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 |
|---|---|---|---|---|---|---|---|---|---|
| 46136 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9809, 0.9756, 1.1208, 0.6759], q:[0.5821, 0.437], qb:[0.4423, 0.7802], phi:[0.4396]] | [M:[[1, -7], [-1, -11], [0, 4], [-2, 2]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^6.016 + t^6.083 + t^6.114 + t^6.289 + t^6.305 + t^6.404 - t^6.435 + 2*t^6.578 + 2*t^6.594 + t^6.61 + t^6.693 + t^6.839 + t^6.868 + t^6.883 + t^6.982 + t^6.998 + t^7.014 + t^7.03 + 2*t^7.303 + t^7.319 + t^7.417 + t^7.449 + t^7.592 + t^7.608 + t^7.707 + t^7.723 + t^7.738 + t^7.754 + 2*t^7.881 + 2*t^7.897 + 2*t^7.913 + t^7.996 - t^8.028 + t^8.11 + t^8.142 + t^8.174 + 2*t^8.317 + t^8.333 - t^8.349 + t^8.431 + t^8.479 + 2*t^8.606 + t^8.622 - t^8.638 - t^8.654 + t^8.72 + t^8.752 + t^8.781 + t^8.797 + t^8.812 + t^8.828 + t^8.867 + t^8.895 + t^8.898 - 3*t^8.927 - 3*t^8.943 - t^8.959 - t^4.319/y - t^6.346/y - t^7.246/y - t^7.262/y + t^7.376/y + t^7.392/y + t^7.665/y + t^7.954/y + t^7.97/y + t^8.291/y - t^8.374/y + t^8.39/y + t^8.565/y + t^8.58/y + t^8.679/y + t^8.695/y + t^8.87/y + t^8.968/y + t^8.984/y - t^4.319*y - t^6.346*y - t^7.246*y - t^7.262*y + t^7.376*y + t^7.392*y + t^7.665*y + t^7.954*y + t^7.97*y + t^8.291*y - t^8.374*y + t^8.39*y + t^8.565*y + t^8.58*y + t^8.679*y + t^8.695*y + t^8.87*y + t^8.968*y + t^8.984*y | (g2^2*t^2.028)/g1^2 + t^2.638/g2^4 + t^2.927/(g1*g2^11) + (g1*t^2.943)/g2^7 + g2^4*t^3.362 + t^3.651/(g1*g2^3) + g1*g2*t^3.667 + t^3.941/(g1^2*g2^10) + t^3.957/g2^6 + (g2^4*t^4.055)/g1^4 + g2^12*t^4.087 + (g2^5*t^4.376)/g1 + g1*g2^9*t^4.392 + t^4.665/(g1^2*g2^2) + g2^20*t^4.811 + t^4.954/(g1^3*g2^9) + t^4.97/(g1*g2^5) + t^5.275/g2^8 + (g2^6*t^5.39)/g1^2 + t^5.679/(g1^3*g2) + (g2^3*t^5.695)/g1 + t^5.854/(g1^2*g2^22) + t^5.87/g2^18 + (g1^2*t^5.886)/g2^14 + t^5.968/(g1^4*g2^8) - 2*t^6. - g1^2*g2^4*t^6.016 + (g2^6*t^6.083)/g1^6 + (g2^14*t^6.114)/g1^2 + t^6.289/(g1*g2^7) + (g1*t^6.305)/g2^3 + (g2^7*t^6.404)/g1^3 - g1*g2^15*t^6.435 + (2*t^6.578)/(g1^2*g2^14) + (2*t^6.594)/g2^10 + (g1^2*t^6.61)/g2^6 + t^6.693/g1^4 + (g2^22*t^6.839)/g1^2 + t^6.868/(g1^3*g2^21) + t^6.883/(g1*g2^17) + t^6.982/(g1^5*g2^7) + t^6.998/(g1^3*g2^3) + (g2*t^7.014)/g1 + g1*g2^5*t^7.03 + (2*t^7.303)/(g1^2*g2^6) + t^7.319/g2^2 + (g2^8*t^7.417)/g1^4 + g2^16*t^7.449 + t^7.592/(g1^3*g2^13) + t^7.608/(g1*g2^9) + (g2*t^7.707)/g1^5 + (g2^5*t^7.723)/g1^3 + (g2^9*t^7.738)/g1 + g1*g2^13*t^7.754 + (2*t^7.881)/(g1^4*g2^20) + (2*t^7.897)/(g1^2*g2^16) + (2*t^7.913)/g2^12 + t^7.996/(g1^6*g2^6) - (g2^2*t^8.028)/g1^2 + (g2^8*t^8.11)/g1^8 + (g2^16*t^8.142)/g1^4 + g2^24*t^8.174 + (2*t^8.317)/(g1^3*g2^5) + t^8.333/(g1*g2) - g1*g2^3*t^8.349 + (g2^9*t^8.431)/g1^5 + g1*g2^21*t^8.479 + (2*t^8.606)/(g1^4*g2^12) + t^8.622/(g1^2*g2^8) - t^8.638/g2^4 - g1^2*t^8.654 + (g2^2*t^8.72)/g1^6 + (g2^10*t^8.752)/g1^2 + t^8.781/(g1^3*g2^33) + t^8.797/(g1*g2^29) + (g1*t^8.812)/g2^25 + (g1^3*t^8.828)/g2^21 + (g2^24*t^8.867)/g1^4 + t^8.895/(g1^5*g2^19) + g2^32*t^8.898 - (3*t^8.927)/(g1*g2^11) - (3*g1*t^8.943)/g2^7 - (g1^3*t^8.959)/g2^3 - t^4.319/(g2^2*y) - t^6.346/(g1^2*y) - t^7.246/(g1*g2^13*y) - (g1*t^7.262)/(g2^9*y) + (g2^5*t^7.376)/(g1*y) + (g1*g2^9*t^7.392)/y + t^7.665/(g1^2*g2^2*y) + t^7.954/(g1^3*g2^9*y) + t^7.97/(g1*g2^5*y) + (g1^2*t^8.291)/(g2^4*y) - (g2^2*t^8.374)/(g1^4*y) + (g2^6*t^8.39)/(g1^2*y) + t^8.565/(g1*g2^15*y) + (g1*t^8.58)/(g2^11*y) + t^8.679/(g1^3*g2*y) + (g2^3*t^8.695)/(g1*y) + t^8.87/(g2^18*y) + t^8.968/(g1^4*g2^8*y) + t^8.984/(g1^2*g2^4*y) - (t^4.319*y)/g2^2 - (t^6.346*y)/g1^2 - (t^7.246*y)/(g1*g2^13) - (g1*t^7.262*y)/g2^9 + (g2^5*t^7.376*y)/g1 + g1*g2^9*t^7.392*y + (t^7.665*y)/(g1^2*g2^2) + (t^7.954*y)/(g1^3*g2^9) + (t^7.97*y)/(g1*g2^5) + (g1^2*t^8.291*y)/g2^4 - (g2^2*t^8.374*y)/g1^4 + (g2^6*t^8.39*y)/g1^2 + (t^8.565*y)/(g1*g2^15) + (g1*t^8.58*y)/g2^11 + (t^8.679*y)/(g1^3*g2) + (g2^3*t^8.695*y)/g1 + (t^8.87*y)/g2^18 + (t^8.968*y)/(g1^4*g2^8) + (t^8.984*y)/(g1^2*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46699 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail | |
| 46533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail | |
| 46586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6911 | 0.8637 | 0.8002 | [M:[0.9807, 0.9807, 1.1197, 0.6795, 0.6795], q:[0.5791, 0.4402], qb:[0.4402, 0.7799], phi:[0.4402]] | 2*t^2.039 + t^2.641 + 2*t^2.942 + t^3.359 + 2*t^3.66 + t^3.961 + 4*t^4.077 + 2*t^4.378 + 2*t^4.68 + t^4.795 + 4*t^4.981 + t^5.282 + 2*t^5.398 + 4*t^5.699 + 3*t^5.884 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46770 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6312 | 0.7836 | 0.8055 | [M:[0.8193, 0.7807, 1.2, 0.7613], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | t^2.284 + t^2.342 + t^2.4 + t^2.458 + t^3.484 + t^3.542 + 2*t^3.6 + t^3.658 + t^4.568 + t^4.626 + 2*t^4.684 + 2*t^4.742 + 3*t^4.8 + t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 + t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*y | detail |