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 |
|---|---|---|---|---|---|---|---|---|---|
| 47907 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3267 | 1.4817 | 0.8954 | [X:[1.4202], q:[0.7296, 0.4105], qb:[0.6907, 0.43], phi:[0.2899]] | [X:[[0, 2]], q:[[-1, -4], [-1, 4]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -1 | t^2.521 + t^2.609 + t^3.304 + t^3.391 + t^3.479 + t^4.173 + 3*t^4.261 + t^4.348 + t^5.043 + 2*t^5.13 + t^5.218 + 2*t^5.521 + t^5.825 + t^5.913 - t^6. + 2*t^6.304 + 2*t^6.391 + 2*t^6.479 + t^6.607 + 2*t^6.695 + 4*t^6.782 + 2*t^6.87 + t^7.477 + 5*t^7.564 + 5*t^7.652 + 5*t^7.739 + t^7.827 - 2*t^8.13 - 2*t^8.218 + 2*t^8.347 + 4*t^8.434 + 5*t^8.521 + 3*t^8.609 + t^8.696 + 4*t^8.825 + 4*t^8.913 + t^8.609/y^2 - t^3.87/y - t^4.739/y - t^6.391/y - t^6.479/y - t^7.173/y - t^7.261/y - (2*t^7.348)/y - t^8.043/y - t^8.13/y - t^8.218/y + t^8.825/y + t^8.913/y - t^3.87*y - t^4.739*y - t^6.391*y - t^6.479*y - t^7.173*y - t^7.261*y - 2*t^7.348*y - t^8.043*y - t^8.13*y - t^8.218*y + t^8.825*y + t^8.913*y + t^8.609*y^2 | g2^4*t^2.521 + t^2.609/g2^3 + g2^10*t^3.304 + g2^3*t^3.391 + t^3.479/g2^4 + g2^9*t^4.173 + 3*g2^2*t^4.261 + t^4.348/g2^5 + g2^8*t^5.043 + 2*g2*t^5.13 + t^5.218/g2^6 + (g2^3*t^5.521)/g1^3 + g1^3*g2^5*t^5.521 + g2^14*t^5.825 + g2^7*t^5.913 - t^6. + (g2^9*t^6.304)/g1^3 + g1^3*g2^11*t^6.304 + (g2^2*t^6.391)/g1^3 + g1^3*g2^4*t^6.391 + t^6.479/(g1^3*g2^5) + (g1^3*t^6.479)/g2^3 + g2^20*t^6.607 + 2*g2^13*t^6.695 + 4*g2^6*t^6.782 + (2*t^6.87)/g2 + g2^19*t^7.477 + 5*g2^12*t^7.564 + 5*g2^5*t^7.652 + (5*t^7.739)/g2^2 + t^7.827/g2^9 - t^8.13/g1^3 - g1^3*g2^2*t^8.13 - t^8.218/(g1^3*g2^7) - (g1^3*t^8.218)/g2^5 + 2*g2^18*t^8.347 + 4*g2^11*t^8.434 + 5*g2^4*t^8.521 + (3*t^8.609)/g2^3 + t^8.696/g2^10 + (2*g2^13*t^8.825)/g1^3 + 2*g1^3*g2^15*t^8.825 + (2*g2^6*t^8.913)/g1^3 + 2*g1^3*g2^8*t^8.913 + t^8.609/(g2^3*y^2) - t^3.87/(g2*y) - t^4.739/(g2^2*y) - (g2^3*t^6.391)/y - t^6.479/(g2^4*y) - (g2^9*t^7.173)/y - (g2^2*t^7.261)/y - (2*t^7.348)/(g2^5*y) - (g2^8*t^8.043)/y - (g2*t^8.13)/y - t^8.218/(g2^6*y) + (g2^14*t^8.825)/y + (g2^7*t^8.913)/y - (t^3.87*y)/g2 - (t^4.739*y)/g2^2 - g2^3*t^6.391*y - (t^6.479*y)/g2^4 - g2^9*t^7.173*y - g2^2*t^7.261*y - (2*t^7.348*y)/g2^5 - g2^8*t^8.043*y - g2*t^8.13*y - (t^8.218*y)/g2^6 + g2^14*t^8.825*y + g2^7*t^8.913*y + (t^8.609*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57453 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.3409 | 1.5079 | 0.8893 | [X:[1.416], M:[0.8321], q:[0.7373, 0.4014], qb:[0.6788, 0.4307], phi:[0.292]] | 2*t^2.496 + t^2.628 + t^3.24 + t^3.372 + t^4.116 + 3*t^4.248 + t^4.38 + 3*t^4.992 + 3*t^5.124 + t^5.256 + 2*t^5.496 + 2*t^5.737 + 2*t^5.868 - 2*t^6. - t^3.876/y - t^4.752/y - t^3.876*y - t^4.752*y | detail | |
| 57452 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3133 | 1.4571 | 0.9013 | [X:[1.4248], M:[1.1504], q:[0.7212, 0.4204], qb:[0.7036, 0.4292], phi:[0.2876]] | t^2.588 + t^3.372 + t^3.412 + 2*t^3.451 + t^4.235 + 3*t^4.274 + t^4.314 + t^5.137 + t^5.177 + 2*t^5.549 - 2*t^6. - t^3.863/y - t^4.726/y - t^3.863*y - t^4.726*y | detail | |
| 57451 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3158 | 1.4673 | 0.8967 | [X:[1.4292], q:[0.7603, 0.4771], qb:[0.6689, 0.3813], phi:[0.2854]] | t^2.569 + t^2.575 + t^3.425 + t^3.431 + t^3.438 + t^4.281 + 3*t^4.288 + t^4.294 + t^5.137 + 2*t^5.144 + 2*t^5.15 + t^6. - t^3.856/y - t^4.712/y - t^3.856*y - t^4.712*y | detail | |
| 57449 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0602 | 1.1435 | 0.9271 | [X:[1.5556, 1.3333], q:[0.4815, 0.7037], qb:[1.0741, 0.4074], phi:[0.2222]] | t^2.667 + 2*t^3.333 + 2*t^4. + 2*t^4.667 + t^5.333 + 2*t^5.667 - t^6. - t^3.667/y - t^4.333/y - t^3.667*y - t^4.333*y | detail | {a: 229/216, c: 247/216, X1: 14/9, X2: 4/3, q1: 13/27, q2: 19/27, qb1: 29/27, qb2: 11/27, phi1: 2/9} |
| 57450 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2334 | 1.3584 | 0.908 | [X:[1.5], q:[0.5833, 0.5833], qb:[0.9167, 0.4167], phi:[0.25]] | t^2.25 + 2*t^3. + 2*t^3.75 + 5*t^4.5 + 3*t^5.25 + 4*t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 1263/1024, c: 1391/1024, X1: 3/2, q1: 7/12, q2: 7/12, qb1: 11/12, qb2: 5/12, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | t^2.378 + t^2.716 + 3*t^3.284 + 5*t^4.189 + t^4.757 + 2*t^5.095 + 2*t^5.378 + t^5.433 + 3*t^5.662 - 2*t^6. - t^3.905/y - t^4.811/y - t^3.905*y - t^4.811*y | detail |