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 |
|---|---|---|---|---|---|---|---|---|---|
| 2677 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ | 0.7018 | 0.8633 | 0.8129 | [M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]] | [M:[[-8], [4], [0], [-4], [4], [-4], [-4]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -4 | t^2.713 + 3*t^2.856 + t^2.928 + t^3. + t^3.287 + t^4.034 + 2*t^4.321 + t^4.464 + 3*t^4.608 + 2*t^4.751 + t^4.895 + t^5.426 + 2*t^5.569 + t^5.641 + 5*t^5.713 + 3*t^5.785 + 2*t^5.856 + t^5.928 - 4*t^6. + t^6.215 - t^6.287 - t^6.431 + t^6.574 + t^6.747 + 3*t^6.89 + t^6.962 + 2*t^7.034 - t^7.105 + 4*t^7.177 + 2*t^7.249 + 5*t^7.321 - t^7.392 + 5*t^7.464 + 2*t^7.536 + 5*t^7.608 - t^7.679 + 2*t^7.751 - t^7.823 + t^7.895 - t^7.966 + t^8.038 + t^8.067 + t^8.139 + t^8.182 + 2*t^8.282 + 3*t^8.354 + 2*t^8.426 + 3*t^8.498 + 6*t^8.569 + 8*t^8.641 + 4*t^8.785 - 12*t^8.856 + t^8.928 - t^4.464/y - t^7.177/y - t^7.321/y - t^7.392/y + t^7.536/y + t^7.608/y + t^7.751/y + (3*t^8.569)/y + t^8.641/y + (4*t^8.713)/y + (3*t^8.785)/y + (3*t^8.856)/y + t^8.928/y - t^4.464*y - t^7.177*y - t^7.321*y - t^7.392*y + t^7.536*y + t^7.608*y + t^7.751*y + 3*t^8.569*y + t^8.641*y + 4*t^8.713*y + 3*t^8.785*y + 3*t^8.856*y + t^8.928*y | t^2.713/g1^8 + (3*t^2.856)/g1^4 + t^2.928/g1^2 + t^3. + g1^8*t^3.287 + t^4.034/g1^13 + (2*t^4.321)/g1^5 + t^4.464/g1 + 3*g1^3*t^4.608 + 2*g1^7*t^4.751 + g1^11*t^4.895 + t^5.426/g1^16 + (2*t^5.569)/g1^12 + t^5.641/g1^10 + (5*t^5.713)/g1^8 + (3*t^5.785)/g1^6 + (2*t^5.856)/g1^4 + t^5.928/g1^2 - 4*t^6. + g1^6*t^6.215 - g1^8*t^6.287 - g1^12*t^6.431 + g1^16*t^6.574 + t^6.747/g1^21 + (3*t^6.89)/g1^17 + t^6.962/g1^15 + (2*t^7.034)/g1^13 - t^7.105/g1^11 + (4*t^7.177)/g1^9 + (2*t^7.249)/g1^7 + (5*t^7.321)/g1^5 - t^7.392/g1^3 + (5*t^7.464)/g1 + 2*g1*t^7.536 + 5*g1^3*t^7.608 - g1^5*t^7.679 + 2*g1^7*t^7.751 - g1^9*t^7.823 + g1^11*t^7.895 - g1^13*t^7.966 + g1^15*t^8.038 + t^8.067/g1^26 + t^8.139/g1^24 + g1^19*t^8.182 + (2*t^8.282)/g1^20 + (3*t^8.354)/g1^18 + (2*t^8.426)/g1^16 + (3*t^8.498)/g1^14 + (6*t^8.569)/g1^12 + (8*t^8.641)/g1^10 + (4*t^8.785)/g1^6 - (12*t^8.856)/g1^4 + t^8.928/g1^2 - t^4.464/(g1*y) - t^7.177/(g1^9*y) - t^7.321/(g1^5*y) - t^7.392/(g1^3*y) + (g1*t^7.536)/y + (g1^3*t^7.608)/y + (g1^7*t^7.751)/y + (3*t^8.569)/(g1^12*y) + t^8.641/(g1^10*y) + (4*t^8.713)/(g1^8*y) + (3*t^8.785)/(g1^6*y) + (3*t^8.856)/(g1^4*y) + t^8.928/(g1^2*y) - (t^4.464*y)/g1 - (t^7.177*y)/g1^9 - (t^7.321*y)/g1^5 - (t^7.392*y)/g1^3 + g1*t^7.536*y + g1^3*t^7.608*y + g1^7*t^7.751*y + (3*t^8.569*y)/g1^12 + (t^8.641*y)/g1^10 + (4*t^8.713*y)/g1^8 + (3*t^8.785*y)/g1^6 + (3*t^8.856*y)/g1^4 + (t^8.928*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4835 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6996 | 0.8592 | 0.8143 | [M:[0.9144, 1.0428, 1.0, 0.9572, 1.0428, 0.9572, 0.9572, 1.0214], q:[0.5642, 0.5214], qb:[0.4358, 0.5214], phi:[0.4893]] | t^2.743 + 3*t^2.872 + t^3. + t^3.064 + t^3.257 + t^4.083 + 2*t^4.34 + t^4.468 + 3*t^4.596 + 2*t^4.725 + t^4.853 + t^5.486 + 2*t^5.615 + 5*t^5.743 + t^5.807 + t^5.872 + 3*t^5.936 - 4*t^6. - t^4.468/y - t^4.468*y | detail | |
| 4836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.712 | 0.8834 | 0.8059 | [M:[0.8705, 1.0648, 1.0, 0.9352, 1.0648, 0.9352, 0.9352, 0.8705], q:[0.5971, 0.5324], qb:[0.4029, 0.5324], phi:[0.4838]] | 2*t^2.611 + 3*t^2.806 + t^2.903 + t^3. + t^3.869 + 2*t^4.257 + t^4.451 + 3*t^4.646 + 2*t^4.84 + t^5.034 + 3*t^5.223 + 5*t^5.417 + 2*t^5.514 + 6*t^5.611 + 3*t^5.709 + 2*t^5.806 + t^5.903 - 5*t^6. - t^4.451/y - t^4.451*y | detail | |
| 4856 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}X_{1}$ | 0.5921 | 0.7455 | 0.7942 | [X:[1.3636], M:[0.6364, 1.1818, 1.0, 0.8182, 1.1818, 0.8182, 0.8182], q:[0.7727, 0.5909], qb:[0.2273, 0.5909], phi:[0.4545]] | 3*t^2.455 + 2*t^2.727 + t^3. + 2*t^3.818 + 2*t^4.091 + 7*t^4.909 + 6*t^5.182 + 6*t^5.455 + t^5.727 - 5*t^6. - t^4.364/y - t^4.364*y | detail | {a: 12609/21296, c: 3969/5324, X1: 15/11, M1: 7/11, M2: 13/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 9/11, q1: 17/22, q2: 13/22, qb1: 5/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1565 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ | 0.6978 | 0.8558 | 0.8154 | [M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 0.5189], phi:[0.4906]] | t^2.773 + 2*t^2.887 + t^2.943 + t^3. + t^3.113 + t^3.227 + t^4.131 + 2*t^4.358 + t^4.472 + 3*t^4.585 + 2*t^4.698 + t^4.812 + t^5.546 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + t^5.943 - 2*t^6. - t^4.472/y - t^4.472*y | detail |