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 |
|---|---|---|---|---|---|---|---|---|---|
| 57691 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4007 | 1.5922 | 0.8798 | [X:[1.3576], M:[0.791], q:[0.6667, 0.3455], qb:[0.5424, 0.5184], phi:[0.3212]] | [X:[[0, 2]], M:[[1, -5]], q:[[0, 0], [0, 1]], qb:[[-1, 5], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}^{3}$ | -1 | t^2.37 + t^2.59 + t^2.66 + t^2.89 + 2*t^3.56 + t^3.63 + t^4.07 + 2*t^4.52 + 2*t^4.59 + t^4.75 + t^4.96 + t^5.04 + t^5.18 + 2*t^5.26 + t^5.33 + 2*t^5.48 + 2*t^5.55 + t^5.7 + t^5.77 + t^5.78 + t^5.93 - t^6. - t^6.07 + 2*t^6.15 + 3*t^6.22 + t^6.29 + 3*t^6.45 + t^6.52 + 2*t^6.66 + 2*t^6.74 + t^6.89 - t^7.04 + 5*t^7.11 + t^7.12 + 5*t^7.18 + 3*t^7.25 + t^7.34 + t^7.41 + 2*t^7.56 + 3*t^7.63 + t^7.64 + 2*t^7.7 + t^7.77 + t^7.78 + t^7.85 + t^7.86 + t^7.92 + t^7.99 - t^8. + 6*t^8.07 + 8*t^8.15 + 3*t^8.22 + t^8.29 + t^8.3 + 2*t^8.36 - t^8.37 + t^8.52 + t^8.59 - t^8.66 + t^8.67 + t^8.74 + 3*t^8.81 + 2*t^8.82 + 3*t^8.88 + t^8.95 - t^8.96 + t^8.89/y^2 - t^3.96/y - t^4.93/y - t^6.34/y - t^6.56/y - t^6.63/y - t^6.85/y - t^7.3/y - (2*t^7.52)/y - t^7.59/y - t^7.82/y + t^7.96/y + t^8.04/y + (2*t^8.26)/y - t^8.48/y - t^8.71/y + t^8.93/y - t^3.96*y - t^4.93*y - t^6.34*y - t^6.56*y - t^6.63*y - t^6.85*y - t^7.3*y - 2*t^7.52*y - t^7.59*y - t^7.82*y + t^7.96*y + t^8.04*y + 2*t^8.26*y - t^8.48*y - t^8.71*y + t^8.93*y + t^8.89*y^2 | (g1*t^2.37)/g2^5 + g1*g2*t^2.59 + (g2^6*t^2.66)/g1 + t^2.89/g2^3 + 2*g1*t^3.56 + (g2^5*t^3.63)/g1 + g2^2*t^4.07 + (2*g1*t^4.52)/g2 + (2*g2^4*t^4.59)/g1 + (g1^2*t^4.75)/g2^10 + (g1^2*t^4.96)/g2^4 + g2*t^5.04 + g1^2*g2^2*t^5.18 + (g1*t^5.26)/g2^8 + g2^7*t^5.26 + (g2^12*t^5.33)/g1^2 + (2*g1*t^5.48)/g2^2 + (2*g2^3*t^5.55)/g1 + g1*g2^4*t^5.7 + (g2^9*t^5.77)/g1 + t^5.78/g2^6 + (g1^2*t^5.93)/g2^5 - t^6. - (g2^5*t^6.07)/g1^2 + 2*g1^2*g2*t^6.15 + 3*g2^6*t^6.22 + (g2^11*t^6.29)/g1^2 + (3*g1*t^6.45)/g2^3 + (g2^2*t^6.52)/g1 + 2*g1*g2^3*t^6.66 + (2*g2^8*t^6.74)/g1 + (g1^2*t^6.89)/g2^6 - (g2^4*t^7.04)/g1^2 + 5*g1^2*t^7.11 + (g1^3*t^7.12)/g2^15 + 5*g2^5*t^7.18 + (3*g2^10*t^7.25)/g1^2 + (g1^3*t^7.34)/g2^9 + (g1*t^7.41)/g2^4 + (2*g1^3*t^7.56)/g2^3 + 3*g1*g2^2*t^7.63 + (g1^2*t^7.64)/g2^13 + (2*g2^7*t^7.7)/g1 + (g2^12*t^7.77)/g1^3 + g1^3*g2^3*t^7.78 + g1*g2^8*t^7.85 + (g1^2*t^7.86)/g2^7 + (g2^13*t^7.92)/g1 + (g2^18*t^7.99)/g1^3 - (g2^3*t^8.)/g1^2 + (6*g1^2*t^8.07)/g2 + (g1*t^8.15)/g2^11 + 7*g2^4*t^8.15 + (3*g2^9*t^8.22)/g1^2 + g1^2*g2^5*t^8.29 + (g1^3*t^8.3)/g2^10 + 2*g2^10*t^8.36 - (g1*t^8.37)/g2^5 - t^8.44/g1 + (g2^15*t^8.44)/g1^2 + (g1^3*t^8.52)/g2^4 + g1*g2*t^8.59 - (g2^6*t^8.66)/g1 + t^8.67/g2^9 + 2*g1^3*g2^2*t^8.74 - (g2^11*t^8.74)/g1^3 + 3*g1*g2^7*t^8.81 + (2*g1^2*t^8.82)/g2^8 + (3*g2^12*t^8.88)/g1 + (g2^17*t^8.95)/g1^3 - (g2^2*t^8.96)/g1^2 + t^8.89/(g2^3*y^2) - t^3.96/(g2*y) - t^4.93/(g2^2*y) - (g1*t^6.34)/(g2^6*y) - (g1*t^6.56)/y - (g2^5*t^6.63)/(g1*y) - t^6.85/(g2^4*y) - (g1*t^7.3)/(g2^7*y) - (2*g1*t^7.52)/(g2*y) - (g2^4*t^7.59)/(g1*y) - t^7.82/(g2^5*y) + (g1^2*t^7.96)/(g2^4*y) + (g2*t^8.04)/y + (g1*t^8.26)/(g2^8*y) + (g2^7*t^8.26)/y - (g1*t^8.48)/(g2^2*y) - (g1^2*t^8.71)/(g2^11*y) + (g1^2*t^8.93)/(g2^5*y) - (t^3.96*y)/g2 - (t^4.93*y)/g2^2 - (g1*t^6.34*y)/g2^6 - g1*t^6.56*y - (g2^5*t^6.63*y)/g1 - (t^6.85*y)/g2^4 - (g1*t^7.3*y)/g2^7 - (2*g1*t^7.52*y)/g2 - (g2^4*t^7.59*y)/g1 - (t^7.82*y)/g2^5 + (g1^2*t^7.96*y)/g2^4 + g2*t^8.04*y + (g1*t^8.26*y)/g2^8 + g2^7*t^8.26*y - (g1*t^8.48*y)/g2^2 - (g1^2*t^8.71*y)/g2^11 + (g1^2*t^8.93*y)/g2^5 + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 59401 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 1.3843 | 1.5654 | 0.8843 | [X:[1.3505], M:[0.8119, 1.1881], q:[0.6667, 0.3419], qb:[0.5214, 0.5214], phi:[0.3248]] | 2*t^2.59 + t^2.92 + 4*t^3.56 + t^4.05 + 4*t^4.54 + 3*t^5.18 + 4*t^5.51 + 2*t^5.67 + t^5.85 - 4*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail | |
| 58897 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4004 | 1.591 | 0.8802 | [X:[1.358], M:[0.8024], q:[0.6667, 0.3457], qb:[0.5309, 0.5309], phi:[0.321]] | t^2.41 + 2*t^2.63 + t^2.89 + 3*t^3.59 + t^4.07 + 4*t^4.56 + t^4.81 + 2*t^5.04 + 3*t^5.26 + t^5.3 + 4*t^5.52 + 2*t^5.74 + t^5.78 - t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
| 59449 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3983 | 1.5926 | 0.8779 | [X:[1.3444], M:[0.8068, 1.0166], q:[0.6667, 0.3389], qb:[0.5265, 0.5012], phi:[0.3278]] | t^2.42 + t^2.52 + t^2.6 + t^3.05 + 2*t^3.5 + t^3.58 + t^4.03 + 2*t^4.49 + 2*t^4.56 + t^4.84 + t^4.94 + t^5.02 + t^5.04 + t^5.12 + t^5.19 + 2*t^5.47 + t^5.55 + 2*t^5.57 + 2*t^5.65 + t^5.92 - t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
| 60132 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4182 | 1.6227 | 0.874 | [X:[1.3635], M:[0.774, 0.774], q:[0.6667, 0.3484], qb:[0.5593, 0.516], phi:[0.3183]] | 2*t^2.32 + t^2.59 + t^2.72 + t^2.86 + 2*t^3.55 + t^4.09 + 2*t^4.5 + 2*t^4.63 + 3*t^4.64 + 2*t^4.92 + 2*t^5.05 + 3*t^5.19 + t^5.32 + t^5.45 + 2*t^5.46 + 2*t^5.59 + 2*t^5.73 + t^5.86 + 3*t^5.87 - 2*t^6. - t^3.95/y - t^4.91/y - t^3.95*y - t^4.91*y | detail | |
| 58612 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3924 | 1.5762 | 0.8834 | [X:[1.3724], M:[0.7554, 1.0692], q:[0.6667, 0.3529], qb:[0.5779, 0.5197], phi:[0.3138]] | t^2.27 + t^2.62 + t^2.82 + t^3.21 + 2*t^3.56 + t^3.73 + t^4.12 + 2*t^4.5 + t^4.53 + 2*t^4.68 + t^4.88 + t^5.09 + t^5.24 + 2*t^5.44 + t^5.47 + t^5.62 + t^5.65 + t^5.79 + 2*t^5.83 + t^5.97 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 58607 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3905 | 1.5705 | 0.8854 | [X:[1.3731], M:[0.7903, 1.0905], q:[0.6667, 0.3532], qb:[0.5431, 0.5563], phi:[0.3135]] | t^2.37 + t^2.69 + t^2.82 + t^3.27 + t^3.63 + 2*t^3.67 + t^4.12 + 2*t^4.57 + 