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 |
|---|---|---|---|---|---|---|---|---|---|
| 46980 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.7095 | 0.8749 | 0.811 | [M:[1.0, 0.8342, 0.9171, 1.0829, 0.9171], q:[0.5622, 0.4378], qb:[0.6036, 0.4793], phi:[0.4793]] | [M:[[0], [8], [4], [-4], [4]], q:[[-3], [3]], qb:[[-5], [1]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.503 + 2*t^2.751 + t^2.876 + t^3. + 2*t^3.124 + t^4.065 + t^4.189 + t^4.314 + t^4.438 + 2*t^4.562 + t^4.686 + t^4.811 + t^4.935 + t^5.005 + t^5.059 + 2*t^5.254 + t^5.378 + 3*t^5.503 + 2*t^5.627 + 2*t^5.751 + 3*t^5.876 - t^6. + t^6.249 - 2*t^6.373 - t^6.497 + t^6.568 + t^6.692 + 3*t^6.816 + 3*t^6.941 + 4*t^7.065 + 4*t^7.189 + 4*t^7.314 + 3*t^7.438 + t^7.508 + 3*t^7.562 + 2*t^7.686 + 2*t^7.757 + t^7.811 + t^7.881 + t^7.935 + 3*t^8.005 + 3*t^8.13 + 5*t^8.254 + 3*t^8.378 + 2*t^8.503 + 5*t^8.627 - 3*t^8.751 - t^8.876 - t^4.438/y - t^6.941/y - t^7.189/y - t^7.314/y + t^7.562/y + t^7.686/y + t^7.935/y + (2*t^8.254)/y + t^8.378/y + (2*t^8.503)/y + (4*t^8.627)/y + (2*t^8.751)/y + (5*t^8.876)/y - t^4.438*y - t^6.941*y - t^7.189*y - t^7.314*y + t^7.562*y + t^7.686*y + t^7.935*y + 2*t^8.254*y + t^8.378*y + 2*t^8.503*y + 4*t^8.627*y + 2*t^8.751*y + 5*t^8.876*y | g1^8*t^2.503 + 2*g1^4*t^2.751 + g1^2*t^2.876 + t^3. + (2*t^3.124)/g1^2 + g1^7*t^4.065 + g1^5*t^4.189 + g1^3*t^4.314 + g1*t^4.438 + (2*t^4.562)/g1 + t^4.686/g1^3 + t^4.811/g1^5 + t^4.935/g1^7 + g1^16*t^5.005 + t^5.059/g1^9 + 2*g1^12*t^5.254 + g1^10*t^5.378 + 3*g1^8*t^5.503 + 2*g1^6*t^5.627 + 2*g1^4*t^5.751 + 3*g1^2*t^5.876 - t^6. + t^6.249/g1^4 - (2*t^6.373)/g1^6 - t^6.497/g1^8 + g1^15*t^6.568 + g1^13*t^6.692 + 3*g1^11*t^6.816 + 3*g1^9*t^6.941 + 4*g1^7*t^7.065 + 4*g1^5*t^7.189 + 4*g1^3*t^7.314 + 3*g1*t^7.438 + g1^24*t^7.508 + (3*t^7.562)/g1 + (2*t^7.686)/g1^3 + 2*g1^20*t^7.757 + t^7.811/g1^5 + g1^18*t^7.881 + t^7.935/g1^7 + 3*g1^16*t^8.005 + 3*g1^14*t^8.13 + 5*g1^12*t^8.254 + 3*g1^10*t^8.378 + 2*g1^8*t^8.503 + 5*g1^6*t^8.627 - 3*g1^4*t^8.751 - g1^2*t^8.876 - (g1*t^4.438)/y - (g1^9*t^6.941)/y - (g1^5*t^7.189)/y - (g1^3*t^7.314)/y + t^7.562/(g1*y) + t^7.686/(g1^3*y) + t^7.935/(g1^7*y) + (2*g1^12*t^8.254)/y + (g1^10*t^8.378)/y + (2*g1^8*t^8.503)/y + (4*g1^6*t^8.627)/y + (2*g1^4*t^8.751)/y + (5*g1^2*t^8.876)/y - g1*t^4.438*y - g1^9*t^6.941*y - g1^5*t^7.189*y - g1^3*t^7.314*y + (t^7.562*y)/g1 + (t^7.686*y)/g1^3 + (t^7.935*y)/g1^7 + 2*g1^12*t^8.254*y + g1^10*t^8.378*y + 2*g1^8*t^8.503*y + 4*g1^6*t^8.627*y + 2*g1^4*t^8.751*y + 5*g1^2*t^8.876*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 |
|---|---|---|---|---|---|---|---|---|
| 55172 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6975 | 0.853 | 0.8178 | [M:[1.0, 0.8973, 0.9486, 1.0514, 0.9486, 1.1027], q:[0.5385, 0.4615], qb:[0.5642, 0.4872], phi:[0.4872]] | 2*t^2.846 + t^2.923 + t^3. + 2*t^3.077 + t^3.308 + t^4.23 + t^4.307 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.693 + t^4.77 + t^4.847 + 2*t^5.692 + 2*t^5.846 + 3*t^5.923 - t^6. - t^4.461/y - t^4.461*y | detail | |
| 55109 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7059 | 0.8679 | 0.8133 | [M:[1.0, 0.8511, 0.9256, 1.0744, 0.9256, 1.0372], q:[0.5558, 0.4442], qb:[0.5931, 0.4814], phi:[0.4814]] | t^2.553 + 2*t^2.777 + t^3. + 3*t^3.112 + t^4.109 + t^4.221 + t^4.332 + t^4.444 + 2*t^4.556 + t^4.668 + t^4.779 + t^4.891 + t^5.003 + t^5.107 + 2*t^5.33 + 3*t^5.553 + t^5.665 + t^5.777 + 4*t^5.888 - 3*t^6. - t^4.444/y - t^4.444*y | detail | |
| 55114 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.635 | 0.7878 | 0.8061 | [X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222, 0.7778], q:[0.6667, 0.3333], qb:[0.7778, 0.4444], phi:[0.4444]] | 2*t^2.333 + t^2.667 + t^3. + 3*t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + t^5. + 3*t^5.333 + 6*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 823/1296, c: 1021/1296, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, M5: 7/9, q1: 2/3, q2: 1/3, qb1: 7/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | t^2.602 + t^2.801 + t^2.9 + t^3. + 2*t^3.1 + t^3.199 + t^4.152 + t^4.251 + t^4.351 + t^4.45 + 2*t^4.55 + t^4.649 + t^4.749 + t^4.848 + t^4.948 + t^5.204 + t^5.403 + t^5.502 + t^5.602 + t^5.701 + 2*t^5.801 + t^5.9 - t^4.45/y - t^4.45*y | detail |