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 |
|---|---|---|---|---|---|---|---|---|---|
| 45839 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.6927 | 0.8507 | 0.8143 | [M:[0.9724], q:[0.4996, 0.528], qb:[0.4996, 0.4728], phi:[0.5]] | [M:[[1, 1]], q:[[1, 0], [-2, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. + t^6.002 + t^6.005 - t^6.081 + t^6.083 - t^6.085 + 3*t^7.254 + 5*t^7.334 + t^7.339 + 7*t^7.415 + 2*t^7.419 + 3*t^7.495 + 2*t^7.5 + t^7.505 + t^7.581 + 2*t^7.585 + t^7.666 + t^7.67 + t^7.751 + t^8.673 + 7*t^8.752 + 2*t^8.754 + t^8.832 + 8*t^8.834 - t^8.837 + t^8.839 + t^8.913 + 5*t^8.915 - 10*t^8.917 + 3*t^8.919 + t^8.922 + t^8.993 + 6*t^8.995 - 8*t^8.998 - t^4.5/y - t^7.417/y + t^7.583/y + (3*t^8.834)/y + (3*t^8.915)/y + (3*t^8.917)/y + (3*t^8.919)/y + t^8.998/y - t^4.5*y - t^7.417*y + t^7.583*y + 3*t^8.834*y + 3*t^8.915*y + 3*t^8.917*y + 3*t^8.919*y + t^8.998*y | 3*g1*g2*t^2.917 + g1^2*t^2.998 + t^3. + t^3.002/g1^2 + t^3.083/(g1*g2) + g2^2*t^4.337 + 2*g1*g2*t^4.417 + 3*g1^2*t^4.498 + t^4.502/g1^2 + (2*t^4.583)/(g1*g2) + t^4.668/(g1^4*g2^2) + 5*g1^2*g2^2*t^5.834 + g1^3*g2*t^5.915 + 3*g1*g2*t^5.917 + (g2*t^5.919)/g1 + g1^4*t^5.995 + g1^2*t^5.998 - 2*t^6. + t^6.002/g1^2 + t^6.005/g1^4 - (g1*t^6.081)/g2 + t^6.083/(g1*g2) - t^6.085/(g1^3*g2) + 3*g1*g2^3*t^7.254 + 5*g1^2*g2^2*t^7.334 + (g2^2*t^7.339)/g1^2 + 7*g1^3*g2*t^7.415 + (2*g2*t^7.419)/g1 + 3*g1^4*t^7.495 + 2*t^7.5 + t^7.505/g1^4 + (g1*t^7.581)/g2 + (2*t^7.585)/(g1^3*g2) + t^7.666/(g1^2*g2^2) + t^7.67/(g1^6*g2^2) + t^7.751/(g1^5*g2^3) + g2^4*t^8.673 + 7*g1^3*g2^3*t^8.752 + 2*g1*g2^3*t^8.754 + g1^4*g2^2*t^8.832 + 8*g1^2*g2^2*t^8.834 - g2^2*t^8.837 + (g2^2*t^8.839)/g1^2 + g1^5*g2*t^8.913 + 5*g1^3*g2*t^8.915 - 10*g1*g2*t^8.917 + (3*g2*t^8.919)/g1 + (g2*t^8.922)/g1^3 + g1^6*t^8.993 + 6*g1^4*t^8.995 - 8*g1^2*t^8.998 - t^4.5/y - (g1*g2*t^7.417)/y + t^7.583/(g1*g2*y) + (3*g1^2*g2^2*t^8.834)/y + (3*g1^3*g2*t^8.915)/y + (3*g1*g2*t^8.917)/y + (3*g2*t^8.919)/(g1*y) + (g1^2*t^8.998)/y - t^4.5*y - g1*g2*t^7.417*y + (t^7.583*y)/(g1*g2) + 3*g1^2*g2^2*t^8.834*y + 3*g1^3*g2*t^8.915*y + 3*g1*g2*t^8.917*y + (3*g2*t^8.919*y)/g1 + g1^2*t^8.998*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 |
|---|---|---|---|---|---|---|---|---|
| 45902 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6952 | 0.8564 | 0.8117 | [M:[0.9738, 0.9466], q:[0.5267, 0.4995], qb:[0.5267, 0.4471], phi:[0.5]] | 2*t^2.84 + 3*t^2.921 + t^3. + t^3.079 + t^4.182 + t^4.34 + 2*t^4.421 + t^4.497 + 2*t^4.579 + 3*t^4.66 + 3*t^5.679 + 4*t^5.761 + 2*t^5.84 + 5*t^5.843 + 3*t^5.921 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45878 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6953 | 0.8568 | 0.8115 | [M:[0.9708, 0.9451], q:[0.4726, 0.5566], qb:[0.4726, 0.4983], phi:[0.5]] | 2*t^2.835 + 3*t^2.913 + t^3. + t^3.087 + 3*t^4.335 + 2*t^4.413 + t^4.49 + 2*t^4.587 + t^4.665 + t^4.84 + 3*t^5.671 + 4*t^5.748 + 5*t^5.825 + 2*t^5.835 + 3*t^5.913 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45881 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6434 | 0.8105 | 0.7939 | [M:[0.8275], q:[0.4225, 0.75], qb:[0.4225, 0.4051], phi:[0.5]] | 3*t^2.483 + t^2.535 + t^3. + t^3.465 + t^3.517 + t^3.931 + 2*t^3.983 + 3*t^4.035 + 6*t^4.965 + 3*t^5.017 + t^5.069 + 3*t^5.483 + t^5.535 + t^5.948 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 45931 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6923 | 0.8497 | 0.8147 | [M:[0.9812], q:[0.4906, 0.5282], qb:[0.4906, 0.4906], phi:[0.5]] | 4*t^2.944 + t^3. + 2*t^3.056 + 6*t^4.444 + 3*t^4.556 + t^4.669 + 7*t^5.887 + 4*t^5.944 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45925 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6923 | 0.8496 | 0.8148 | [M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]] | 4*t^2.946 + t^3. + 2*t^3.054 + t^4.337 + 3*t^4.446 + 6*t^4.554 + 7*t^5.891 + 4*t^5.946 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ | 0.694 | 0.8536 | 0.813 | [M:[0.9459], q:[0.527, 0.527], qb:[0.473, 0.473], phi:[0.5]] | 2*t^2.838 + 5*t^3. + 3*t^4.338 + 4*t^4.5 + 3*t^4.662 + 3*t^5.675 + 6*t^5.838 + 6*t^6. - t^4.5/y - t^4.5*y | detail |