.833 - t^6. + t^6.167 + t^6.335 + t^6.374 + t^6.502 + 2*t^6.541 + 4*t^6.708 + 3*t^6.875 + t^6.914 + 3*t^7.043 + 2*t^7.082 + 2*t^7.21 + 3*t^7.249 + 2*t^7.377 + 5*t^7.416 + t^7.455 + 4*t^7.584 + 2*t^7.623 + 4*t^7.751 + 4*t^7.79 + t^7.918 + 4*t^7.957 + t^7.996 + 2*t^8.125 + 2*t^8.163 - t^8.292 + 4*t^8.331 - 3*t^8.459 + 6*t^8.498 + t^8.626 - t^8.665 + 2*t^8.794 - 3*t^8.833 + 2*t^8.961 - t^4.416/y - t^6.541/y - t^7.082/y - t^7.249/y + t^7.416/y + (2*t^7.584)/y + (2*t^7.751)/y + t^7.79/y + (3*t^7.957)/y + (4*t^8.125)/y + (4*t^8.292)/y + t^8.459/y + (2*t^8.498)/y + t^8.665/y + (3*t^8.833)/y - t^4.416*y - t^6.541*y - t^7.082*y - t^7.249*y + t^7.416*y + 2*t^7.584*y + 2*t^7.751*y + t^7.79*y + 3*t^7.957*y + 4*t^8.125*y + 4*t^8.292*y + t^8.459*y + 2*t^8.498*y + t^8.665*y + 3*t^8.833*y | t^2.125/g1^3 + g1*t^2.292 + g1^5*t^2.459 + t^2.665/g1^8 + (2*t^2.833)/g1^4 + t^3. + t^3.708/g1 + g1^3*t^3.875 + g1^7*t^4.043 + t^4.249/g1^6 + t^4.416/g1^2 + 3*g1^2*t^4.584 + 2*g1^6*t^4.751 + t^4.79/g1^11 + 2*g1^10*t^4.918 + (2*t^4.957)/g1^7 + (3*t^5.125)/g1^3 + 3*g1*t^5.292 + t^5.331/g1^16 + g1^5*t^5.459 + (2*t^5.498)/g1^12 + (4*t^5.665)/g1^8 + t^5.833/g1^4 - t^6. + g1^4*t^6.167 + g1^8*t^6.335 + t^6.374/g1^9 + g1^12*t^6.502 + (2*t^6.541)/g1^5 + (4*t^6.708)/g1 + 3*g1^3*t^6.875 + t^6.914/g1^14 + 3*g1^7*t^7.043 + (2*t^7.082)/g1^10 + 2*g1^11*t^7.21 + (3*t^7.249)/g1^6 + 2*g1^15*t^7.377 + (5*t^7.416)/g1^2 + t^7.455/g1^19 + 4*g1^2*t^7.584 + (2*t^7.623)/g1^15 + 4*g1^6*t^7.751 + (4*t^7.79)/g1^11 + g1^10*t^7.918 + (4*t^7.957)/g1^7 + t^7.996/g1^24 + (2*t^8.125)/g1^3 + (2*t^8.163)/g1^20 - g1*t^8.292 + (4*t^8.331)/g1^16 - 3*g1^5*t^8.459 + (6*t^8.498)/g1^12 + g1^9*t^8.626 - t^8.665/g1^8 + 2*g1^13*t^8.794 - (3*t^8.833)/g1^4 + 2*g1^17*t^8.961 - t^4.416/(g1^2*y) - t^6.541/(g1^5*y) - t^7.082/(g1^10*y) - t^7.249/(g1^6*y) + t^7.416/(g1^2*y) + (2*g1^2*t^7.584)/y + (2*g1^6*t^7.751)/y + t^7.79/(g1^11*y) + (3*t^7.957)/(g1^7*y) + (4*t^8.125)/(g1^3*y) + (4*g1*t^8.292)/y + (g1^5*t^8.459)/y + (2*t^8.498)/(g1^12*y) + t^8.665/(g1^8*y) + (3*t^8.833)/(g1^4*y) - (t^4.416*y)/g1^2 - (t^6.541*y)/g1^5 - (t^7.082*y)/g1^10 - (t^7.249*y)/g1^6 + (t^7.416*y)/g1^2 + 2*g1^2*t^7.584*y + 2*g1^6*t^7.751*y + (t^7.79*y)/g1^11 + (3*t^7.957*y)/g1^7 + (4*t^8.125*y)/g1^3 + 4*g1*t^8.292*y + g1^5*t^8.459*y + (2*t^8.498*y)/g1^12 + (t^8.665*y)/g1^8 + (3*t^8.833*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3223 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6062 | 0.7757 | 0.7815 | [M:[1.0, 0.9565, 0.7337, 1.0435], q:[0.7554, 0.2446], qb:[0.5109, 0.5326], phi:[0.4891]] | t^2.201 + t^2.266 + t^2.332 + 2*t^2.935 + t^3. + t^3.13 + t^3.734 + t^3.799 + t^3.864 + t^4.402 + t^4.467 + 3*t^4.533 + 2*t^4.598 + 2*t^4.663 + t^5.136 + 2*t^5.201 + 3*t^5.266 + 2*t^5.332 + t^5.397 + t^5.462 + 3*t^5.87 + t^5.935 - t^6. - t^4.467/y - t^4.467*y | detail | |
| 3221 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.5931 | 0.7477 | 0.7932 | [M:[1.0, 0.8948, 0.7105, 1.2895], q:[0.7632, 0.2368], qb:[0.5263, 0.5789], phi:[0.4737]] | t^2.289 + t^2.447 + t^2.684 + 2*t^2.842 + t^3. + t^3.711 + 2*t^3.868 + t^4.026 + 2*t^4.579 + 2*t^4.737 + 2*t^4.895 + 2*t^5.132 + 3*t^5.289 + t^5.369 + t^5.447 + 2*t^5.527 + 4*t^5.684 - 2*t^6. - t^4.421/y - t^4.421*y | detail | |
| 3222 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6318 | 0.8193 | 0.7712 | [M:[1.0, 0.8927, 0.7098, 0.7634], q:[0.7634, 0.2366], qb:[0.5268, 0.5805], phi:[0.4732]] | t^2.129 + 2*t^2.29 + t^2.451 + t^2.678 + 2*t^2.839 + t^3. + t^3.871 + t^4.032 + t^4.259 + 2*t^4.42 + 5*t^4.58 + 3*t^4.741 + t^4.807 + 2*t^4.902 + 3*t^4.968 + 5*t^5.129 + 4*t^5.29 + t^5.356 + t^5.451 + 2*t^5.517 + 4*t^5.678 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 3224 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6338 | 0.825 | 0.7683 | [M:[1.0, 0.8827, 0.706, 0.706], q:[0.7647, 0.2353], qb:[0.5293, 0.5879], phi:[0.4707]] | 2*t^2.118 + t^2.294 + t^2.47 + t^2.648 + 2*t^2.824 + t^3. + t^3.706 + t^4.058 + 3*t^4.236 + 2*t^4.412 + 4*t^4.588 + 2*t^4.764 + 2*t^4.766 + 2*t^4.94 + 4*t^4.942 + 4*t^5.118 + 3*t^5.294 + t^5.296 + t^5.47 + 2*t^5.472 + 4*t^5.648 + 2*t^5.824 - 2*t^6. - t^4.412/y - t^4.412*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1715 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6151 | 0.7899 | 0.7787 | [M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.016 + t^2.385 + t^2.391 + t^2.631 + 2*t^2.816 + t^3. + t^3.793 + t^3.799 + t^3.977 + t^4.033 + t^4.402 + t^4.408 + t^4.647 + 2*t^4.771 + 2*t^4.777 + 2*t^4.783 + 2*t^4.832 + t^5.016 + 2*t^5.201 + 2*t^5.207 + t^5.262 + t^5.385 + t^5.391 + 2*t^5.447 + 4*t^5.631 + t^5.809 + 2*t^5.816 - 3*t^6. - t^4.408/y - t^4.408*y | detail |