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 |
|---|---|---|---|---|---|---|---|---|---|
| 47910 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | [X:[[0, 2]], q:[[-1, 1], [-1, 11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | -1 | t^2.211 + t^2.315 + t^3.052 + t^3.685 + t^3.789 + t^3.892 + t^4.422 + 2*t^4.526 + t^4.629 + 2*t^5.263 + t^5.367 + 2*t^5.631 + 2*t^5.735 - t^6. + 2*t^6.104 + t^6.207 + t^6.633 + 2*t^6.737 + 3*t^6.841 + 2*t^6.944 + 2*t^7.474 + 3*t^7.578 + 2*t^7.681 + t^7.785 + 2*t^7.946 + 2*t^8.05 + t^8.211 + t^8.315 + 3*t^8.418 + t^8.522 - 2*t^8.58 + 2*t^8.787 + t^8.845 + t^8.211/y^2 - t^8.948/y^2 - t^3.737/y - t^4.474/y - t^5.948/y - t^6.052/y - t^6.685/y - t^6.789/y - t^7.422/y - t^7.629/y - t^8.159/y - t^3.737*y - t^4.474*y - t^5.948*y - t^6.052*y - t^6.685*y - t^6.789*y - t^7.422*y - t^7.629*y - t^8.159*y + t^8.211*y^2 - t^8.948*y^2 | t^2.211/g2^3 + g2^5*t^2.315 + g2^4*t^3.052 + t^3.685/g2^5 + g2^3*t^3.789 + g2^11*t^3.892 + t^4.422/g2^6 + 2*g2^2*t^4.526 + g2^10*t^4.629 + 2*g2*t^5.263 + g2^9*t^5.367 + (g1^3*t^5.631)/g2^21 + (g2^22*t^5.631)/g1^3 + (g1^3*t^5.735)/g2^13 + (g2^30*t^5.735)/g1^3 - t^6. + 2*g2^8*t^6.104 + g2^16*t^6.207 + t^6.633/g2^9 + (2*t^6.737)/g2 + 3*g2^7*t^6.841 + 2*g2^15*t^6.944 + (2*t^7.474)/g2^2 + 3*g2^6*t^7.578 + 2*g2^14*t^7.681 + g2^22*t^7.785 + (g1^3*t^7.946)/g2^16 + (g2^27*t^7.946)/g1^3 + (g1^3*t^8.05)/g2^8 + (g2^35*t^8.05)/g1^3 + t^8.211/g2^3 + g2^5*t^8.315 + 3*g2^13*t^8.418 + g2^21*t^8.522 - (g1^3*t^8.58)/g2^25 - (g2^18*t^8.58)/g1^3 + (g1^3*t^8.787)/g2^9 + (g2^34*t^8.787)/g1^3 + t^8.845/g2^12 + t^8.211/(g2^3*y^2) - t^8.948/(g2^4*y^2) - t^3.737/(g2*y) - t^4.474/(g2^2*y) - t^5.948/(g2^4*y) - (g2^4*t^6.052)/y - t^6.685/(g2^5*y) - (g2^3*t^6.789)/y - t^7.422/(g2^6*y) - (g2^10*t^7.629)/y - t^8.159/(g2^7*y) - (t^3.737*y)/g2 - (t^4.474*y)/g2^2 - (t^5.948*y)/g2^4 - g2^4*t^6.052*y - (t^6.685*y)/g2^5 - g2^3*t^6.789*y - (t^7.422*y)/g2^6 - g2^10*t^7.629*y - (t^8.159*y)/g2^7 + (t^8.211*y^2)/g2^3 - (t^8.948*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57504 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1114 | 1.2326 | 0.9017 | [X:[1.5155], M:[0.969], q:[0.8272, 0.4047], qb:[0.384, 0.9305], phi:[0.2423]] | t^2.18 + t^2.37 + t^2.91 + t^3.63 + t^3.82 + t^4.01 + t^4.36 + 2*t^4.55 + t^4.73 + t^5.09 + 2*t^5.27 + 2*t^5.64 + t^5.81 + 2*t^5.82 - t^6. - t^3.73/y - t^4.45/y - t^5.91/y - t^3.73*y - t^4.45*y - t^5.91*y | detail | |
| 57505 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.1288 | 1.2664 | 0.8913 | [X:[1.5105], M:[0.7342], q:[0.8426, 0.3951], qb:[0.3811, 0.9126], phi:[0.2447]] | 2*t^2.2 + t^2.33 + t^3.06 + t^3.67 + t^3.92 + 3*t^4.41 + 3*t^4.53 + t^4.66 + 3*t^5.27 + t^5.39 + 2*t^5.63 + 2*t^5.76 + t^5.87 - 2*t^6. - t^3.73/y - t^4.47/y - (2*t^5.94)/y - t^3.73*y - t^4.47*y - 2*t^5.94*y | detail | {a: 300763/266450, c: 674891/532900, X1: 1654/1095, M1: 268/365, q1: 2768/3285, q2: 1298/3285, qb1: 1252/3285, qb2: 2998/3285, phi1: 268/1095} |
| 57503 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.0914 | 1.1978 | 0.9112 | [X:[1.5136], M:[1.2159], q:[0.833, 0.4011], qb:[0.383, 0.9239], phi:[0.2432]] | t^2.19 + t^3.08 + 2*t^3.65 + t^3.81 + t^3.97 + t^4.38 + t^4.54 + 2*t^5.27 + 2*t^5.64 + 2*t^5.8 + t^5.84 - 2*t^6. - t^3.73/y - t^4.46/y - t^5.92/y - t^3.73*y - t^4.46*y - t^5.92*y | detail | |
| 57500 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9904 | 1.0529 | 0.9406 | [X:[1.6, 1.4], M:[], q:[0.5667, 0.5667], qb:[0.4333, 1.2333], phi:[0.2]] | 2*t^3. + t^3.6 + 2*t^4.2 + 2*t^5.4 + 2*t^5.7 - t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 7923/8000, c: 8423/8000, X1: 8/5, X2: 7/5, q1: 17/30, q2: 17/30, qb1: 13/30, qb2: 37/30, phi1: 1/5} |
| 57502 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.1071 | 1.2261 | 0.903 | [X:[1.516], M:[], q:[0.8066, 0.3868], qb:[0.4033, 0.9514], phi:[0.242]] | t^2.18 + t^2.37 + t^3.1 + t^3.63 + t^3.82 + t^4.01 + t^4.36 + 2*t^4.55 + t^4.74 + 2*t^5.27 + 2*t^5.47 + t^5.66 + t^5.81 - t^3.73/y - t^4.45/y - t^5.9/y - t^3.73*y - t^4.45*y - t^5.9*y | detail | |
| 57501 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.103 | 1.2242 | 0.901 | [X:[1.51], M:[], q:[0.8033, 0.3534], qb:[0.4217, 0.9517], phi:[0.245]] | t^2.2 + t^2.33 + t^3.06 + t^3.67 + t^3.8 + t^3.92 + t^4.41 + 2*t^4.53 + t^4.65 + 3*t^5.27 + 2*t^5.39 - t^3.73/y - t^4.47/y - t^5.94/y - t^3.73*y - t^4.47*y - t^5.94*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |