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 |
|---|---|---|---|---|---|---|---|---|---|
| 46819 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ | 0.7063 | 0.8655 | 0.816 | [M:[0.8791, 0.9759, 1.0241, 0.9274, 1.0484, 0.9759], q:[0.4999, 0.621], qb:[0.5242, 0.4517], phi:[0.4758]] | [M:[[-3, 1], [1, 1], [-1, -1], [-5, -1], [2, 0], [1, 1]], q:[[-2, -1], [5, 0]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.637 + t^2.782 + t^2.855 + 2*t^2.928 + t^3.145 + t^3.435 + t^4.138 + t^4.282 + t^4.355 + t^4.427 + t^4.5 + t^4.573 + t^4.645 + t^4.79 + t^4.863 + t^5.153 + t^5.275 + t^5.419 + t^5.564 + 2*t^5.565 + 2*t^5.71 + 2*t^5.782 + 2*t^5.855 - 3*t^6. + 2*t^6.073 - t^6.145 + t^6.363 - t^6.508 + t^6.581 + t^6.775 + t^6.871 + t^6.92 + 2*t^6.992 + t^7.064 + 2*t^7.065 + 2*t^7.137 + t^7.209 + 2*t^7.21 + 2*t^7.282 + 2*t^7.283 + 2*t^7.355 + t^7.427 + 2*t^7.5 + 2*t^7.573 + 2*t^7.79 + t^7.912 + t^8.008 + t^8.057 + 2*t^8.081 + 3*t^8.202 + t^8.275 + t^8.298 + t^8.346 + t^8.347 + t^8.42 + t^8.492 + 3*t^8.493 + 2*t^8.565 + t^8.589 - t^8.637 + t^8.709 + 3*t^8.71 - 4*t^8.782 + 3*t^8.783 + t^8.854 - 2*t^8.855 - 5*t^8.928 - t^4.427/y - t^7.065/y - t^7.21/y - t^7.355/y + t^7.5/y + t^7.645/y + t^7.79/y + t^8.419/y + t^8.492/y + (2*t^8.565)/y + t^8.637/y + (2*t^8.71)/y + (3*t^8.782)/y + t^8.855/y + t^8.927/y - t^4.427*y - t^7.065*y - t^7.21*y - t^7.355*y + t^7.5*y + t^7.645*y + t^7.79*y + t^8.419*y + t^8.492*y + 2*t^8.565*y + t^8.637*y + 2*t^8.71*y + 3*t^8.782*y + t^8.855*y + t^8.927*y | (g2*t^2.637)/g1^3 + t^2.782/(g1^5*g2) + t^2.855/g1^2 + 2*g1*g2*t^2.928 + g1^2*t^3.145 + g1^6*t^3.435 + (g2^2*t^4.138)/g1 + t^4.282/g1^3 + g2*t^4.355 + t^4.427/(g1^5*g2^2) + t^4.5/(g1^2*g2) + g1*t^4.573 + g1^4*g2*t^4.645 + (g1^2*t^4.79)/g2 + g1^5*t^4.863 + g1^9*t^5.153 + (g2^2*t^5.275)/g1^6 + t^5.419/g1^8 + t^5.564/(g1^10*g2^2) + (2*g2^2*t^5.565)/g1^2 + (2*t^5.71)/g1^4 + (2*g2*t^5.782)/g1 + 2*g1^2*g2^2*t^5.855 - 3*t^6. + 2*g1^3*g2*t^6.073 - t^6.145/(g1^2*g2^2) + g1^7*g2*t^6.363 - (g1^5*t^6.508)/g2 + g1^8*t^6.581 + (g2^3*t^6.775)/g1^4 + g1^12*t^6.871 + (g2*t^6.92)/g1^6 + (2*g2^2*t^6.992)/g1^3 + t^7.064/(g1^8*g2) + 2*g2^3*t^7.065 + (2*t^7.137)/g1^5 + t^7.209/(g1^10*g2^3) + (2*g2*t^7.21)/g1^2 + (2*t^7.282)/(g1^7*g2^2) + 2*g1*g2^2*t^7.283 + (2*t^7.355)/(g1^4*g2) + t^7.427/g1 + 2*g1^2*g2*t^7.5 + 2*g1^5*g2^2*t^7.573 + 2*g1^6*g2*t^7.79 + (g2^3*t^7.912)/g1^9 + g1^7*t^8.008 + (g2*t^8.057)/g1^11 + 2*g1^10*g2*t^8.081 + t^8.202/(g1^13*g2) + (2*g2^3*t^8.202)/g1^5 + (g2^4*t^8.275)/g1^2 + g1^11*t^8.298 + t^8.346/(g1^15*g2^3) + (g2*t^8.347)/g1^7 + (g2^2*t^8.42)/g1^4 + t^8.492/(g1^9*g2) + (3*g2^3*t^8.493)/g1 + (2*t^8.565)/g1^6 + g1^15*t^8.589 - (g2*t^8.637)/g1^3 + t^8.709/(g1^8*g2^2) + 3*g2^2*t^8.71 - (4*t^8.782)/(g1^5*g2) + 3*g1^3*g2^3*t^8.783 + t^8.854/(g1^10*g2^4) - (2*t^8.855)/g1^2 - 5*g1*g2*t^8.928 - t^4.427/(g1*y) - (g2*t^7.065)/(g1^4*y) - t^7.21/(g1^6*g2*y) - (g2*t^7.355)/y + t^7.5/(g1^2*g2*y) + (g1^4*g2*t^7.645)/y + (g1^2*t^7.79)/(g2*y) + t^8.419/(g1^8*y) + (g2*t^8.492)/(g1^5*y) + (2*g2^2*t^8.565)/(g1^2*y) + t^8.637/(g1^7*g2*y) + (2*t^8.71)/(g1^4*y) + (3*g2*t^8.782)/(g1*y) + (g1^2*g2^2*t^8.855)/y + t^8.927/(g1^3*g2*y) - (t^4.427*y)/g1 - (g2*t^7.065*y)/g1^4 - (t^7.21*y)/(g1^6*g2) - g2*t^7.355*y + (t^7.5*y)/(g1^2*g2) + g1^4*g2*t^7.645*y + (g1^2*t^7.79*y)/g2 + (t^8.419*y)/g1^8 + (g2*t^8.492*y)/g1^5 + (2*g2^2*t^8.565*y)/g1^2 + (t^8.637*y)/(g1^7*g2) + (2*t^8.71*y)/g1^4 + (3*g2*t^8.782*y)/g1 + g1^2*g2^2*t^8.855*y + (t^8.927*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55300 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}^{2}$ | 0.6942 | 0.8491 | 0.8176 | [M:[1.0, 1.0291, 0.9709, 0.9417, 1.0146, 1.0291], q:[0.4636, 0.5364], qb:[0.5073, 0.5219], phi:[0.4927]] | t^2.825 + t^2.956 + t^3. + t^3.044 + 2*t^3.087 + t^3.131 + t^4.26 + t^4.391 + t^4.434 + t^4.478 + t^4.522 + t^4.566 + 2*t^4.609 + t^4.653 + t^4.697 + t^5.65 + 2*t^5.913 - 2*t^6. - t^4.478/y - t^4.478*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46714 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7051 | 0.8629 | 0.8172 | [M:[0.9027, 1.0, 1.0, 0.9027, 1.0486], q:[0.4757, 0.6216], qb:[0.5243, 0.4757], phi:[0.4757]] | 2*t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.438 + 3*t^4.281 + 2*t^4.427 + t^4.573 + 2*t^4.719 + t^4.865 + t^5.157 + 3*t^5.416 + 4*t^5.708 + 2*t^5.854 - 2*t^6. - t^4.427/y - t^4.427*y | detail |