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 |
|---|---|---|---|---|---|---|---|---|---|
| 47942 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1311 | 1.2662 | 0.8933 | [X:[1.5234], M:[0.6981], q:[0.407, 0.8669], qb:[0.8948, 0.4015], phi:[0.2383]] | [X:[[0, 0, 2]], M:[[-1, 1, -5]], q:[[0, -1, 5], [-1, 0, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.094 + t^2.145 + t^2.426 + t^3.14 + t^3.805 + t^3.855 + t^4.189 + t^4.239 + t^4.289 + t^4.52 + 2*t^4.57 + t^4.851 + t^5.235 + 2*t^5.285 + t^5.566 + 2*t^5.758 + 2*t^5.808 + t^5.899 + t^5.95 - 2*t^6. - t^6.05 + t^6.231 + 2*t^6.281 + t^6.283 + t^6.333 + t^6.384 + t^6.434 + t^6.614 + 2*t^6.665 + t^6.715 + 2*t^6.945 + 3*t^6.996 + t^7.277 + t^7.329 + t^7.379 + t^7.43 - t^7.48 + t^7.61 + 2*t^7.66 + 3*t^7.711 + 2*t^7.852 + 2*t^7.903 + t^7.991 + t^7.994 + t^8.044 - 2*t^8.094 - t^8.145 + 2*t^8.183 - t^8.195 + 2*t^8.234 + t^8.325 + 3*t^8.375 + t^8.377 + t^8.428 - t^8.476 + t^8.478 + t^8.528 + t^8.579 - 2*t^8.617 + t^8.656 - 2*t^8.668 + 2*t^8.706 + t^8.709 + 2*t^8.759 - t^8.809 + 2*t^8.898 + 2*t^8.949 + t^8.145/y^2 - t^8.809/y^2 - t^8.86/y^2 - t^3.715/y - t^4.43/y - t^5.809/y - t^5.86/y - t^6.14/y - t^6.524/y - t^6.574/y - t^6.855/y + t^7.239/y - t^7.904/y - t^7.954/y - t^8.004/y + t^8.335/y - t^8.619/y - t^8.669/y - t^8.719/y + t^8.899/y + t^8.95/y - t^3.715*y - t^4.43*y - t^5.809*y - t^5.86*y - t^6.14*y - t^6.524*y - t^6.574*y - t^6.855*y + t^7.239*y - t^7.904*y - t^7.954*y - t^8.004*y + t^8.335*y - t^8.619*y - t^8.669*y - t^8.719*y + t^8.899*y + t^8.95*y + t^8.145*y^2 - t^8.809*y^2 - t^8.86*y^2 | (g2*t^2.094)/(g1*g3^5) + t^2.145/g3^3 + g3^5*t^2.426 + g3^4*t^3.14 + (g2*g3*t^3.805)/g1 + g3^3*t^3.855 + (g2^2*t^4.189)/(g1^2*g3^10) + (g2*t^4.239)/(g1*g3^8) + t^4.289/g3^6 + (g2*t^4.52)/g1 + 2*g3^2*t^4.57 + g3^10*t^4.851 + (g2*t^5.235)/(g1*g3) + 2*g3*t^5.285 + g3^9*t^5.566 + (g2^3*t^5.758)/g3^3 + (g3^10*t^5.758)/(g1*g2^2) + (g1*g2^2*t^5.808)/g3 + (g3^12*t^5.808)/g2^3 + (g2^2*t^5.899)/(g1^2*g3^4) + (g2*t^5.95)/(g1*g3^2) - 2*t^6. - (g1*g3^2*t^6.05)/g2 + (g2*g3^6*t^6.231)/g1 + 2*g3^8*t^6.281 + (g2^3*t^6.283)/(g1^3*g3^15) + (g2^2*t^6.333)/(g1^2*g3^13) + (g2*t^6.384)/(g1*g3^11) + t^6.434/g3^9 + (g2^2*t^6.614)/(g1^2*g3^5) + (2*g2*t^6.665)/(g1*g3^3) + t^6.715/g3 + (2*g2*g3^5*t^6.945)/g1 + 3*g3^7*t^6.996 + g3^15*t^7.277 + (g2^2*t^7.329)/(g1^2*g3^6) + (g2*t^7.379)/(g1*g3^4) + t^7.43/g3^2 - (g1*t^7.48)/g2 + (g2^2*g3^2*t^7.61)/g1^2 + (2*g2*g3^4*t^7.66)/g1 + 3*g3^6*t^7.711 + (g2^4*t^7.852)/(g1*g3^8) + (g3^5*t^7.852)/(g1^2*g2) + (g2^3*t^7.903)/g3^6 + (g3^7*t^7.903)/(g1*g2^2) + g3^14*t^7.991 + (g2^3*t^7.994)/(g1^3*g3^9) + (g2^2*t^8.044)/(g1^2*g3^7) - (2*g2*t^8.094)/(g1*g3^5) - t^8.145/g3^3 + g2^3*g3^2*t^8.183 + (g3^15*t^8.183)/(g1*g2^2) - (g1*t^8.195)/(g2*g3) + g1*g2^2*g3^4*t^8.234 + (g3^17*t^8.234)/g2^3 + (g2^2*g3*t^8.325)/g1^2 + (3*g2*g3^3*t^8.375)/g1 + (g2^4*t^8.377)/(g1^4*g3^20) + (g2^3*t^8.428)/(g1^3*g3^18) - (g1*g3^7*t^8.476)/g2 + (g2^2*t^8.478)/(g1^2*g3^16) + (g2*t^8.528)/(g1*g3^14) + t^8.579/g3^12 - (g2^3*t^8.617)/g3^7 - (g3^6*t^8.617)/(g1*g2^2) + (g2*g3^11*t^8.656)/g1 - (g1*g2^2*t^8.668)/g3^5 - (g3^8*t^8.668)/g2^3 + 2*g3^13*t^8.706 + (g2^3*t^8.709)/(g1^3*g3^10) + (2*g2^2*t^8.759)/(g1^2*g3^8) - (g2*t^8.809)/(g1*g3^6) + g2^3*g3*t^8.898 + (g3^14*t^8.898)/(g1*g2^2) + g1*g2^2*g3^3*t^8.949 + (g3^16*t^8.949)/g2^3 + t^8.145/(g3^3*y^2) - (g2*t^8.809)/(g1*g3^6*y^2) - t^8.86/(g3^4*y^2) - t^3.715/(g3*y) - t^4.43/(g3^2*y) - (g2*t^5.809)/(g1*g3^6*y) - t^5.86/(g3^4*y) - (g3^4*t^6.14)/y - (g2*t^6.524)/(g1*g3^7*y) - t^6.574/(g3^5*y) - (g3^3*t^6.855)/y + (g2*t^7.239)/(g1*g3^8*y) - (g2^2*t^7.904)/(g1^2*g3^11*y) - (g2*t^7.954)/(g1*g3^9*y) - t^8.004/(g3^7*y) + (g1*g3^3*t^8.335)/(g2*y) - (g2^2*t^8.619)/(g1^2*g3^12*y) - (g2*t^8.669)/(g1*g3^10*y) - t^8.719/(g3^8*y) + (g2^2*t^8.899)/(g1^2*g3^4*y) + (g2*t^8.95)/(g1*g3^2*y) - (t^3.715*y)/g3 - (t^4.43*y)/g3^2 - (g2*t^5.809*y)/(g1*g3^6) - (t^5.86*y)/g3^4 - g3^4*t^6.14*y - (g2*t^6.524*y)/(g1*g3^7) - (t^6.574*y)/g3^5 - g3^3*t^6.855*y + (g2*t^7.239*y)/(g1*g3^8) - (g2^2*t^7.904*y)/(g1^2*g3^11) - (g2*t^7.954*y)/(g1*g3^9) - (t^8.004*y)/g3^7 + (g1*g3^3*t^8.335*y)/g2 - (g2^2*t^8.619*y)/(g1^2*g3^12) - (g2*t^8.669*y)/(g1*g3^10) - (t^8.719*y)/g3^8 + (g2^2*t^8.899*y)/(g1^2*g3^4) + (g2*t^8.95*y)/(g1*g3^2) + (t^8.145*y^2)/g3^3 - (g2*t^8.809*y^2)/(g1*g3^6) - (t^8.86*y^2)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57748 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9904 | 1.0535 | 0.9401 | [X:[1.598, 1.397], M:[1.005], q:[0.4305, 1.2345], qb:[0.5645, 0.5645], phi:[0.201]] | t^2.98 + t^3.02 + t^3.59 + 2*t^4.19 + 2*t^5.4 + 2*t^5.68 + t^5.97 - 3*t^6. - t^3.6/y - t^4.21/y - t^3.6*y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47868 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |