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 |
|---|---|---|---|---|---|---|---|---|---|
| 2664 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.669 | 0.8291 | 0.8069 | [M:[0.9737, 0.7807, 0.9255, 0.829, 1.171, 0.7324, 1.2193], q:[0.6359, 0.3903], qb:[0.4386, 0.7807], phi:[0.4386]] | [M:[[-18], [2], [-13], [-3], [3], [7], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.197 + t^2.487 + t^2.632 + t^2.776 + t^2.921 + t^3.513 + 2*t^3.658 + t^3.947 + t^4.25 + 2*t^4.395 + t^4.539 + t^4.684 + t^4.829 + 2*t^4.974 + 2*t^5.118 + t^5.131 + t^5.263 + t^5.408 + 2*t^5.553 + t^5.698 + t^5.71 + t^5.842 + t^5.855 - 2*t^6. + 2*t^6.145 + 2*t^6.29 + 3*t^6.434 + t^6.447 + 2*t^6.579 + t^6.592 + t^6.869 + t^6.882 + 2*t^7.026 + 4*t^7.171 + 3*t^7.316 + t^7.329 + 2*t^7.461 + 3*t^7.605 + 3*t^7.75 + t^7.763 + 3*t^7.895 + 2*t^7.908 + 2*t^8.04 + 2*t^8.053 + 2*t^8.184 - 2*t^8.197 + 2*t^8.329 + 2*t^8.474 + t^8.619 + 2*t^8.645 + t^8.764 - t^8.776 + 3*t^8.789 - t^8.921 - t^8.934 - t^4.316/y - t^6.513/y - t^6.947/y - t^7.092/y - t^7.237/y + t^7.395/y + t^7.539/y + (2*t^7.684)/y + t^7.829/y + t^7.974/y + (3*t^8.118)/y + t^8.263/y + (2*t^8.408)/y + t^8.553/y + t^8.698/y + (2*t^8.855)/y - t^4.316*y - t^6.513*y - t^6.947*y - t^7.092*y - t^7.237*y + t^7.395*y + t^7.539*y + 2*t^7.684*y + t^7.829*y + t^7.974*y + 3*t^8.118*y + t^8.263*y + 2*t^8.408*y + t^8.553*y + t^8.698*y + 2*t^8.855*y | g1^7*t^2.197 + t^2.487/g1^3 + t^2.632/g1^8 + t^2.776/g1^13 + t^2.921/g1^18 + g1^3*t^3.513 + (2*t^3.658)/g1^2 + t^3.947/g1^12 + g1^19*t^4.25 + 2*g1^14*t^4.395 + g1^9*t^4.539 + g1^4*t^4.684 + t^4.829/g1 + (2*t^4.974)/g1^6 + (2*t^5.118)/g1^11 + g1^30*t^5.131 + t^5.263/g1^16 + t^5.408/g1^21 + (2*t^5.553)/g1^26 + t^5.698/g1^31 + g1^10*t^5.71 + t^5.842/g1^36 + g1^5*t^5.855 - 2*t^6. + (2*t^6.145)/g1^5 + (2*t^6.29)/g1^10 + (3*t^6.434)/g1^15 + g1^26*t^6.447 + (2*t^6.579)/g1^20 + g1^21*t^6.592 + t^6.869/g1^30 + g1^11*t^6.882 + 2*g1^6*t^7.026 + 4*g1*t^7.171 + (3*t^7.316)/g1^4 + g1^37*t^7.329 + (2*t^7.461)/g1^9 + (3*t^7.605)/g1^14 + (3*t^7.75)/g1^19 + g1^22*t^7.763 + (3*t^7.895)/g1^24 + 2*g1^17*t^7.908 + (2*t^8.04)/g1^29 + 2*g1^12*t^8.053 + (2*t^8.184)/g1^34 - 2*g1^7*t^8.197 + (2*t^8.329)/g1^39 + (2*t^8.474)/g1^44 + t^8.619/g1^49 + 2*g1^33*t^8.645 + t^8.764/g1^54 - t^8.776/g1^13 + 3*g1^28*t^8.789 - t^8.921/g1^18 - g1^23*t^8.934 - t^4.316/(g1^4*y) - (g1^3*t^6.513)/y - t^6.947/(g1^12*y) - t^7.092/(g1^17*y) - t^7.237/(g1^22*y) + (g1^14*t^7.395)/y + (g1^9*t^7.539)/y + (2*g1^4*t^7.684)/y + t^7.829/(g1*y) + t^7.974/(g1^6*y) + (3*t^8.118)/(g1^11*y) + t^8.263/(g1^16*y) + (2*t^8.408)/(g1^21*y) + t^8.553/(g1^26*y) + t^8.698/(g1^31*y) + (2*g1^5*t^8.855)/y - (t^4.316*y)/g1^4 - g1^3*t^6.513*y - (t^6.947*y)/g1^12 - (t^7.092*y)/g1^17 - (t^7.237*y)/g1^22 + g1^14*t^7.395*y + g1^9*t^7.539*y + 2*g1^4*t^7.684*y + (t^7.829*y)/g1 + (t^7.974*y)/g1^6 + (3*t^8.118*y)/g1^11 + (t^8.263*y)/g1^16 + (2*t^8.408*y)/g1^21 + (t^8.553*y)/g1^26 + (t^8.698*y)/g1^31 + 2*g1^5*t^8.855*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 |
