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 |
|---|---|---|---|---|---|---|---|---|---|
| 1475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7115 | 0.8866 | 0.8025 | [M:[1.0862, 0.7414, 0.8534, 0.9742, 1.0258, 0.8017], q:[0.5431, 0.3707], qb:[0.6035, 0.6552], phi:[0.4569]] | [M:[[-2], [6], [15], [-11], [11], [-7]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. + t^6.155 + 2*t^6.336 + t^6.517 + 3*t^6.672 + 3*t^6.853 + 2*t^7.008 + 3*t^7.035 + 5*t^7.19 + 3*t^7.216 + t^7.345 + 4*t^7.371 + t^7.397 + 4*t^7.526 + 3*t^7.552 + t^7.681 + 5*t^7.707 + 2*t^7.733 + 2*t^7.862 + 2*t^7.888 + t^7.914 + 5*t^8.043 + t^8.069 + t^8.198 + 3*t^8.379 - 2*t^8.405 + t^8.56 + t^8.715 - t^8.741 + 4*t^8.896 - 2*t^8.923 - t^4.371/y - t^6.595/y - t^6.776/y - t^6.931/y + t^7.629/y + t^7.784/y + t^7.81/y + (3*t^7.965)/y + (3*t^8.147)/y + (2*t^8.302)/y + t^8.328/y + (3*t^8.483)/y + t^8.638/y + (2*t^8.664)/y + (2*t^8.819)/y - t^4.371*y - t^6.595*y - t^6.776*y - t^6.931*y + t^7.629*y + t^7.784*y + t^7.81*y + 3*t^7.965*y + 3*t^8.147*y + 2*t^8.302*y + t^8.328*y + 3*t^8.483*y + t^8.638*y + 2*t^8.664*y + 2*t^8.819*y | g1^6*t^2.224 + t^2.405/g1^7 + g1^15*t^2.56 + g1^2*t^2.741 + t^2.923/g1^11 + g1^11*t^3.077 + t^3.259/g1^2 + g1^7*t^3.595 + g1^3*t^4.112 + t^4.293/g1^10 + 2*g1^12*t^4.448 + (2*t^4.629)/g1 + g1^21*t^4.784 + (2*t^4.81)/g1^14 + 3*g1^8*t^4.965 + t^4.992/g1^27 + g1^30*t^5.12 + (2*t^5.147)/g1^5 + 2*g1^17*t^5.302 + t^5.328/g1^18 + 3*g1^4*t^5.483 + g1^26*t^5.638 + t^5.664/g1^9 + 2*g1^13*t^5.819 - t^6. + g1^22*t^6.155 + 2*g1^9*t^6.336 + t^6.517/g1^4 + 3*g1^18*t^6.672 + 3*g1^5*t^6.853 + 2*g1^27*t^7.008 + (3*t^7.035)/g1^8 + 5*g1^14*t^7.19 + (3*t^7.216)/g1^21 + g1^36*t^7.345 + 4*g1*t^7.371 + t^7.397/g1^34 + 4*g1^23*t^7.526 + (3*t^7.552)/g1^12 + g1^45*t^7.681 + 5*g1^10*t^7.707 + (2*t^7.733)/g1^25 + 2*g1^32*t^7.862 + (2*t^7.888)/g1^3 + t^7.914/g1^38 + 5*g1^19*t^8.043 + t^8.069/g1^16 + g1^41*t^8.198 + 3*g1^28*t^8.379 - (2*t^8.405)/g1^7 + g1^15*t^8.56 + g1^37*t^8.715 - g1^2*t^8.741 + 4*g1^24*t^8.896 - (2*t^8.923)/g1^11 - (g1*t^4.371)/y - (g1^7*t^6.595)/y - t^6.776/(g1^6*y) - (g1^16*t^6.931)/y + t^7.629/(g1*y) + (g1^21*t^7.784)/y + t^7.81/(g1^14*y) + (3*g1^8*t^7.965)/y + (3*t^8.147)/(g1^5*y) + (2*g1^17*t^8.302)/y + t^8.328/(g1^18*y) + (3*g1^4*t^8.483)/y + (g1^26*t^8.638)/y + (2*t^8.664)/(g1^9*y) + (2*g1^13*t^8.819)/y - g1*t^4.371*y - g1^7*t^6.595*y - (t^6.776*y)/g1^6 - g1^16*t^6.931*y + (t^7.629*y)/g1 + g1^21*t^7.784*y + (t^7.81*y)/g1^14 + 3*g1^8*t^7.965*y + (3*t^8.147*y)/g1^5 + 2*g1^17*t^8.302*y + (t^8.328*y)/g1^18 + 3*g1^4*t^8.483*y + g1^26*t^8.638*y + (2*t^8.664*y)/g1^9 + 2*g1^13*t^8.819*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 |
|---|---|---|---|---|---|---|---|---|
| 2556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7194 | 0.9002 | 0.7992 | [M:[1.087, 0.739, 0.8475, 0.9785, 1.0215, 0.8045, 0.913], q:[0.5435, 0.3695], qb:[0.609, 0.652], phi:[0.4565]] | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 1723997/2396304, c: 1078525/1198152, M1: 1262/1161, M2: 286/387, M3: 328/387, M4: 1136/1161, M5: 1186/1161, M6: 934/1161, M7: 1060/1161, q1: 631/1161, q2: 143/387, qb1: 707/1161, qb2: 757/1161, phi1: 530/1161} |
| 2553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[1.0852, 0.7445, 0.8612, 0.9685, 1.0315, 0.7981, 1.2555], q:[0.5426, 0.3722], qb:[0.5962, 0.6593], phi:[0.4574]] | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. - t^4.372/y - t^4.372*y | detail | |
| 2552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail | |
| 2555 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.7151 | 0.8924 | 0.8013 | [M:[1.0817, 0.7548, 0.887, 0.9495, 1.0505, 0.7861, 0.9495], q:[0.5409, 0.3774], qb:[0.5721, 0.6731], phi:[0.4591]] | t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. - t^4.377/y - t^4.377*y | detail | |
| 2551 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[1.0882, 0.7354, 0.8386, 0.985, 1.015, 0.8086, 1.1914], q:[0.5441, 0.3677], qb:[0.6173, 0.6473], phi:[0.4559]] | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |