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 |
|---|---|---|---|---|---|---|---|---|---|
| 53032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6792 | 0.8528 | 0.7964 | [M:[1.1588, 1.0, 0.6823, 0.8412, 1.0794, 0.7617], q:[0.4522, 0.389], qb:[0.5478, 0.7699], phi:[0.4603]] | [M:[[8], [0], [-16], [-8], [4], [-12]], q:[[-15], [7]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.047 + t^2.285 + t^2.523 + t^2.81 + t^3. + t^3.238 + t^3.477 + t^3.666 + t^3.904 + 2*t^4.094 + t^4.191 + t^4.332 + t^4.381 + 2*t^4.57 + t^4.668 + t^4.809 + t^4.857 + 2*t^5.047 + t^5.096 + 2*t^5.285 + t^5.334 + 2*t^5.523 + t^5.621 + 2*t^5.762 + 2*t^5.951 - t^6. + t^6.049 + 2*t^6.141 + t^6.19 + t^6.238 + 2*t^6.379 + t^6.428 + 2*t^6.477 + 3*t^6.617 + t^6.666 + 2*t^6.715 + 2*t^6.856 + 3*t^6.904 + t^7.002 + 3*t^7.094 + t^7.143 + t^7.191 + 4*t^7.332 + t^7.381 + t^7.478 + 4*t^7.57 + t^7.619 + t^7.668 + t^7.76 + 3*t^7.809 + t^7.906 + 2*t^7.998 + t^8.047 + t^8.144 + 3*t^8.188 + t^8.237 + t^8.285 + 2*t^8.426 + t^8.431 + 3*t^8.475 - t^8.523 + t^8.572 + 4*t^8.664 + t^8.713 + 4*t^8.762 - 3*t^8.81 + 2*t^8.859 + 3*t^8.903 + 3*t^8.951 - t^4.381/y - t^6.428/y - t^6.666/y + t^7.332/y + t^7.57/y + t^7.809/y + t^7.857/y + t^8.047/y + (2*t^8.096)/y + (2*t^8.285)/y + (2*t^8.334)/y - t^8.475/y + (3*t^8.523)/y + (2*t^8.762)/y + t^8.81/y + t^8.951/y - t^4.381*y - t^6.428*y - t^6.666*y + t^7.332*y + t^7.57*y + t^7.809*y + t^7.857*y + t^8.047*y + 2*t^8.096*y + 2*t^8.285*y + 2*t^8.334*y - t^8.475*y + 3*t^8.523*y + 2*t^8.762*y + t^8.81*y + t^8.951*y | t^2.047/g1^16 + t^2.285/g1^12 + t^2.523/g1^8 + g1^22*t^2.81 + t^3. + g1^4*t^3.238 + g1^8*t^3.477 + t^3.666/g1^14 + t^3.904/g1^10 + (2*t^4.094)/g1^32 + g1^20*t^4.191 + t^4.332/g1^28 + t^4.381/g1^2 + (2*t^4.57)/g1^24 + g1^28*t^4.668 + t^4.809/g1^20 + g1^6*t^4.857 + (2*t^5.047)/g1^16 + g1^10*t^5.096 + (2*t^5.285)/g1^12 + g1^14*t^5.334 + (2*t^5.523)/g1^8 + g1^44*t^5.621 + (2*t^5.762)/g1^4 + (2*t^5.951)/g1^26 - t^6. + g1^26*t^6.049 + (2*t^6.141)/g1^48 + t^6.19/g1^22 + g1^4*t^6.238 + (2*t^6.379)/g1^44 + t^6.428/g1^18 + 2*g1^8*t^6.477 + (3*t^6.617)/g1^40 + t^6.666/g1^14 + 2*g1^12*t^6.715 + (2*t^6.856)/g1^36 + (3*t^6.904)/g1^10 + g1^42*t^7.002 + (3*t^7.094)/g1^32 + t^7.143/g1^6 + g1^20*t^7.191 + (4*t^7.332)/g1^28 + t^7.381/g1^2 + g1^50*t^7.478 + (4*t^7.57)/g1^24 + g1^2*t^7.619 + g1^28*t^7.668 + t^7.76/g1^46 + (3*t^7.809)/g1^20 + g1^32*t^7.906 + (2*t^7.998)/g1^42 + t^8.047/g1^16 + g1^36*t^8.144 + (3*t^8.188)/g1^64 + t^8.237/g1^38 + t^8.285/g1^12 + (2*t^8.426)/g1^60 + g1^66*t^8.431 + (3*t^8.475)/g1^34 - t^8.523/g1^8 + g1^18*t^8.572 + (4*t^8.664)/g1^56 + t^8.713/g1^30 + (4*t^8.762)/g1^4 - 3*g1^22*t^8.81 + 2*g1^48*t^8.859 + (3*t^8.903)/g1^52 + (3*t^8.951)/g1^26 - t^4.381/(g1^2*y) - t^6.428/(g1^18*y) - t^6.666/(g1^14*y) + t^7.332/(g1^28*y) + t^7.57/(g1^24*y) + t^7.809/(g1^20*y) + (g1^6*t^7.857)/y + t^8.047/(g1^16*y) + (2*g1^10*t^8.096)/y + (2*t^8.285)/(g1^12*y) + (2*g1^14*t^8.334)/y - t^8.475/(g1^34*y) + (3*t^8.523)/(g1^8*y) + (2*t^8.762)/(g1^4*y) + (g1^22*t^8.81)/y + t^8.951/(g1^26*y) - (t^4.381*y)/g1^2 - (t^6.428*y)/g1^18 - (t^6.666*y)/g1^14 + (t^7.332*y)/g1^28 + (t^7.57*y)/g1^24 + (t^7.809*y)/g1^20 + g1^6*t^7.857*y + (t^8.047*y)/g1^16 + 2*g1^10*t^8.096*y + (2*t^8.285*y)/g1^12 + 2*g1^14*t^8.334*y - (t^8.475*y)/g1^34 + (3*t^8.523*y)/g1^8 + (2*t^8.762*y)/g1^4 + g1^22*t^8.81*y + (t^8.951*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56419 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6931 | 0.8774 | 0.79 | [M:[1.1631, 1.0, 0.6738, 0.8369, 1.0816, 0.7553, 0.8369], q:[0.4442, 0.3927], qb:[0.5558, 0.7704], phi:[0.4592]] | t^2.021 + t^2.266 + 2*t^2.511 + t^2.846 + t^3. + t^3.245 + t^3.644 + t^3.888 + 2*t^4.043 + t^4.223 + t^4.287 + t^4.378 + 3*t^4.532 + t^4.713 + 2*t^4.777 + t^4.867 + 4*t^5.021 + t^5.112 + 2*t^5.266 + 2*t^5.356 + 2*t^5.511 + t^5.691 + 2*t^5.755 + 2*t^5.91 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 56420 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6998 | 0.8922 | 0.7843 | [M:[1.1576, 1.0, 0.6848, 0.8424, 1.0788, 0.7636, 0.697], q:[0.4545, 0.3879], qb:[0.5455, 0.7697], phi:[0.4606]] | t^2.054 + t^2.091 + t^2.291 + t^2.527 + t^2.8 + t^3. + t^3.236 + t^3.473 + t^3.673 + 2*t^4.109 + t^4.145 + 2*t^4.182 + t^4.345 + 2*t^4.382 + 2*t^4.581 + t^4.618 + t^4.655 + t^4.818 + t^4.855 + t^4.891 + 2*t^5.054 + 2*t^5.091 + 2*t^5.291 + 2*t^5.327 + 2*t^5.527 + t^5.564 + t^5.601 + 3*t^5.764 + t^5.963 - t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6608 | 0.8195 | 0.8064 | [M:[1.1545, 1.0, 0.6911, 0.8455, 1.0772], q:[0.4604, 0.3852], qb:[0.5396, 0.7693], phi:[0.4614]] | t^2.073 + t^2.537 + t^2.774 + t^3. + t^3.232 + t^3.463 + t^3.689 + t^3.695 + t^3.921 + 2*t^4.146 + t^4.158 + t^4.384 + t^4.61 + t^4.622 + t^4.848 + 2*t^5.073 + t^5.305 + t^5.311 + t^5.537 + t^5.549 + 2*t^5.768 + t^5.994 - t^6. - t^4.384/y - t^4.384*y | detail |