|---|---|---|---|---|---|---|---|---|
| 4827 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6636 | 0.8203 | 0.8089 | [M:[1.0171, 0.7759, 0.9568, 0.8362, 1.1638, 0.7156, 1.2241, 1.0432], q:[0.595, 0.3879], qb:[0.4482, 0.7759], phi:[0.4482]] | t^2.147 + t^2.509 + t^2.689 + t^3.051 + t^3.13 + t^3.491 + 2*t^3.672 + t^4.034 + t^4.113 + 2*t^4.293 + t^4.474 + t^4.655 + t^4.836 + t^4.915 + t^5.017 + 2*t^5.198 + t^5.276 + 2*t^5.638 + t^5.741 + 2*t^5.819 - 2*t^6. - t^4.345/y - t^4.345*y | detail | |
| 4828 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6837 | 0.8547 | 0.8 | [M:[0.9662, 0.7815, 0.92, 0.8277, 1.1723, 0.7354, 1.2185, 0.8277], q:[0.643, 0.3908], qb:[0.4369, 0.7815], phi:[0.4369]] | t^2.206 + 2*t^2.483 + t^2.622 + t^2.76 + t^2.899 + 2*t^3.655 + t^3.932 + t^4.274 + 2*t^4.412 + t^4.551 + 2*t^4.689 + t^4.828 + 4*t^4.966 + 3*t^5.105 + t^5.169 + 2*t^5.243 + 2*t^5.382 + 2*t^5.52 + t^5.659 + t^5.797 + t^5.862 - 3*t^6. - t^4.311/y - t^4.311*y | detail | |
| 4826 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6585 | 0.8112 | 0.8117 | [M:[0.9979, 0.778, 0.9429, 0.833, 1.167, 0.723, 1.222, 1.1121], q:[0.6131, 0.389], qb:[0.444, 0.778], phi:[0.444]] | t^2.169 + t^2.499 + t^2.829 + t^2.994 + t^3.336 + t^3.501 + 2*t^3.666 + t^3.996 + t^4.173 + 2*t^4.338 + t^4.503 + t^4.668 + 2*t^4.998 + t^5.011 + t^5.163 + t^5.505 + t^5.657 + t^5.67 + t^5.822 + 2*t^5.835 + t^5.987 - 2*t^6. - t^4.332/y - t^4.332*y | detail | |
| 4820 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4166 | 0.4956 | 0.8407 | [X:[1.5789, 1.4737, 1.3684], M:[0.4211, 0.8421, 0.5263, 0.7368, 1.2632, 0.9474, 1.1579], q:[1.1579, 0.4211], qb:[0.3158, 0.8421], phi:[0.3158]] | t^2.211 + 2*t^2.842 + t^3.474 + t^4.105 + t^4.421 + 2*t^5.053 + 3*t^5.684 - 2*t^6. - t^3.947/y - t^3.947*y | detail | {a: 5715/13718, c: 3399/6859, X1: 30/19, X2: 28/19, X3: 26/19, M1: 8/19, M2: 16/19, M3: 10/19, M4: 14/19, M5: 24/19, M6: 18/19, M7: 22/19, q1: 22/19, q2: 8/19, qb1: 6/19, qb2: 16/19, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6866 | 0.8604 | 0.798 | [M:[0.9776, 0.7803, 0.9283, 0.8296, 1.1704, 0.7309], q:[0.6323, 0.3901], qb:[0.4395, 0.7803], phi:[0.4395]] | t^2.193 + t^2.341 + t^2.489 + t^2.637 + t^2.785 + t^2.933 + t^3.511 + t^3.659 + t^3.955 + t^4.238 + 2*t^4.386 + 2*t^4.534 + 2*t^4.682 + 2*t^4.83 + 3*t^4.978 + t^5.112 + 3*t^5.126 + 2*t^5.274 + t^5.422 + 2*t^5.57 + t^5.704 + t^5.718 + t^5.852 + t^5.866 - t^6. - t^4.318/y - t^4.318*y | detail |