2*t^4.61 + t^4.74 + t^5.06 + t^5.19 + t^5.38 + 2*t^5.51 + t^5.55 + 2*t^5.64 + t^5.87 + t^5.91 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 59463 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3968 | 1.5797 | 0.8842 | [X:[1.3829], M:[0.7772], q:[0.6667, 0.3581], qb:[0.5562, 0.5676], phi:[0.3086]] | t^2.33 + t^2.74 + 2*t^2.78 + t^3.67 + 2*t^3.7 + t^4.15 + 2*t^4.59 + 2*t^4.63 + t^4.66 + t^5.07 + 2*t^5.11 + t^5.49 + 3*t^5.52 + 4*t^5.55 - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail | |
| 60692 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3983 | 1.5846 | 0.8824 | [X:[1.3773], M:[0.7547], q:[0.6667, 0.3553], qb:[0.5787, 0.5314], phi:[0.3113]] | t^2.26 + t^2.66 + 2*t^2.8 + 2*t^3.59 + t^3.74 + t^4.13 + 3*t^4.53 + 2*t^4.67 + t^4.92 + 2*t^5.07 + t^5.32 + 3*t^5.46 + 4*t^5.6 + 2*t^5.86 - t^3.93/y - t^4.87/y - t^3.93*y - t^4.87*y | detail | |
| 59483 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{6}$ | 1.3976 | 1.5963 | 0.8755 | [X:[1.3333], M:[0.8202], q:[0.6667, 0.3333], qb:[0.5131, 0.4869], phi:[0.3333]] | 2*t^2.46 + t^2.54 + t^3. + 2*t^3.46 + t^3.54 + t^4. + 2*t^4.46 + 2*t^4.54 + 3*t^4.92 + 2*t^5. + t^5.08 + 4*t^5.46 + 3*t^5.54 + 3*t^5.92 + 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 60505 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8615 | 0.8797 | 0.9794 | [X:[1.7133, 1.5699], M:[0.8602], q:[0.6667, 0.5233], qb:[0.4732, 1.4767], phi:[0.1434]] | t^2.58 + t^3.85 + t^4.28 + t^4.71 + t^5.14 + t^5.16 + t^5.55 - 2*t^6. - t^3.43/y - t^3.86/y - t^3.43*y - t^3.86*y | detail | |
| 58802 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3754 | 1.5454 | 0.89 | [X:[1.4286], M:[0.7086], q:[0.6667, 0.381], qb:[0.6248, 0.6133], phi:[0.2857]] | t^2.13 + t^2.57 + t^2.98 + t^3.02 + 2*t^3.84 + t^3.87 + t^4.25 + t^4.29 + 3*t^4.7 + 2*t^4.73 + t^5.11 + 2*t^5.14 + 2*t^5.55 + 2*t^5.59 + 2*t^5.97 - t^3.86/y - t^4.71/y - t^5.98/y - t^3.86*y - t^4.71*y - t^5.98*y | detail | |
| 58597 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.3878 | 1.5707 | 0.8836 | [X:[1.396], M:[0.698], q:[0.6667, 0.3647], qb:[0.6353, 0.5213], phi:[0.302]] | t^2.09 + t^2.66 + t^2.72 + t^3. + 2*t^3.56 + t^3.91 + 2*t^4.19 + 2*t^4.47 + t^4.75 + 3*t^4.81 + t^5.09 + t^5.32 + 2*t^5.38 + t^5.44 + 2*t^5.66 + 2*t^5.72 + t^5.94 - t^3.91/y - t^4.81/y - t^6./y - t^3.91*y - t^4.81*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47921 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4635 | 1.664 | 0.8795 | [X:[1.3534], M:[0.671], q:[0.5755, 0.5258], qb:[0.4799, 0.479], phi:[0.3233]] | t^2.013 + t^2.91 + t^3.014 + t^3.017 + t^3.163 + t^3.166 + t^3.984 + t^4.026 + t^4.06 + t^4.133 + t^4.136 + t^4.923 + t^4.954 + t^4.957 + t^5.027 + t^5.03 + t^5.103 + t^5.106 + t^5.176 + t^5.179 + t^5.283 + t^5.286 + t^5.82 + t^5.924 + t^5.927 - 3*t^6. - t^3.97/y - t^4.94/y - t^5.983/y - t^3.97*y - t^4.94*y - t^5.983*y | detail |