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 |
|---|---|---|---|---|---|---|---|---|---|
| 57731 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4024 | 1.5963 | 0.8785 | [X:[1.3532], M:[0.7786], q:[0.3662, 0.6896], qb:[0.4721, 0.5317], phi:[0.3234]] | [X:[[0, 4]], M:[[0, -11]], q:[[-1, 13], [-1, 11]], qb:[[1, -12], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.34 + t^2.51 + t^2.69 + t^2.91 + 2*t^3.49 + t^3.66 + t^4.06 + 2*t^4.46 + 2*t^4.63 + t^4.67 + t^4.85 + t^5.03 + t^5.21 + t^5.24 + t^5.25 + t^5.39 + t^5.4 + 2*t^5.43 + t^5.58 + 2*t^5.6 + 2*t^5.82 - 2*t^6. + 2*t^6.18 + 3*t^6.21 + t^6.36 + t^6.37 + 3*t^6.4 + t^6.55 + 2*t^6.57 + t^6.75 + t^6.79 - t^6.94 + 3*t^6.97 + t^7.01 + 5*t^7.15 + t^7.16 + 2*t^7.18 + t^7.19 + 3*t^7.33 + t^7.34 + 3*t^7.37 + t^7.52 + 4*t^7.54 - t^7.57 + t^7.58 + t^7.7 + t^7.72 - t^7.75 + t^7.76 + t^7.9 - t^7.91 + t^7.93 + 4*t^7.94 + t^8.08 + t^8.09 + 8*t^8.12 + 2*t^8.15 + 2*t^8.16 + t^8.27 + 4*t^8.3 + t^8.31 + t^8.49 - t^8.51 - 3*t^8.69 - t^8.7 + 2*t^8.72 + 3*t^8.73 + 2*t^8.87 + 4*t^8.9 + 4*t^8.91 + t^8.91/y^2 - t^3.97/y - t^4.94/y - t^6.31/y - t^6.49/y - t^6.66/y - t^6.88/y - t^7.28/y - (2*t^7.46)/y - t^7.63/y + t^8.03/y + t^8.21/y + t^8.25/y - t^8.43/y - t^8.64/y + t^8.82/y - t^3.97*y - t^4.94*y - t^6.31*y - t^6.49*y - t^6.66*y - t^6.88*y - t^7.28*y - 2*t^7.46*y - t^7.63*y + t^8.03*y + t^8.21*y + t^8.25*y - t^8.43*y - t^8.64*y + t^8.82*y + t^8.91*y^2 | t^2.34/g2^11 + g2*t^2.51 + g2^13*t^2.69 + t^2.91/g2^6 + (2*t^3.49)/g2 + g2^11*t^3.66 + g2^4*t^4.06 + (2*t^4.46)/g2^3 + 2*g2^9*t^4.63 + t^4.67/g2^22 + t^4.85/g2^10 + g2^2*t^5.03 + g2^14*t^5.21 + (g2^35*t^5.24)/g1^3 + t^5.25/g2^17 + g2^26*t^5.39 + (g1^3*t^5.4)/g2^26 + (2*t^5.43)/g2^5 + (g1^3*t^5.58)/g2^14 + 2*g2^7*t^5.6 + (2*t^5.82)/g2^12 - 2*t^6. + 2*g2^12*t^6.18 + (3*g2^33*t^6.21)/g1^3 + g2^24*t^6.36 + (g1^3*t^6.37)/g2^28 + (3*t^6.4)/g2^7 + (g1^3*t^6.55)/g2^16 + 2*g2^5*t^6.57 + g2^17*t^6.75 + t^6.79/g2^14 - (g1^3*t^6.94)/g2^23 + (3*t^6.97)/g2^2 + t^7.01/g2^33 + 5*g2^10*t^7.15 + (g1^3*t^7.16)/g2^42 + (2*g2^31*t^7.18)/g1^3 + t^7.19/g2^21 + 3*g2^22*t^7.33 + (g1^3*t^7.34)/g2^30 + (3*t^7.37)/g2^9 + (g1^3*t^7.52)/g2^18 + 4*g2^3*t^7.54 - (g2^24*t^7.57)/g1^3 + t^7.58/g2^28 + (g1^3*t^7.7)/g2^6 + g2^15*t^7.72 - (g2^36*t^7.75)/g1^3 + t^7.76/g2^16 + g2^27*t^7.9 - (g1^3*t^7.91)/g2^25 + (g2^48*t^7.93)/g1^3 + (4*t^7.94)/g2^4 + g2^39*t^8.08 + (g1^3*t^8.09)/g2^13 + 8*g2^8*t^8.12 + (2*g2^29*t^8.15)/g1^3 + (2*t^8.16)/g2^23 + (g1^3*t^8.27)/g2 + 4*g2^20*t^8.3 + (g1^3*t^8.31)/g2^32 + (g1^3*t^8.49)/g2^20 - g2*t^8.51 - 3*g2^13*t^8.69 - (g1^3*t^8.7)/g2^39 + (2*g2^34*t^8.72)/g1^3 + (3*t^8.73)/g2^18 + 2*g2^25*t^8.87 + (4*g2^46*t^8.9)/g1^3 + (4*t^8.91)/g2^6 + t^8.91/(g2^6*y^2) - t^3.97/(g2^2*y) - t^4.94/(g2^4*y) - t^6.31/(g2^13*y) - t^6.49/(g2*y) - (g2^11*t^6.66)/y - t^6.88/(g2^8*y) - t^7.28/(g2^15*y) - (2*t^7.46)/(g2^3*y) - (g2^9*t^7.63)/y + (g2^2*t^8.03)/y + (g2^14*t^8.21)/y + t^8.25/(g2^17*y) - t^8.43/(g2^5*y) - t^8.64/(g2^24*y) + t^8.82/(g2^12*y) - (t^3.97*y)/g2^2 - (t^4.94*y)/g2^4 - (t^6.31*y)/g2^13 - (t^6.49*y)/g2 - g2^11*t^6.66*y - (t^6.88*y)/g2^8 - (t^7.28*y)/g2^15 - (2*t^7.46*y)/g2^3 - g2^9*t^7.63*y + g2^2*t^8.03*y + g2^14*t^8.21*y + (t^8.25*y)/g2^17 - (t^8.43*y)/g2^5 - (t^8.64*y)/g2^24 + (t^8.82*y)/g2^12 + (t^8.91*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59048 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{2}$ | 1.3853 | 1.5682 | 0.8834 | [X:[1.3456], M:[0.7995, 1.2005], q:[0.3591, 0.6863], qb:[0.4773, 0.5142], phi:[0.3272]] | t^2.51 + t^2.62 + t^2.94 + 2*t^3.49 + 2*t^3.6 + t^4.04 + 2*t^4.47 + 2*t^4.58 + t^5.13 + t^5.19 + t^5.24 + t^5.39 + 2*t^5.45 + t^5.5 + 2*t^5.56 - 3*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 60696 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3638 | 1.5696 | 0.8688 | [X:[1.2941], M:[0.9412], q:[0.3072, 0.6601], qb:[0.5163, 0.3987], phi:[0.3529]] | t^2.12 + t^2.47 + t^2.82 + 2*t^3.18 + 2*t^3.53 + t^3.88 + 3*t^4.24 + 3*t^4.59 + t^4.88 + t^4.94 + t^5. + 4*t^5.29 + t^5.35 + 5*t^5.65 + 3*t^5.94 - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y | detail | {a: 3153/2312, c: 3629/2312, X1: 22/17, M1: 16/17, q1: 47/153, q2: 101/153, qb1: 79/153, qb2: 61/153, phi1: 6/17} |
| 60194 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4001 | 1.594 | 0.8783 | [X:[1.3468], M:[0.7964, 1.0201], q:[0.3602, 0.6868], qb:[0.4765, 0.5168], phi:[0.3266]] | t^2.39 + t^2.51 + t^2.63 + t^3.06 + 2*t^3.49 + t^3.61 + t^4.04 + 2*t^4.47 + 2*t^4.59 + t^4.78 + t^4.9 + t^5.02 + t^5.14 + t^5.2 + t^5.26 + t^5.39 + 2*t^5.45 + t^5.51 + 2*t^5.57 + t^5.69 + t^5.88 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 60637 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.3885 | 1.5721 | 0.8832 | [X:[1.3541], M:[0.7763, 1.1615], q:[0.367, 0.69], qb:[0.4715, 0.5337], phi:[0.323]] | t^2.33 + t^2.7 + t^2.91 + 3*t^3.48 + t^3.67 + t^4.06 + 2*t^4.45 + 2*t^4.64 + t^4.66 + 2*t^5.24 + 2*t^5.4 + t^5.42 + t^5.59 + 2*t^5.61 + 3*t^5.81 - 4*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 60638 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3951 | 1.5826 | 0.8815 | [X:[1.3671], M:[0.7405, 1.057], q:[0.3789, 0.6954], qb:[0.4629, 0.5641], phi:[0.3165]] | t^2.22 + t^2.53 + t^2.85 + t^3.17 + 2*t^3.47 + t^3.78 + t^4.1 + 2*t^4.42 + t^4.44 + 2*t^4.73 + t^4.75 + t^5.07 + t^5.31 + 2*t^5.37 + t^5.39 + t^5.42 + t^5.68 + 3*t^5.7 + t^5.72 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y | detail | |
