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 |
|---|---|---|---|---|---|---|---|---|---|
| 3338 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7071 | 0.9046 | 0.7817 | [M:[1.0, 0.8398, 1.1602, 0.6797, 0.7598, 0.7002], q:[0.4497, 0.5503], qb:[0.3901, 0.77], phi:[0.46]] | [M:[[0], [-8], [8], [-16], [-12], [10]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.039 + t^2.101 + t^2.279 + t^2.52 + t^2.76 + t^2.821 + t^3. + t^3.48 + t^3.659 + 2*t^4.078 + t^4.14 + 2*t^4.201 + t^4.318 + 2*t^4.38 + 2*t^4.559 + t^4.62 + t^4.682 + 2*t^4.799 + 2*t^4.86 + t^4.922 + 3*t^5.039 + 2*t^5.101 + 2*t^5.279 + t^5.341 + 2*t^5.52 + 2*t^5.581 + t^5.642 + 3*t^5.76 + t^5.939 - t^6. + 2*t^6.117 + 2*t^6.179 + 2*t^6.24 + 2*t^6.302 + 2*t^6.358 + 2*t^6.419 + 3*t^6.48 + 3*t^6.598 + 3*t^6.659 + t^6.721 + t^6.782 + 4*t^6.838 + 3*t^6.899 + 3*t^6.961 + 2*t^7.022 + 4*t^7.078 + 4*t^7.14 + 3*t^7.201 + 4*t^7.318 + 2*t^7.38 + t^7.441 + t^7.503 + 4*t^7.559 + 3*t^7.62 + 3*t^7.682 + t^7.737 + t^7.743 + 3*t^7.799 + 4*t^7.86 + 3*t^8.039 - 2*t^8.101 + 3*t^8.156 + t^8.162 + 2*t^8.218 + 2*t^8.279 + 2*t^8.341 + 2*t^8.397 + 3*t^8.402 + 3*t^8.458 + t^8.464 + t^8.52 + 2*t^8.581 + 4*t^8.637 + 4*t^8.698 + 3*t^8.76 - 2*t^8.821 + 5*t^8.877 + 2*t^8.883 + 5*t^8.939 - t^4.38/y - t^6.419/y - t^6.48/y - t^6.659/y + t^7.318/y + t^7.38/y + t^7.559/y + (2*t^7.62)/y + (2*t^7.799)/y + (2*t^7.86)/y + t^7.922/y + (2*t^8.039)/y + (3*t^8.101)/y + (3*t^8.279)/y + (2*t^8.341)/y - t^8.458/y + t^8.52/y + t^8.581/y + (2*t^8.76)/y + t^8.821/y - t^4.38*y - t^6.419*y - t^6.48*y - t^6.659*y + t^7.318*y + t^7.38*y + t^7.559*y + 2*t^7.62*y + 2*t^7.799*y + 2*t^7.86*y + t^7.922*y + 2*t^8.039*y + 3*t^8.101*y + 3*t^8.279*y + 2*t^8.341*y - t^8.458*y + t^8.52*y + t^8.581*y + 2*t^8.76*y + t^8.821*y | t^2.039/g1^16 + g1^10*t^2.101 + t^2.279/g1^12 + t^2.52/g1^8 + t^2.76/g1^4 + g1^22*t^2.821 + t^3. + g1^8*t^3.48 + t^3.659/g1^14 + (2*t^4.078)/g1^32 + t^4.14/g1^6 + 2*g1^20*t^4.201 + t^4.318/g1^28 + (2*t^4.38)/g1^2 + (2*t^4.559)/g1^24 + g1^2*t^4.62 + g1^28*t^4.682 + (2*t^4.799)/g1^20 + 2*g1^6*t^4.86 + g1^32*t^4.922 + (3*t^5.039)/g1^16 + 2*g1^10*t^5.101 + (2*t^5.279)/g1^12 + g1^14*t^5.341 + (2*t^5.52)/g1^8 + 2*g1^18*t^5.581 + g1^44*t^5.642 + (3*t^5.76)/g1^4 + t^5.939/g1^26 - t^6. + (2*t^6.117)/g1^48 + (2*t^6.179)/g1^22 + 2*g1^4*t^6.24 + 2*g1^30*t^6.302 + (2*t^6.358)/g1^44 + (2*t^6.419)/g1^18 + 3*g1^8*t^6.48 + (3*t^6.598)/g1^40 + (3*t^6.659)/g1^14 + g1^12*t^6.721 + g1^38*t^6.782 + (4*t^6.838)/g1^36 + (3*t^6.899)/g1^10 + 3*g1^16*t^6.961 + 2*g1^42*t^7.022 + (4*t^7.078)/g1^32 + (4*t^7.14)/g1^6 + 3*g1^20*t^7.201 + (4*t^7.318)/g1^28 + (2*t^7.38)/g1^2 + g1^24*t^7.441 + g1^50*t^7.503 + (4*t^7.559)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.682 + t^7.737/g1^46 + g1^54*t^7.743 + (3*t^7.799)/g1^20 + 4*g1^6*t^7.86 + (3*t^8.039)/g1^16 - 2*g1^10*t^8.101 + (3*t^8.156)/g1^64 + g1^36*t^8.162 + (2*t^8.218)/g1^38 + (2*t^8.279)/g1^12 + 2*g1^14*t^8.341 + (2*t^8.397)/g1^60 + 3*g1^40*t^8.402 + (3*t^8.458)/g1^34 + g1^66*t^8.464 + t^8.52/g1^8 + 2*g1^18*t^8.581 + (4*t^8.637)/g1^56 + (4*t^8.698)/g1^30 + (3*t^8.76)/g1^4 - 2*g1^22*t^8.821 + (5*t^8.877)/g1^52 + 2*g1^48*t^8.883 + (5*t^8.939)/g1^26 - t^4.38/(g1^2*y) - t^6.419/(g1^18*y) - (g1^8*t^6.48)/y - t^6.659/(g1^14*y) + t^7.318/(g1^28*y) + t^7.38/(g1^2*y) + t^7.559/(g1^24*y) + (2*g1^2*t^7.62)/y + (2*t^7.799)/(g1^20*y) + (2*g1^6*t^7.86)/y + (g1^32*t^7.922)/y + (2*t^8.039)/(g1^16*y) + (3*g1^10*t^8.101)/y + (3*t^8.279)/(g1^12*y) + (2*g1^14*t^8.341)/y - t^8.458/(g1^34*y) + t^8.52/(g1^8*y) + (g1^18*t^8.581)/y + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.821)/y - (t^4.38*y)/g1^2 - (t^6.419*y)/g1^18 - g1^8*t^6.48*y - (t^6.659*y)/g1^14 + (t^7.318*y)/g1^28 + (t^7.38*y)/g1^2 + (t^7.559*y)/g1^24 + 2*g1^2*t^7.62*y + (2*t^7.799*y)/g1^20 + 2*g1^6*t^7.86*y + g1^32*t^7.922*y + (2*t^8.039*y)/g1^16 + 3*g1^10*t^8.101*y + (3*t^8.279*y)/g1^12 + 2*g1^14*t^8.341*y - (t^8.458*y)/g1^34 + (t^8.52*y)/g1^8 + g1^18*t^8.581*y + (2*t^8.76*y)/g1^4 + g1^22*t^8.821*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 |
|---|---|---|---|---|---|---|---|---|
| 3784 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7067 | 0.9038 | 0.7819 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692, 0.6923], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | 2*t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + 5*t^4.154 + 3*t^4.385 + 4*t^4.615 + 5*t^4.846 + 5*t^5.077 + 3*t^5.308 + 5*t^5.538 + 3*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 147/208, c: 47/52, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, M6: 9/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 3779 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}X_{1}$ | 0.6824 | 0.8585 | 0.7948 | [X:[1.3636], M:[1.0, 0.8182, 1.1818, 0.6364, 0.7273, 0.7273], q:[0.4091, 0.5909], qb:[0.4091, 0.7727], phi:[0.4545]] | 2*t^2.182 + t^2.455 + t^2.727 + 2*t^3. + 2*t^3.545 + t^3.818 + t^4.091 + 5*t^4.364 + 2*t^4.636 + 4*t^4.909 + 5*t^5.182 + t^5.455 + 6*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 3633/5324, c: 18283/21296, X1: 15/11, M1: 1, M2: 9/11, M3: 13/11, M4: 7/11, M5: 8/11, M6: 8/11, q1: 9/22, q2: 13/22, qb1: 9/22, qb2: 17/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2811 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6866 | 0.8655 | 0.7932 | [M:[1.0, 0.8385, 1.1615, 0.677, 0.7578], q:[0.4472, 0.5528], qb:[0.3913, 0.7702], phi:[0.4596]] | t^2.031 + t^2.273 + t^2.516 + t^2.758 + t^2.832 + t^3. + t^3.484 + t^3.652 + t^3.894 + 2*t^4.062 + t^4.211 + t^4.304 + t^4.379 + 2*t^4.547 + t^4.696 + 2*t^4.789 + t^4.863 + 3*t^5.031 + t^5.106 + 2*t^5.273 + t^5.348 + 2*t^5.516 + t^5.59 + t^5.665 + 2*t^5.758 + 2*t^5.925 - t^6. - t^4.379/y - t^4.379*y | detail |