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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. + t^6.083 + t^6.102 + t^6.185 + 2*t^6.267 + t^6.35 + t^6.452 + t^6.535 + t^6.631 + t^6.714 + 2*t^6.796 + 2*t^6.879 + 2*t^6.962 + t^6.981 + 2*t^7.045 + t^7.064 + t^7.127 + t^7.147 + t^7.229 + t^7.312 + t^7.414 + t^7.497 + t^7.681 + t^7.783 + t^7.86 + t^7.866 + t^7.943 + t^7.949 + t^8.026 + t^8.108 + t^8.191 - 2*t^8.21 + t^8.274 - t^8.293 + t^8.312 - 2*t^8.376 + t^8.395 + t^8.458 - t^8.56 + t^8.643 + t^8.662 + t^8.726 + t^8.745 + 2*t^8.828 + t^8.841 + t^8.911 + t^8.924 - t^4.147/y - t^6.357/y - t^6.44/y - t^6.522/y + t^7.503/y + t^7.586/y + t^7.669/y + (2*t^7.771)/y + (2*t^7.853)/y + (2*t^7.936)/y - t^8.567/y + t^8.815/y + t^8.917/y - t^4.147*y - t^6.357*y - t^6.44*y - t^6.522*y + t^7.503*y + t^7.586*y + t^7.669*y + 2*t^7.771*y + 2*t^7.853*y + 2*t^7.936*y - t^8.567*y + t^8.815*y + t^8.917*y | g1^2*g2^4*t^2.21 + t^2.293/(g1^2*g2^2) + t^2.376/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + t^3.522/(g1^7*g2^9) + g1^2*g2^2*t^3.707 + g1^11*g2^13*t^3.892 + g1^7*g2^7*t^3.974 + g1^4*g2^8*t^4.421 + g2^2*t^4.503 + (2*t^4.586)/(g1^4*g2^4) + t^4.669/(g1^8*g2^10) + t^4.751/(g1^12*g2^16) + g1^5*g2^7*t^4.771 + 2*g1*g2*t^4.853 + t^4.936/(g1^3*g2^5) + g1^6*g2^6*t^5.121 + (g2*t^5.65)/g1 + t^5.733/(g1^5*g2^5) + t^5.815/(g1^9*g2^11) + t^5.898/(g1^13*g2^17) - t^6. + t^6.083/(g1^4*g2^6) + g1^13*g2^17*t^6.102 + g1^9*g2^11*t^6.185 + 2*g1^5*g2^5*t^6.267 + (g1*t^6.35)/g2 + g1^14*g2^16*t^6.452 + g1^10*g2^10*t^6.535 + g1^6*g2^12*t^6.631 + g1^2*g2^6*t^6.714 + (2*t^6.796)/g1^2 + (2*t^6.879)/(g1^6*g2^6) + (2*t^6.962)/(g1^10*g2^12) + g1^7*g2^11*t^6.981 + (2*t^7.045)/(g1^14*g2^18) + g1^3*g2^5*t^7.064 + t^7.127/(g1^18*g2^24) + t^7.147/(g1*g2) + t^7.229/(g1^5*g2^7) + t^7.312/(g1^9*g2^13) + g1^4*g2^4*t^7.414 + t^7.497/g2^2 + g1^9*g2^9*t^7.681 + g1^22*g2^26*t^7.783 + g1*g2^5*t^7.86 + g1^18*g2^20*t^7.866 + t^7.943/(g1^3*g2) + g1^14*g2^14*t^7.949 + t^8.026/(g1^7*g2^7) + t^8.108/(g1^11*g2^13) + t^8.191/(g1^15*g2^19) - 2*g1^2*g2^4*t^8.21 + t^8.274/(g1^19*g2^25) - t^8.293/(g1^2*g2^2) + g1^15*g2^21*t^8.312 - (2*t^8.376)/(g1^6*g2^8) + g1^11*g2^15*t^8.395 + t^8.458/(g1^10*g2^14) - g1^3*g2^3*t^8.56 + t^8.643/(g1*g2^3) + g1^16*g2^20*t^8.662 + t^8.726/(g1^5*g2^9) + g1^12*g2^14*t^8.745 + 2*g1^8*g2^8*t^8.828 + g1^8*g2^16*t^8.841 + g1^4*g2^2*t^8.911 + g1^4*g2^10*t^8.924 - t^4.147/(g1*g2*y) - (g1*g2^3*t^6.357)/y - t^6.44/(g1^3*g2^3*y) - t^6.522/(g1^7*g2^9*y) + (g2^2*t^7.503)/y + t^7.586/(g1^4*g2^4*y) + t^7.669/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.771)/y + (2*g1*g2*t^7.853)/y + (2*t^7.936)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.567)/y + t^8.815/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.917)/y - (t^4.147*y)/(g1*g2) - g1*g2^3*t^6.357*y - (t^6.44*y)/(g1^3*g2^3) - (t^6.522*y)/(g1^7*g2^9) + g2^2*t^7.503*y + (t^7.586*y)/(g1^4*g2^4) + (t^7.669*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.771*y + 2*g1*g2*t^7.853*y + (2*t^7.936*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.567*y + (t^8.815*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 46773 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6501 | 0.8094 | 0.8031 | [M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | t^2.265 + t^2.324 + t^2.384 + 2*t^2.513 + t^3.546 + t^3.676 + t^3.805 + t^3.865 + t^4.529 + t^4.589 + 2*t^4.649 + t^4.708 + t^4.768 + 2*t^4.778 + 3*t^4.838 + 2*t^4.898 + 3*t^5.027 + t^5.93 - 2*t^6. - t^4.162/y - t^4.162*y | detail | |
