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 |
|---|---|---|---|---|---|---|---|---|---|
| 47223 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5801 | 0.7306 | 0.794 | [M:[0.9081, 1.0919, 1.0, 0.9081, 0.7242], q:[0.6121, 0.4799], qb:[0.296, 0.9799], phi:[0.4081]] | [M:[[-2], [2], [0], [-2], [-6]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.173 + t^2.327 + t^2.448 + 2*t^2.724 + t^3. + t^3.552 + t^4.103 + t^4.345 + t^4.379 + t^4.5 + t^4.621 + t^4.655 + 2*t^4.776 + 3*t^4.897 + 2*t^5.052 + 2*t^5.173 + t^5.327 + 3*t^5.448 + 2*t^5.724 + t^5.879 - t^6. + t^6.276 - t^6.397 + t^6.431 + t^6.518 + t^6.552 + t^6.707 + t^6.793 + 2*t^6.827 + t^6.948 + t^6.982 + 3*t^7.069 + 3*t^7.103 + 2*t^7.224 + 3*t^7.345 + 2*t^7.379 + 2*t^7.5 + 4*t^7.621 + t^7.655 + 2*t^7.776 + 3*t^7.897 + t^8.173 + 2*t^8.207 - 2*t^8.327 + t^8.448 + t^8.482 - t^8.569 + t^8.69 - 4*t^8.724 + 2*t^8.758 + t^8.879 + t^8.966 - t^4.224/y - t^6.397/y - t^6.673/y - t^6.948/y + (2*t^7.5)/y + t^7.621/y + (2*t^7.776)/y + (2*t^7.897)/y + (3*t^8.052)/y + (3*t^8.173)/y + t^8.327/y + (2*t^8.448)/y - t^8.569/y + (3*t^8.724)/y - t^8.845/y + t^8.879/y - t^4.224*y - t^6.397*y - t^6.673*y - t^6.948*y + 2*t^7.5*y + t^7.621*y + 2*t^7.776*y + 2*t^7.897*y + 3*t^8.052*y + 3*t^8.173*y + t^8.327*y + 2*t^8.448*y - t^8.569*y + 3*t^8.724*y - t^8.845*y + t^8.879*y | t^2.173/g1^6 + g1^6*t^2.327 + t^2.448/g1^4 + (2*t^2.724)/g1^2 + t^3. + g1^4*t^3.552 + g1^8*t^4.103 + t^4.345/g1^12 + g1^10*t^4.379 + t^4.5 + t^4.621/g1^10 + g1^12*t^4.655 + 2*g1^2*t^4.776 + (3*t^4.897)/g1^8 + 2*g1^4*t^5.052 + (2*t^5.173)/g1^6 + g1^6*t^5.327 + (3*t^5.448)/g1^4 + (2*t^5.724)/g1^2 + g1^10*t^5.879 - t^6. + g1^2*t^6.276 - t^6.397/g1^8 + g1^14*t^6.431 + t^6.518/g1^18 + g1^4*t^6.552 + g1^16*t^6.707 + t^6.793/g1^16 + 2*g1^6*t^6.827 + t^6.948/g1^4 + g1^18*t^6.982 + (3*t^7.069)/g1^14 + 3*g1^8*t^7.103 + (2*t^7.224)/g1^2 + (3*t^7.345)/g1^12 + 2*g1^10*t^7.379 + 2*t^7.5 + (4*t^7.621)/g1^10 + g1^12*t^7.655 + 2*g1^2*t^7.776 + (3*t^7.897)/g1^8 + t^8.173/g1^6 + 2*g1^16*t^8.207 - 2*g1^6*t^8.327 + t^8.448/g1^4 + g1^18*t^8.482 - t^8.569/g1^14 + t^8.69/g1^24 - (4*t^8.724)/g1^2 + 2*g1^20*t^8.758 + g1^10*t^8.879 + t^8.966/g1^22 - t^4.224/(g1^2*y) - t^6.397/(g1^8*y) - t^6.673/(g1^6*y) - t^6.948/(g1^4*y) + (2*t^7.5)/y + t^7.621/(g1^10*y) + (2*g1^2*t^7.776)/y + (2*t^7.897)/(g1^8*y) + (3*g1^4*t^8.052)/y + (3*t^8.173)/(g1^6*y) + (g1^6*t^8.327)/y + (2*t^8.448)/(g1^4*y) - t^8.569/(g1^14*y) + (3*t^8.724)/(g1^2*y) - t^8.845/(g1^12*y) + (g1^10*t^8.879)/y - (t^4.224*y)/g1^2 - (t^6.397*y)/g1^8 - (t^6.673*y)/g1^6 - (t^6.948*y)/g1^4 + 2*t^7.5*y + (t^7.621*y)/g1^10 + 2*g1^2*t^7.776*y + (2*t^7.897*y)/g1^8 + 3*g1^4*t^8.052*y + (3*t^8.173*y)/g1^6 + g1^6*t^8.327*y + (2*t^8.448*y)/g1^4 - (t^8.569*y)/g1^14 + (3*t^8.724*y)/g1^2 - (t^8.845*y)/g1^12 + g1^10*t^8.879*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 50937 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5959 | 0.7583 | 0.7859 | [M:[0.9025, 1.0975, 1.0, 0.9025, 0.7075, 0.805], q:[0.6037, 0.4938], qb:[0.2988, 0.9938], phi:[0.4025]] | t^2.122 + t^2.378 + 2*t^2.415 + 2*t^2.707 + t^3. + t^4.17 + t^4.245 + t^4.463 + t^4.5 + 2*t^4.537 + t^4.755 + 3*t^4.793 + 5*t^4.83 + 2*t^5.085 + 4*t^5.122 + t^5.378 + 4*t^5.415 + t^5.707 - 2*t^6. - t^4.207/y - t^4.207*y | detail | |
| 55514 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.565 | 0.7052 | 0.8012 | [M:[0.9142, 1.0858, 1.0, 0.9142, 0.7426, 1.1716], q:[0.6213, 0.4645], qb:[0.2929, 0.9645], phi:[0.4142]] | t^2.228 + t^2.272 + 2*t^2.743 + t^3. + 2*t^3.515 + t^4.03 + t^4.287 + t^4.456 + t^4.5 + t^4.544 + t^4.757 + 2*t^4.97 + 2*t^5.015 + t^5.272 + 2*t^5.485 + 3*t^5.743 + 2*t^5.787 - 2*t^6. - t^4.243/y - t^4.243*y | detail | |
| 50916 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5794 | 0.7294 | 0.7943 | [M:[0.9, 1.1, 1.0, 0.9, 0.7], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^4.2 + 3*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 927/1600, c: 1167/1600, M1: 9/10, M2: 11/10, M3: 1, M4: 9/10, M5: 7/10, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46710 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ | 0.5604 | 0.6948 | 0.8065 | [M:[0.9129, 1.0871, 1.0, 0.9129], q:[0.6194, 0.4677], qb:[0.2935, 0.9677], phi:[0.4129]] | t^2.284 + t^2.477 + 2*t^2.739 + t^3. + t^3.523 + t^3.784 + t^4.045 + t^4.306 + t^4.568 + 2*t^4.761 + t^4.955 + 2*t^5.023 + t^5.216 + t^5.284 + 3*t^5.477 + t^5.739 + t^5.806 - t^6. - t^4.239/y - t^4.239*y | detail |