| 58721 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4205 | 1.6281 | 0.8725 | [X:[1.3591], M:[0.7624, 0.7624], q:[0.3717, 0.6921], qb:[0.4681, 0.5455], phi:[0.3204]] | 2*t^2.29 + t^2.52 + t^2.75 + t^2.88 + 2*t^3.48 + t^4.08 + 2*t^4.44 + 3*t^4.57 + 2*t^4.67 + 2*t^4.81 + 2*t^5.04 + 2*t^5.17 + 2*t^5.27 + 2*t^5.4 + t^5.41 + t^5.5 + 3*t^5.64 + 4*t^5.77 - 3*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 60616 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3725 | 1.5624 | 0.8785 | [X:[1.3732], M:[0.7238], q:[0.4577, 0.7711], qb:[0.3856, 0.505], phi:[0.3134]] | t^2.17 + t^2.53 + t^2.82 + t^2.89 + 2*t^3.47 + t^3.83 + t^4.12 + t^4.34 + 2*t^4.41 + t^4.7 + 3*t^4.77 + t^4.99 + t^5.06 + t^5.13 + 2*t^5.35 + t^5.42 + 2*t^5.64 + 3*t^5.71 + t^5.78 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 58626 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3959 | 1.5865 | 0.8798 | [X:[1.3689], M:[0.7356], q:[0.3518, 0.6674], qb:[0.4904, 0.597], phi:[0.3156]] | t^2.21 + t^2.53 + t^2.84 + t^2.85 + 2*t^3.47 + t^3.79 + t^4.11 + t^4.41 + 2*t^4.42 + t^4.73 + 2*t^4.74 + 2*t^5.05 + t^5.06 + 3*t^5.37 + 3*t^5.68 + 3*t^5.69 - t^6. - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y | detail | |
| 60092 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3809 | 1.5734 | 0.8776 | [X:[1.3598], M:[0.7607], q:[0.3064, 0.6265], qb:[0.5335, 0.6128], phi:[0.3201]] | t^2.28 + t^2.52 + t^2.76 + t^2.88 + 2*t^3.48 + t^3.72 + t^4.08 + 2*t^4.44 + t^4.56 + 3*t^4.68 + t^4.8 + t^5.04 + t^5.16 + t^5.28 + 2*t^5.4 + t^5.52 + 5*t^5.64 + 2*t^5.76 - t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 58751 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.392 | 1.5795 | 0.8813 | [X:[1.3846], M:[0.6923], q:[0.3942, 0.7019], qb:[0.4519, 0.6058], phi:[0.3077]] | t^2.08 + t^2.54 + t^2.77 + t^3. + 2*t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + t^4.62 + 3*t^4.85 + t^5.08 + 2*t^5.31 + t^5.39 + t^5.45 + 3*t^5.54 + 2*t^5.77 + t^5.91 - t^6. - t^3.92/y - t^4.85/y - t^6./y - t^3.92*y - t^4.85*y - t^6.*y | detail | {a: 782883/562432, c: 888339/562432, X1: 18/13, M1: 9/13, q1: 41/104, q2: 73/104, qb1: 47/104, qb2: 63/104, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47946 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4949 | 1.7246 | 0.8668 | [M:[0.6737], q:[0.4984, 0.4969], qb:[0.5023, 0.493], phi:[0.3349]] | t^2.009 + t^2.021 + t^2.97 + t^2.974 + t^2.998 + t^3.002 + t^3.014 + t^3.974 + t^4.002 + t^4.007 + t^4.019 + t^4.03 + t^4.042 + 2*t^4.979 + 2*t^4.984 + t^4.991 + t^4.995 + 2*t^5.007 + 2*t^5.012 + t^5.019 + 2*t^5.023 + t^5.035 + t^5.47 + t^5.481 + t^5.486 + t^5.498 + t^5.939 + t^5.944 + t^5.949 + t^5.967 + t^5.972 + t^5.977 + 2*t^5.984 + t^5.988 + t^5.995 - 3*t^6. - t^4.005/y - t^5.009/y - t^4.005*y - t^5.009*y | detail |