| 46519 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.63 | 0.78 | 0.8077 | [M:[1.2, 0.8, 0.8, 0.8], q:[0.4, 0.4], qb:[0.8, 0.8], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 6/5, M2: 4/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 2/5, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
| 46448 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6178 | 0.753 | 0.8204 | [M:[1.1598, 0.7771, 0.8402, 0.7693, 1.2229], q:[0.3846, 0.4556], qb:[0.8383, 0.7752], phi:[0.3866]] | t^2.308 + t^2.32 + t^2.521 + t^3.468 + t^3.479 + t^3.669 + t^3.68 + t^3.881 + t^3.893 + t^4.616 + t^4.627 + t^4.639 + t^4.828 + 2*t^4.84 + t^5.041 + t^5.775 + t^5.787 + t^5.976 + 2*t^5.988 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 46616 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6206 | 0.7586 | 0.8181 | [M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | t^2.122 + t^2.299 + t^2.552 + t^3.448 + t^3.525 + t^3.625 + t^3.701 + t^3.778 + t^3.954 + t^4.245 + t^4.421 + t^4.598 + t^4.674 + 2*t^4.851 + t^5.103 + t^5.571 + t^5.647 + t^5.747 + t^5.824 + t^5.9 - t^6. - t^4.149/y - t^4.149*y | detail | |
| 46384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6363 | 0.7853 | 0.8103 | [M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | t^2.171 + t^2.298 + t^2.425 + t^2.553 + t^3.447 + t^3.575 + t^3.702 + t^3.829 + t^3.956 + t^4.342 + t^4.47 + 2*t^4.597 + 2*t^4.724 + 3*t^4.851 + t^4.978 + t^5.105 + t^5.619 + t^5.746 + t^5.873 + t^6. - t^4.149/y - t^4.149*y | detail | |
| 46787 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6525 | 0.8144 | 0.8012 | [M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. - t^4.153/y - t^4.153*y | detail | |
| 46786 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6572 | 0.8255 | 0.7962 | [M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y | detail | |
| 46470 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6183 | 0.7529 | 0.8212 | [M:[1.1537, 0.745, 0.8463, 0.7932, 1.2309], q:[0.3966, 0.4497], qb:[0.8584, 0.757], phi:[0.3846]] | t^2.235 + t^2.38 + t^2.539 + t^3.461 + t^3.533 + 2*t^3.693 + t^3.852 + t^3.924 + t^4.47 + t^4.615 + t^4.759 + t^4.774 + t^4.846 + t^4.919 + t^5.078 + t^5.696 + t^5.913 + t^5.928 - 2*t^6. - t^4.154/y - t^4.154*y | detail | |
| 46349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ | 0.6342 | 0.7835 | 0.8094 | [M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | t^2.166 + t^2.333 + 2*t^2.5 + t^3.5 + 3*t^3.667 + t^3.834 + t^4.332 + t^4.499 + 3*t^4.666 + 3*t^4.833 + 3*t^5.001 + t^5.666 + 2*t^5.833 + t^6. - t^4.167/y - t^4.167*y | detail | |
| 46635 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4572 | 0.5324 | 0.8587 | [X:[1.6534, 1.4286], M:[0.8571, 0.3466, 1.1429, 0.7962], q:[0.3981, 0.7447], qb:[1.2553, 0.459], phi:[0.2857]] | t^2.389 + t^2.571 + t^3.246 + t^3.429 + t^4.286 + t^4.777 + t^4.96 + t^5.143 + t^5.635 + t^5.817 - t^6. - t^3.857/y - t^3.857*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |