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 |
|---|---|---|---|---|---|---|---|---|---|
| 251 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6426 | 0.8185 | 0.785 | [M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | [M:[[0, 1], [1, 0], [-2, 0], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.054 + t^2.446 + t^3. + 4*t^3.473 + t^3.554 + t^3.946 + 2*t^4.027 + 4*t^4.109 + 2*t^4.5 + t^4.891 + 2*t^5.054 + t^5.446 + 8*t^5.527 + 2*t^5.609 + 2*t^5.919 - 2*t^6. + 2*t^6.081 + 6*t^6.163 + t^6.391 + 2*t^6.473 + 3*t^6.554 + 9*t^6.946 + 2*t^7.027 + 4*t^7.109 + t^7.337 + 3*t^7.5 + 14*t^7.581 + 4*t^7.663 + t^7.891 + 2*t^7.973 - 5*t^8.054 + 4*t^8.136 + 9*t^8.217 + 2*t^8.364 - 2*t^8.446 + 2*t^8.527 + 4*t^8.609 + t^8.837 - t^4.5/y - (2*t^6.554)/y + (2*t^7.027)/y + t^7.109/y + (2*t^7.5)/y - (2*t^7.973)/y + (2*t^8.054)/y + (3*t^8.446)/y + (8*t^8.527)/y - t^8.609/y + (4*t^8.919)/y - t^4.5*y - 2*t^6.554*y + 2*t^7.027*y + t^7.109*y + 2*t^7.5*y - 2*t^7.973*y + 2*t^8.054*y + 3*t^8.446*y + 8*t^8.527*y - t^8.609*y + 4*t^8.919*y | t^2.054/g1^2 + t^2.054/g2^2 + g1*g2*t^2.446 + t^3. + 2*g1*t^3.473 + 2*g2*t^3.473 + t^3.554/(g1*g2) + g1*g2*t^3.946 + t^4.027/g1 + t^4.027/g2 + t^4.109/g1^4 + t^4.109/g2^4 + (2*t^4.109)/(g1^2*g2^2) + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1^2*g2^2*t^4.891 + t^5.054/g1^2 + t^5.054/g2^2 + g1*g2*t^5.446 + (2*t^5.527)/g1 + (2*g1*t^5.527)/g2^2 + (2*t^5.527)/g2 + (2*g2*t^5.527)/g1^2 + t^5.609/(g1*g2^3) + t^5.609/(g1^3*g2) + g1^2*g2*t^5.919 + g1*g2^2*t^5.919 - 2*t^6. + t^6.081/g1^3 + t^6.081/g2^3 + t^6.163/g1^6 + t^6.163/g2^6 + (2*t^6.163)/(g1^2*g2^4) + (2*t^6.163)/(g1^4*g2^2) + g1^2*g2^2*t^6.391 + g1*t^6.473 + g2*t^6.473 + (g1*t^6.554)/g2^3 + t^6.554/(g1*g2) + (g2*t^6.554)/g1^3 + 3*g1^2*t^6.946 + 3*g1*g2*t^6.946 + 3*g2^2*t^6.946 + t^7.027/g1 + t^7.027/g2 + t^7.109/g1^4 + t^7.109/g2^4 + (2*t^7.109)/(g1^2*g2^2) + g1^3*g2^3*t^7.337 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (2*t^7.581)/g1^3 + (2*g1*t^7.581)/g2^4 + (2*t^7.581)/g2^3 + (3*t^7.581)/(g1*g2^2) + (3*t^7.581)/(g1^2*g2) + (2*g2*t^7.581)/g1^4 + t^7.663/(g1*g2^5) + (2*t^7.663)/(g1^3*g2^3) + t^7.663/(g1^5*g2) + g1^2*g2^2*t^7.891 + (g1^2*t^7.973)/g2 + (g2^2*t^7.973)/g1 - (2*t^8.054)/g1^2 - (2*t^8.054)/g2^2 - t^8.054/(g1*g2) + t^8.136/g1^5 + t^8.136/g2^5 + t^8.136/(g1^2*g2^3) + t^8.136/(g1^3*g2^2) + t^8.217/g1^8 + t^8.217/g2^8 + (2*t^8.217)/(g1^2*g2^6) + (3*t^8.217)/(g1^4*g2^4) + (2*t^8.217)/(g1^6*g2^2) + g1^3*g2^2*t^8.364 + g1^2*g2^3*t^8.364 - 2*g1*g2*t^8.446 + (g1*t^8.527)/g2^2 + (g2*t^8.527)/g1^2 + (g1*t^8.609)/g2^5 + t^8.609/(g1*g2^3) + t^8.609/(g1^3*g2) + (g2*t^8.609)/g1^5 + g1^3*g2^3*t^8.837 - t^4.5/y - t^6.554/(g1^2*y) - t^6.554/(g2^2*y) + t^7.027/(g1*y) + t^7.027/(g2*y) + t^7.109/(g1^2*g2^2*y) + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) - (g1*t^7.973)/y - (g2*t^7.973)/y + t^8.054/(g1^2*y) + t^8.054/(g2^2*y) + (g1^2*t^8.446)/y + (g1*g2*t^8.446)/y + (g2^2*t^8.446)/y + (2*t^8.527)/(g1*y) + (2*g1*t^8.527)/(g2^2*y) + (2*t^8.527)/(g2*y) + (2*g2*t^8.527)/(g1^2*y) - t^8.609/(g1^4*y) - t^8.609/(g2^4*y) + t^8.609/(g1*g2^3*y) - t^8.609/(g1^2*g2^2*y) + t^8.609/(g1^3*g2*y) + (2*g1^2*g2*t^8.919)/y + (2*g1*g2^2*t^8.919)/y - t^4.5*y - (t^6.554*y)/g1^2 - (t^6.554*y)/g2^2 + (t^7.027*y)/g1 + (t^7.027*y)/g2 + (t^7.109*y)/(g1^2*g2^2) + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 - g1*t^7.973*y - g2*t^7.973*y + (t^8.054*y)/g1^2 + (t^8.054*y)/g2^2 + g1^2*t^8.446*y + g1*g2*t^8.446*y + g2^2*t^8.446*y + (2*t^8.527*y)/g1 + (2*g1*t^8.527*y)/g2^2 + (2*t^8.527*y)/g2 + (2*g2*t^8.527*y)/g1^2 - (t^8.609*y)/g1^4 - (t^8.609*y)/g2^4 + (t^8.609*y)/(g1*g2^3) - (t^8.609*y)/(g1^2*g2^2) + (t^8.609*y)/(g1^3*g2) + 2*g1^2*g2*t^8.919*y + 2*g1*g2^2*t^8.919*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 |
|---|---|---|---|---|---|---|---|---|
| 1756 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6373 | 0.8105 | 0.7863 | [M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | t^2.054 + 2*t^2.315 + t^3. + 2*t^3.342 + 2*t^3.473 + t^3.685 + t^3.815 + t^4.027 + t^4.109 + t^4.158 + 3*t^4.37 + 3*t^4.63 + t^5.054 + 2*t^5.315 + 2*t^5.397 + 2*t^5.527 + 3*t^5.658 + t^5.739 + 3*t^5.788 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6219 | 0.7787 | 0.7986 | [M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.041 + t^2.433 + t^3. + 2*t^3.453 + 2*t^3.479 + t^3.567 + t^3.906 + t^3.933 + t^4.021 + t^4.047 + t^4.083 + t^4.135 + t^4.474 + t^4.865 + t^5.041 + t^5.433 + 2*t^5.495 + 2*t^5.521 + t^5.609 + t^5.886 + t^5.912 + t^5.948 - 2*t^6. - t^4.5/y - t^4.5*y | detail |