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 |
|---|---|---|---|---|---|---|---|---|---|
| 3315 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6303 | 0.8264 | 0.7627 | [M:[0.954, 1.138, 0.954, 0.862, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]] | [M:[[4], [-12], [4], [12], [-18], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.078 + t^2.121 + t^2.353 + 2*t^2.586 + 2*t^2.862 + t^3.371 + 2*t^3.647 + t^3.922 + 2*t^4.155 + t^4.198 + t^4.242 + 2*t^4.431 + t^4.474 + 2*t^4.664 + 3*t^4.707 + 4*t^4.94 + 2*t^4.983 + 3*t^5.172 + 2*t^5.216 + 5*t^5.448 + 4*t^5.724 + t^5.767 + 2*t^5.957 - t^6. + t^6.043 + 6*t^6.233 + t^6.319 + t^6.363 + 5*t^6.509 + 2*t^6.552 + t^6.595 + 4*t^6.741 + 2*t^6.784 + 3*t^6.828 + 8*t^7.017 + 2*t^7.06 + 2*t^7.104 + 3*t^7.25 + 7*t^7.293 + t^7.336 + 8*t^7.526 + 3*t^7.569 + 4*t^7.758 + 7*t^7.802 + t^7.845 + t^7.888 + 8*t^8.034 + t^8.078 - 2*t^8.121 + t^8.164 + 10*t^8.31 - t^8.353 + t^8.44 + t^8.483 + 3*t^8.543 + 2*t^8.586 + t^8.629 + 2*t^8.673 + t^8.716 + 10*t^8.819 - 5*t^8.862 + 2*t^8.905 + 3*t^8.949 - t^4.569/y - t^6.69/y - t^7.155/y + t^7.198/y + t^7.474/y + (2*t^7.664)/y + (3*t^7.707)/y + (4*t^7.94)/y + (3*t^7.983)/y + t^8.172/y + (2*t^8.216)/y + (6*t^8.448)/y + t^8.491/y + (4*t^8.724)/y + (2*t^8.767)/y - t^8.811/y + (2*t^8.957)/y - t^4.569*y - t^6.69*y - t^7.155*y + t^7.198*y + t^7.474*y + 2*t^7.664*y + 3*t^7.707*y + 4*t^7.94*y + 3*t^7.983*y + t^8.172*y + 2*t^8.216*y + 6*t^8.448*y + t^8.491*y + 4*t^8.724*y + 2*t^8.767*y - t^8.811*y + 2*t^8.957*y | g1^5*t^2.078 + t^2.121/g1^18 + t^2.353/g1^3 + 2*g1^12*t^2.586 + 2*g1^4*t^2.862 + g1^11*t^3.371 + 2*g1^3*t^3.647 + t^3.922/g1^5 + 2*g1^10*t^4.155 + t^4.198/g1^13 + t^4.242/g1^36 + 2*g1^2*t^4.431 + t^4.474/g1^21 + 2*g1^17*t^4.664 + (3*t^4.707)/g1^6 + 4*g1^9*t^4.94 + (2*t^4.983)/g1^14 + 3*g1^24*t^5.172 + 2*g1*t^5.216 + 5*g1^16*t^5.448 + 4*g1^8*t^5.724 + t^5.767/g1^15 + 2*g1^23*t^5.957 - t^6. + t^6.043/g1^23 + 6*g1^15*t^6.233 + t^6.319/g1^31 + t^6.363/g1^54 + 5*g1^7*t^6.509 + (2*t^6.552)/g1^16 + t^6.595/g1^39 + 4*g1^22*t^6.741 + (2*t^6.784)/g1 + (3*t^6.828)/g1^24 + 8*g1^14*t^7.017 + (2*t^7.06)/g1^9 + (2*t^7.104)/g1^32 + 3*g1^29*t^7.25 + 7*g1^6*t^7.293 + t^7.336/g1^17 + 8*g1^21*t^7.526 + (3*t^7.569)/g1^2 + 4*g1^36*t^7.758 + 7*g1^13*t^7.802 + t^7.845/g1^10 + t^7.888/g1^33 + 8*g1^28*t^8.034 + g1^5*t^8.078 - (2*t^8.121)/g1^18 + t^8.164/g1^41 + 10*g1^20*t^8.31 - t^8.353/g1^3 + t^8.44/g1^49 + t^8.483/g1^72 + 3*g1^35*t^8.543 + 2*g1^12*t^8.586 + t^8.629/g1^11 + (2*t^8.673)/g1^34 + t^8.716/g1^57 + 10*g1^27*t^8.819 - 5*g1^4*t^8.862 + (2*t^8.905)/g1^19 + (3*t^8.949)/g1^42 - t^4.569/(g1^2*y) - t^6.69/(g1^20*y) - (g1^10*t^7.155)/y + t^7.198/(g1^13*y) + t^7.474/(g1^21*y) + (2*g1^17*t^7.664)/y + (3*t^7.707)/(g1^6*y) + (4*g1^9*t^7.94)/y + (3*t^7.983)/(g1^14*y) + (g1^24*t^8.172)/y + (2*g1*t^8.216)/y + (6*g1^16*t^8.448)/y + t^8.491/(g1^7*y) + (4*g1^8*t^8.724)/y + (2*t^8.767)/(g1^15*y) - t^8.811/(g1^38*y) + (2*g1^23*t^8.957)/y - (t^4.569*y)/g1^2 - (t^6.69*y)/g1^20 - g1^10*t^7.155*y + (t^7.198*y)/g1^13 + (t^7.474*y)/g1^21 + 2*g1^17*t^7.664*y + (3*t^7.707*y)/g1^6 + 4*g1^9*t^7.94*y + (3*t^7.983*y)/g1^14 + g1^24*t^8.172*y + 2*g1*t^8.216*y + 6*g1^16*t^8.448*y + (t^8.491*y)/g1^7 + 4*g1^8*t^8.724*y + (2*t^8.767*y)/g1^15 - (t^8.811*y)/g1^38 + 2*g1^23*t^8.957*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 |
|---|---|---|---|---|---|---|---|---|
| 3754 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6262 | 0.819 | 0.7645 | [M:[0.9571, 1.1288, 0.9571, 0.8712, 0.6932, 0.8712, 1.0429], q:[0.7393, 0.3037], qb:[0.4785, 0.3927], phi:[0.5215]] | t^2.079 + t^2.089 + t^2.347 + 2*t^2.614 + t^2.871 + t^3.129 + t^3.396 + 2*t^3.653 + t^3.911 + t^4.159 + t^4.169 + 2*t^4.178 + t^4.426 + 2*t^4.436 + 3*t^4.693 + 2*t^4.703 + t^4.951 + 3*t^4.96 + t^5.208 + 2*t^5.218 + 3*t^5.227 + t^5.475 + 3*t^5.485 + t^5.733 + 4*t^5.742 + t^5.99 - t^4.564/y - t^4.564*y | detail | |
| 3756 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6477 | 0.8571 | 0.7557 | [M:[0.9554, 1.1339, 0.9554, 0.8661, 0.7009, 0.8661, 0.7835], q:[0.7388, 0.3058], qb:[0.4777, 0.3884], phi:[0.5223]] | t^2.083 + t^2.103 + 2*t^2.35 + 2*t^2.598 + 2*t^2.866 + t^3.382 + t^3.65 + t^3.917 + 2*t^4.165 + t^4.185 + t^4.205 + 3*t^4.433 + 2*t^4.453 + 2*t^4.681 + 5*t^4.701 + 6*t^4.949 + 2*t^4.969 + 3*t^5.197 + 4*t^5.217 + 5*t^5.464 + 4*t^5.732 + 2*t^5.98 - t^6. - t^4.567/y - t^4.567*y | detail | |
| 3755 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6422 | 0.8459 | 0.7591 | [M:[0.961, 1.117, 0.961, 0.883, 0.6756, 0.883, 0.8573], q:[0.7402, 0.2988], qb:[0.4805, 0.4025], phi:[0.5195]] | t^2.027 + t^2.104 + t^2.338 + t^2.572 + 2*t^2.649 + 2*t^2.883 + 2*t^3.662 + t^3.896 + t^4.053 + t^4.13 + 2*t^4.207 + t^4.365 + 2*t^4.441 + t^4.599 + 4*t^4.676 + 2*t^4.753 + 3*t^4.91 + 4*t^4.987 + t^5.144 + 4*t^5.221 + 3*t^5.298 + t^5.455 + 4*t^5.532 + t^5.689 + 3*t^5.766 + t^5.923 - t^6. - t^4.559/y - t^4.559*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6191 | 0.8066 | 0.7675 | [M:[0.9622, 1.1133, 0.9622, 0.8867, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]] | t^2.01 + t^2.108 + t^2.335 + t^2.66 + 2*t^2.887 + t^3.34 + t^3.438 + 2*t^3.665 + t^3.892 + t^4.02 + t^4.118 + 2*t^4.217 + t^4.345 + 2*t^4.443 + 2*t^4.67 + t^4.769 + 2*t^4.896 + 3*t^4.995 + 2*t^5.222 + t^5.32 + t^5.35 + t^5.448 + 3*t^5.547 + 2*t^5.675 + 4*t^5.773 + t^5.901 - t^4.557/y - t^4.557*y | detail |