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 |
|---|---|---|---|---|---|---|---|---|---|
| 441 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | [M:[[-6], [-14], [6], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. + 2*t^6.085 + 2*t^6.17 + 2*t^6.254 + t^6.844 + 2*t^6.929 + 3*t^7.013 + 3*t^7.098 + 4*t^7.183 + 3*t^7.268 + 3*t^7.353 + t^7.438 + t^7.522 + t^7.607 + t^8.027 + t^8.112 + 2*t^8.196 + t^8.366 - t^8.451 + 2*t^8.536 + 3*t^8.621 + 3*t^8.705 - t^4.183/y - t^6.464/y - t^6.549/y - t^6.634/y + t^7.647/y + (3*t^7.732)/y + (3*t^7.817)/y + (2*t^7.902)/y + t^8.83/y + (2*t^8.915)/y - t^4.183*y - t^6.464*y - t^6.549*y - t^6.634*y + t^7.647*y + 3*t^7.732*y + 3*t^7.817*y + 2*t^7.902*y + t^8.83*y + 2*t^8.915*y | t^2.281/g1^14 + t^2.366/g1^4 + 2*g1^6*t^2.451 + t^3.464/g1^16 + t^3.549/g1^6 + g1^4*t^3.634 + g1^14*t^3.719 + g1^24*t^3.804 + t^4.562/g1^28 + t^4.647/g1^18 + (3*t^4.732)/g1^8 + 3*g1^2*t^4.817 + 3*g1^12*t^4.902 + t^5.746/g1^30 + t^5.83/g1^20 + (2*t^5.915)/g1^10 + t^6. + 2*g1^10*t^6.085 + 2*g1^20*t^6.17 + 2*g1^30*t^6.254 + t^6.844/g1^42 + (2*t^6.929)/g1^32 + (3*t^7.013)/g1^22 + (3*t^7.098)/g1^12 + (4*t^7.183)/g1^2 + 3*g1^8*t^7.268 + 3*g1^18*t^7.353 + g1^28*t^7.438 + g1^38*t^7.522 + g1^48*t^7.607 + t^8.027/g1^44 + t^8.112/g1^34 + (2*t^8.196)/g1^24 + t^8.366/g1^4 - g1^6*t^8.451 + 2*g1^16*t^8.536 + 3*g1^26*t^8.621 + 3*g1^36*t^8.705 - t^4.183/(g1^2*y) - t^6.464/(g1^16*y) - t^6.549/(g1^6*y) - (g1^4*t^6.634)/y + t^7.647/(g1^18*y) + (3*t^7.732)/(g1^8*y) + (3*g1^2*t^7.817)/y + (2*g1^12*t^7.902)/y + t^8.83/(g1^20*y) + (2*t^8.915)/(g1^10*y) - (t^4.183*y)/g1^2 - (t^6.464*y)/g1^16 - (t^6.549*y)/g1^6 - g1^4*t^6.634*y + (t^7.647*y)/g1^18 + (3*t^7.732*y)/g1^8 + 3*g1^2*t^7.817*y + 2*g1^12*t^7.902*y + (t^8.83*y)/g1^20 + (2*t^8.915*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 739 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6477 | 0.8091 | 0.8005 | [M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.312 + t^2.375 + 3*t^2.438 + t^3.499 + t^3.625 + t^3.688 + t^3.751 + t^4.624 + t^4.687 + 4*t^4.75 + 4*t^4.813 + 6*t^4.876 + t^5.811 + 2*t^5.937 - t^6. - t^4.187/y - t^4.187*y | detail | |
| 738 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{5}$ | 0.614 | 0.75 | 0.8186 | [M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | t^2.383 + 2*t^2.426 + t^3.531 + t^3.574 + t^3.617 + 2*t^3.66 + t^3.703 + t^4.766 + 3*t^4.809 + 3*t^4.851 + t^5.957 - t^4.191/y - t^4.191*y | detail | |
| 736 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ | 0.6168 | 0.7552 | 0.8167 | [M:[1.1785, 0.7498, 0.8215, 0.8215, 1.1785], q:[0.8036, 0.4467], qb:[0.3749, 0.8036], phi:[0.3928]] | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. - t^4.178/y - t^4.178*y | detail | |
| 740 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6493 | 0.8122 | 0.7994 | [M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]] | t^2.264 + 2*t^2.361 + 2*t^2.458 + t^3.444 + t^3.542 + t^3.736 + t^3.834 + t^4.527 + 2*t^4.625 + 5*t^4.722 + 5*t^4.819 + 3*t^4.917 + t^5.708 + 2*t^5.805 + 2*t^5.903 - t^4.181/y - t^4.181*y | detail | |
| 1848 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6522 | 0.82 | 0.7954 | [M:[1.177, 0.7464, 0.823, 0.823, 0.7082], q:[0.8038, 0.4497], qb:[0.3732, 0.8038], phi:[0.3923]] | t^2.125 + t^2.239 + t^2.354 + 2*t^2.469 + t^3.416 + t^3.531 + t^3.646 + t^3.761 + t^4.249 + t^4.364 + 2*t^4.479 + 3*t^4.593 + 3*t^4.708 + 3*t^4.823 + 3*t^4.938 + t^5.541 + 2*t^5.656 + 2*t^5.77 + 3*t^5.885 + t^6. - t^4.177/y - t^4.177*y | detail | |
| 737 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6467 | 0.8082 | 0.8002 | [M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | t^2.363 + t^2.389 + 2*t^2.416 + t^2.442 + t^3.584 + t^3.611 + t^3.637 + t^3.663 + t^4.726 + t^4.753 + 3*t^4.779 + 4*t^4.805 + 4*t^4.832 + 2*t^4.858 + t^4.884 + t^6. - t^4.195/y - t^4.195*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 |
|---|---|---|---|---|---|---|---|---|---|
| 269 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. - t^4.252/y - t^4.252*y | detail |