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 |
|---|---|---|---|---|---|---|---|---|---|
| 57612 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4452 | 1.6256 | 0.889 | [X:[1.3612], M:[0.9465], q:[0.4599, 0.5135], qb:[0.5401, 0.5703], phi:[0.3194]] | [X:[[0, 2]], M:[[3, -7]], q:[[2, -1], [-1, 6]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.84 + t^2.87 + t^3. + t^3.09 + t^3.25 + t^3.96 + t^4.05 + t^4.08 + t^4.12 + t^4.21 + t^4.92 + t^5.01 + t^5.08 + t^5.17 + t^5.26 + t^5.42 + t^5.68 + t^5.71 + t^5.75 + t^5.87 + t^5.93 + t^5.96 - 2*t^6. + t^6.09 + t^6.13 - t^6.16 + t^6.18 + t^6.22 + t^6.25 + t^6.34 + t^6.38 + t^6.5 + t^6.83 + t^6.89 + 2*t^6.92 + t^6.96 + t^6.99 + t^7.01 + 2*t^7.05 + 2*t^7.08 + t^7.14 + 2*t^7.17 + 2*t^7.21 + t^7.3 + 2*t^7.33 + t^7.37 + t^7.46 + t^7.5 + t^7.74 + t^7.85 + t^7.88 + 2*t^7.92 + 3*t^8.01 + t^8.04 + t^8.08 + 2*t^8.1 + t^8.13 + 3*t^8.17 + t^8.24 + 3*t^8.26 + t^8.29 + t^8.33 + t^8.35 + 2*t^8.42 + 2*t^8.51 + t^8.52 + t^8.55 + t^8.59 + t^8.62 - t^8.66 + t^8.67 + t^8.77 + t^8.8 - t^8.82 - 2*t^8.84 - t^8.91 + 2*t^8.96 + t^8.87/y^2 - t^3.96/y - t^4.92/y - t^6.8/y - t^6.83/y - t^6.96/y - t^7.05/y - t^7.21/y - t^7.76/y - t^7.79/y - t^7.92/y - t^8.01/y - t^8.17/y + t^8.71/y + t^8.84/y + t^8.93/y - t^3.96*y - t^4.92*y - t^6.8*y - t^6.83*y - t^6.96*y - t^7.05*y - t^7.21*y - t^7.76*y - t^7.79*y - t^7.92*y - t^8.01*y - t^8.17*y + t^8.71*y + t^8.84*y + t^8.93*y + t^8.87*y^2 | (g1^3*t^2.84)/g2^7 + t^2.87/g2^3 + t^3. + (g1^3*t^3.09)/g2 + g2^6*t^3.25 + t^3.96/g2 + (g1^3*t^4.05)/g2^2 + g2^2*t^4.08 + (g2^6*t^4.12)/g1^3 + g2^5*t^4.21 + t^4.92/g2^2 + (g1^3*t^5.01)/g2^3 + (g2^5*t^5.08)/g1^3 + g2^4*t^5.17 + g1^3*g2^3*t^5.26 + g2^10*t^5.42 + (g1^6*t^5.68)/g2^14 + (g1^3*t^5.71)/g2^10 + t^5.75/g2^6 + t^5.87/g2^3 + (g1^6*t^5.93)/g2^8 + (g1^3*t^5.96)/g2^4 - 2*t^6. + (g1^3*t^6.09)/g2 + g2^3*t^6.13 - (g2^7*t^6.16)/g1^3 + (g1^6*t^6.18)/g2^2 + g1^3*g2^2*t^6.22 + g2^6*t^6.25 + g1^3*g2^5*t^6.34 + g2^9*t^6.38 + g2^12*t^6.5 + t^6.83/g2^4 + (g1^6*t^6.89)/g2^9 + (2*g1^3*t^6.92)/g2^5 + t^6.96/g2 + (g2^3*t^6.99)/g1^3 + (g1^6*t^7.01)/g2^6 + (2*g1^3*t^7.05)/g2^2 + 2*g2^2*t^7.08 + (g1^6*t^7.14)/g2^3 + 2*g1^3*g2*t^7.17 + 2*g2^5*t^7.21 + g1^3*g2^4*t^7.3 + 2*g2^8*t^7.33 + (g2^12*t^7.37)/g1^3 + g2^11*t^7.46 + (g2^15*t^7.5)/g1^3 + t^7.74/g1^6 + (g1^6*t^7.85)/g2^10 + (g1^3*t^7.88)/g2^6 + (2*t^7.92)/g2^2 + (3*g1^3*t^8.01)/g2^3 + g2*t^8.04 + (g2^5*t^8.08)/g1^3 + (2*g1^6*t^8.1)/g2^4 + g1^3*t^8.13 + 3*g2^4*t^8.17 + (g2^12*t^8.24)/g1^6 + 3*g1^3*g2^3*t^8.26 + g2^7*t^8.29 + (g2^11*t^8.33)/g1^3 + g1^6*g2^2*t^8.35 + 2*g2^10*t^8.42 + 2*g1^3*g2^9*t^8.51 + (g1^9*t^8.52)/g2^21 + (g1^6*t^8.55)/g2^17 + (g1^3*t^8.59)/g2^13 + t^8.62/g2^9 - t^8.66/(g1^3*g2^5) + g2^16*t^8.67 + (g1^9*t^8.77)/g2^15 + (g1^6*t^8.8)/g2^11 - (g2^2*t^8.82)/g1^6 - (2*g1^3*t^8.84)/g2^7 - (g2*t^8.91)/g1^3 + (2*g1^3*t^8.96)/g2^4 + t^8.87/(g2^3*y^2) - t^3.96/(g2*y) - t^4.92/(g2^2*y) - (g1^3*t^6.8)/(g2^8*y) - t^6.83/(g2^4*y) - t^6.96/(g2*y) - (g1^3*t^7.05)/(g2^2*y) - (g2^5*t^7.21)/y - (g1^3*t^7.76)/(g2^9*y) - t^7.79/(g2^5*y) - t^7.92/(g2^2*y) - (g1^3*t^8.01)/(g2^3*y) - (g2^4*t^8.17)/y + (g1^3*t^8.71)/(g2^10*y) + (g1^3*t^8.84)/(g2^7*y) + (g1^6*t^8.93)/(g2^8*y) - (t^3.96*y)/g2 - (t^4.92*y)/g2^2 - (g1^3*t^6.8*y)/g2^8 - (t^6.83*y)/g2^4 - (t^6.96*y)/g2 - (g1^3*t^7.05*y)/g2^2 - g2^5*t^7.21*y - (g1^3*t^7.76*y)/g2^9 - (t^7.79*y)/g2^5 - (t^7.92*y)/g2^2 - (g1^3*t^8.01*y)/g2^3 - g2^4*t^8.17*y + (g1^3*t^8.71*y)/g2^10 + (g1^3*t^8.84*y)/g2^7 + (g1^6*t^8.93*y)/g2^8 + (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 59472 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4314 | 1.602 | 0.8935 | [X:[1.4], M:[0.8705], q:[0.4803, 0.6098], qb:[0.5197, 0.5902], phi:[0.3]] | t^2.61 + t^2.7 + t^3. + t^3.21 + t^3.6 + t^3.9 + t^4.11 + t^4.2 + t^4.29 + t^4.5 + t^4.8 + t^5.01 + t^5.19 + t^5.22 + t^5.31 + 2*t^5.4 + t^5.61 + t^5.7 + t^5.82 + t^5.91 - t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
| 59066 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.925 | 1.0591 | 0.8733 | [X:[1.3868], M:[1.5331], q:[0.8978, 0.3647], qb:[0.1022, 0.7956], phi:[0.3066]] | t^2.32 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.68 + t^3.92 + t^4.16 + t^4.6 + t^4.64 + 2*t^5.08 + t^5.32 + t^5.52 + t^5.56 + 2*t^5.8 - t^3.92/y - t^4.84/y - t^3.92*y - t^4.84*y | detail | |
| 60078 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4094 | 1.5713 | 0.897 | [X:[1.4096], M:[0.9521], q:[0.5523, 0.6002], qb:[0.4477, 0.6285], phi:[0.2952]] | t^2.66 + t^2.86 + t^3. + t^3.54 + t^3.69 + t^3.89 + t^4.03 + t^4.23 + t^4.43 + t^4.57 + t^4.77 + t^4.92 + 2*t^5.31 + t^5.46 + t^5.51 + t^5.66 + t^5.71 - t^6. - t^3.89/y - t^4.77/y - t^3.89*y - t^4.77*y | detail | |
| 60760 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.299 | 1.4591 | 0.8903 | [X:[1.3597], M:[1.2806], q:[0.6798, 0.3992], qb:[0.3202, 0.6798], phi:[0.3202]] | t^2.88 + t^3. + t^3.12 + t^3.24 + t^3.84 + t^3.96 + 3*t^4.08 + t^4.2 + t^4.92 + t^5.04 + t^5.4 + 2*t^5.76 + t^5.88 - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47930 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.866 + t^2.914 + t^2.976 + t^3. + t^3.049 + t^3.906 + t^3.992 + t^4.016 + t^4.041 + t^4.126 + t^4.898 + t^4.984 + t^5.033 + t^5.118 + t^5.463 + t^5.484 + t^5.57 + t^5.597 + t^5.731 + t^5.78 + t^5.829 + t^5.841 + t^5.89 + t^5.914 + t^5.951 + t^5.963 + t^5.976 - 3*t^6. - t^3.992/y - t^4.984/y - t^3.992*y - t^4.984*y | detail |