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 |
|---|---|---|---|---|---|---|---|---|---|
| 82 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7036 | 0.8583 | 0.8198 | [M:[0.8504, 1.0499], q:[0.5748, 0.5748], qb:[0.4751, 0.4751], phi:[0.4751]] | [M:[[0, 6, 6], [0, -2, -2]], q:[[-1, -6, -6], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, 1, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | -3 | t^2.551 + t^2.85 + 5*t^3.15 + 3*t^4.276 + 4*t^4.575 + 3*t^4.874 + t^5.102 + t^5.401 + 2*t^5.701 - 3*t^6. + 10*t^6.299 + 3*t^6.827 + 3*t^7.126 + 8*t^7.425 + t^7.653 + 8*t^7.724 + t^7.953 + 8*t^8.024 + 2*t^8.252 + 2*t^8.551 + 2*t^8.85 - t^4.425/y - t^6.976/y + t^7.874/y + t^8.401/y + (5*t^8.701)/y - t^4.425*y - t^6.976*y + t^7.874*y + t^8.401*y + 5*t^8.701*y | g2^6*g3^6*t^2.551 + g2^2*g3^2*t^2.85 + g1*g2^2*t^3.15 + t^3.15/(g1*g2^4*g3^6) + t^3.15/(g1*g2^6*g3^4) + t^3.15/(g2^2*g3^2) + g1*g3^2*t^3.15 + g2^5*g3*t^4.276 + g2^3*g3^3*t^4.276 + g2*g3^5*t^4.276 + t^4.575/(g1*g2^3*g3^5) + t^4.575/(g1*g2^5*g3^3) + g1*g2^3*g3*t^4.575 + g1*g2*g3^3*t^4.575 + t^4.874/(g1^2*g2^11*g3^11) + t^4.874/(g2^5*g3^5) + g1^2*g2*g3*t^4.874 + g2^12*g3^12*t^5.102 + g2^8*g3^8*t^5.401 + 2*g2^4*g3^4*t^5.701 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) + t^6./(g1*g2^2*g3^4) + t^6./(g1*g2^4*g3^2) - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 + g1*g2^4*g3^2*t^6. + g1*g2^2*g3^4*t^6. - g1^2*g2^6*g3^6*t^6. + g1^2*g2^4*t^6.299 + t^6.299/(g1^2*g2^8*g3^12) + t^6.299/(g1^2*g2^10*g3^10) + t^6.299/(g1^2*g2^12*g3^8) + t^6.299/(g2^2*g3^6) + (2*t^6.299)/(g2^4*g3^4) + t^6.299/(g2^6*g3^2) + g1^2*g2^2*g3^2*t^6.299 + g1^2*g3^4*t^6.299 + g2^11*g3^7*t^6.827 + g2^9*g3^9*t^6.827 + g2^7*g3^11*t^6.827 + g2^7*g3^3*t^7.126 + g2^5*g3^5*t^7.126 + g2^3*g3^7*t^7.126 + (g2*t^7.425)/(g1*g3^5) + (2*t^7.425)/(g1*g2*g3^3) + (2*t^7.425)/(g1*g2^3*g3) - (g2^3*t^7.425)/g3 + (g3*t^7.425)/(g1*g2^5) - 2*g2*g3*t^7.425 + g1*g2^7*g3*t^7.425 - (g3^3*t^7.425)/g2 + 2*g1*g2^5*g3^3*t^7.425 + 2*g1*g2^3*g3^5*t^7.425 + g1*g2*g3^7*t^7.425 + g2^18*g3^18*t^7.653 + t^7.724/(g1^2*g2^7*g3^11) + (2*t^7.724)/(g1^2*g2^9*g3^9) + t^7.724/(g1^2*g2^11*g3^7) - t^7.724/(g1*g2^5*g3^7) - t^7.724/(g1*g2^7*g3^5) + t^7.724/(g2*g3^5) + (2*t^7.724)/(g2^3*g3^3) + t^7.724/(g2^5*g3) - (g1*g2*t^7.724)/g3 - (g1*g3*t^7.724)/g2 + g1^2*g2^5*g3*t^7.724 + 2*g1^2*g2^3*g3^3*t^7.724 + g1^2*g2*g3^5*t^7.724 + g2^14*g3^14*t^7.953 + t^8.024/(g1^3*g2^15*g3^17) + t^8.024/(g1^3*g2^17*g3^15) + t^8.024/(g1*g2^9*g3^11) + t^8.024/(g1*g2^11*g3^9) + (g1*t^8.024)/(g2^3*g3^5) + (g1*t^8.024)/(g2^5*g3^3) + g1^3*g2^3*g3*t^8.024 + g1^3*g2*g3^3*t^8.024 + 2*g2^10*g3^10*t^8.252 + g2^10*g3^2*t^8.551 + g2^2*g3^10*t^8.551 + (2*t^8.85)/(g1*g2^2) - 2*g2^4*t^8.85 - t^8.85/(g1^2*g2^4*g3^4) + (g2^2*t^8.85)/(g1*g3^4) + (2*t^8.85)/(g1*g3^2) + (g3^2*t^8.85)/(g1*g2^4) - 4*g2^2*g3^2*t^8.85 + g1*g2^8*g3^2*t^8.85 - 2*g3^4*t^8.85 + 2*g1*g2^6*g3^4*t^8.85 + 2*g1*g2^4*g3^6*t^8.85 + g1*g2^2*g3^8*t^8.85 - g1^2*g2^8*g3^8*t^8.85 - (g2*g3*t^4.425)/y - (g2^7*g3^7*t^6.976)/y + t^7.874/(g2^5*g3^5*y) + (g2^8*g3^8*t^8.401)/y + (g2^2*t^8.701)/(g1*y) + (g3^2*t^8.701)/(g1*y) + (g2^4*g3^4*t^8.701)/y + (g1*g2^8*g3^6*t^8.701)/y + (g1*g2^6*g3^8*t^8.701)/y - g2*g3*t^4.425*y - g2^7*g3^7*t^6.976*y + (t^7.874*y)/(g2^5*g3^5) + g2^8*g3^8*t^8.401*y + (g2^2*t^8.701*y)/g1 + (g3^2*t^8.701*y)/g1 + g2^4*g3^4*t^8.701*y + g1*g2^8*g3^6*t^8.701*y + g1*g2^6*g3^8*t^8.701*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 |
|---|---|---|---|---|---|---|---|---|
| 136 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7087 | 0.8668 | 0.8176 | [M:[0.8239, 1.0587, 0.9413], q:[0.588, 0.588], qb:[0.4707, 0.4707], phi:[0.4707]] | t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y | detail | |
| 135 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6994 | 0.8518 | 0.8211 | [M:[0.8778, 1.0407, 1.0407], q:[0.5611, 0.5611], qb:[0.4796, 0.4796], phi:[0.4796]] | t^2.633 + 6*t^3.122 + 3*t^4.317 + 4*t^4.561 + 3*t^4.805 + t^5.267 + 2*t^5.756 - 8*t^6. - t^4.439/y - t^4.439*y | detail | |
| 1704 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[0.4, 1.2], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 2/5, M2: 6/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7382 | 0.8885 | 0.8308 | [M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y | detail |