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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ | 0.6732 | 0.8001 | 0.8414 | [q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | [q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -9 | t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. + 6*t^6.313 + 3*t^6.812 + 8*t^7.126 - 8*t^7.219 + t^7.312 + 15*t^7.532 + 3*t^8.031 + 10*t^8.344 - 9*t^8.437 + 18*t^8.75 + 6*t^8.843 - t^4.219/y - t^6.656/y + t^7.781/y + (3*t^8.594)/y - t^4.219*y - t^6.656*y + t^7.781*y + 3*t^8.594*y | t^2.437/(g1^4*g2^4*g3^4) + g1^7*g2^7*t^3.157 + g1^7*g3^7*t^3.157 + g2^7*g3^7*t^3.157 + g1^8*g2*g3*t^3.969 + g1*g2^8*g3*t^3.969 + g1*g2*g3^8*t^3.969 + (g1^12*t^4.375)/(g2^2*g3^2) + (g1^5*g2^5*t^4.375)/g3^2 + (g2^12*t^4.375)/(g1^2*g3^2) + (g1^5*g3^5*t^4.375)/g2^2 + (g2^5*g3^5*t^4.375)/g1^2 + (g3^12*t^4.375)/(g1^2*g2^2) + t^4.874/(g1^8*g2^8*g3^8) + (g1^3*g2^3*t^5.594)/g3^4 + (g1^3*g3^3*t^5.594)/g2^4 + (g2^3*g3^3*t^5.594)/g1^4 - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.)/g3^7 - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1^7 - (g3^7*t^6.)/g2^7 + g1^14*g2^14*t^6.313 + g1^14*g2^7*g3^7*t^6.313 + g1^7*g2^14*g3^7*t^6.313 + g1^14*g3^14*t^6.313 + g1^7*g2^7*g3^14*t^6.313 + g2^14*g3^14*t^6.313 + (g1^8*t^6.812)/(g2^6*g3^6) + (g2^8*t^6.812)/(g1^6*g3^6) + (g3^8*t^6.812)/(g1^6*g2^6) + g1^15*g2^8*g3*t^7.126 + g1^8*g2^15*g3*t^7.126 + g1^15*g2*g3^8*t^7.126 + 2*g1^8*g2^8*g3^8*t^7.126 + g1*g2^15*g3^8*t^7.126 + g1^8*g2*g3^15*t^7.126 + g1*g2^8*g3^15*t^7.126 - (g1^5*t^7.219)/(g2^2*g3^9) - (g2^5*t^7.219)/(g1^2*g3^9) - (g1^5*t^7.219)/(g2^9*g3^2) - (2*t^7.219)/(g1^2*g2^2*g3^2) - (g2^5*t^7.219)/(g1^9*g3^2) - (g3^5*t^7.219)/(g1^2*g2^9) - (g3^5*t^7.219)/(g1^9*g2^2) + t^7.312/(g1^12*g2^12*g3^12) + (g1^19*g2^5*t^7.532)/g3^2 + (g1^12*g2^12*t^7.532)/g3^2 + (g1^5*g2^19*t^7.532)/g3^2 + (g1^19*g3^5*t^7.532)/g2^2 + 2*g1^12*g2^5*g3^5*t^7.532 + 2*g1^5*g2^12*g3^5*t^7.532 + (g2^19*g3^5*t^7.532)/g1^2 + (g1^12*g3^12*t^7.532)/g2^2 + 2*g1^5*g2^5*g3^12*t^7.532 + (g2^12*g3^12*t^7.532)/g1^2 + (g1^5*g3^19*t^7.532)/g2^2 + (g2^5*g3^19*t^7.532)/g1^2 + t^8.031/(g1*g2*g3^8) + t^8.031/(g1*g2^8*g3) + t^8.031/(g1^8*g2*g3) + (g1^20*t^8.344)/(g2*g3) + (g1^13*g2^6*t^8.344)/g3 + (g1^6*g2^13*t^8.344)/g3 + (g2^20*t^8.344)/(g1*g3) + (g1^13*g3^6*t^8.344)/g2 + g1^6*g2^6*g3^6*t^8.344 + (g2^13*g3^6*t^8.344)/g1 + (g1^6*g3^13*t^8.344)/g2 + (g2^6*g3^13*t^8.344)/g1 + (g3^20*t^8.344)/(g1*g2) - (g1^3*t^8.437)/(g2^4*g3^11) - (g2^3*t^8.437)/(g1^4*g3^11) - (g1^3*t^8.437)/(g2^11*g3^4) - (3*t^8.437)/(g1^4*g2^4*g3^4) - (g2^3*t^8.437)/(g1^11*g3^4) - (g3^3*t^8.437)/(g1^4*g2^11) - (g3^3*t^8.437)/(g1^11*g2^4) + (g1^24*t^8.75)/(g2^4*g3^4) + (g1^17*g2^3*t^8.75)/g3^4 + (2*g1^10*g2^10*t^8.75)/g3^4 + (g1^3*g2^17*t^8.75)/g3^4 + (g2^24*t^8.75)/(g1^4*g3^4) + (g1^17*g3^3*t^8.75)/g2^4 + g1^10*g2^3*g3^3*t^8.75 + g1^3*g2^10*g3^3*t^8.75 + (g2^17*g3^3*t^8.75)/g1^4 + (2*g1^10*g3^10*t^8.75)/g2^4 + g1^3*g2^3*g3^10*t^8.75 + (2*g2^10*g3^10*t^8.75)/g1^4 + (g1^3*g3^17*t^8.75)/g2^4 + (g2^3*g3^17*t^8.75)/g1^4 + (g3^24*t^8.75)/(g1^4*g2^4) + t^8.843/g1^14 + t^8.843/g2^14 + t^8.843/(g1^7*g2^7) + t^8.843/g3^14 + t^8.843/(g1^7*g3^7) + t^8.843/(g2^7*g3^7) - t^4.219/(g1^2*g2^2*g3^2*y) - t^6.656/(g1^6*g2^6*g3^6*y) + (g1^2*g2^2*g3^2*t^7.781)/y + (g1^3*g2^3*t^8.594)/(g3^4*y) + (g1^3*g3^3*t^8.594)/(g2^4*y) + (g2^3*g3^3*t^8.594)/(g1^4*y) - (t^4.219*y)/(g1^2*g2^2*g3^2) - (t^6.656*y)/(g1^6*g2^6*g3^6) + g1^2*g2^2*g3^2*t^7.781*y + (g1^3*g2^3*t^8.594*y)/g3^4 + (g1^3*g3^3*t^8.594*y)/g2^4 + (g2^3*g3^3*t^8.594*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6584 | 0.7801 | 0.844 | [M:[1.1579], q:[0.7895, 0.5088], qb:[0.5088, 0.5088], phi:[0.4211]] | 3*t^3.053 + t^3.474 + 3*t^3.895 + 6*t^4.316 - 9*t^6. - t^4.263/y - t^4.263*y | detail | {a: 3803/5776, c: 2253/2888, M1: 22/19, q1: 15/19, q2: 29/57, qb1: 29/57, qb2: 29/57, phi1: 8/19} |
| 1668 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 0.6817 | 0.8108 | 0.8408 | [M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - t^4.16/y - t^4.16*y | detail | |
| 43 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail | |
| 45830 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.6515 | 0.7734 | 0.8425 | [q:[0.8051, 0.6101], qb:[0.6101, 0.4152], phi:[0.3899]] | t^2.339 + 2*t^3.076 + 3*t^3.661 + 4*t^4.245 + t^4.679 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y | detail | |
| 44 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6515 | 0.7734 | 0.8425 | [q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] | t^2.339 + 2*t^3.076 + 3*t^3.661 + 4*t^4.245 + t^4.679 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y | detail | |
| 42 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ | 0.6289 | 0.7852 | 0.801 | [q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 3*t^2.5 + t^3. + 3*t^3.5 + 6*t^4. + 6*t^5. + 3*t^5.5 - t^4.5/y - t^4.5*y | detail | {a: 161/256, c: 201/256, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
| 45 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.8761, 1.1239], qb:[0.5042, 0.5042], phi:[0.2479]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 36 | SU2adj1nf2 | ${}$ | 0.7103 | 0.8462 | 0.8394 | [q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*y | detail |