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 |
|---|---|---|---|---|---|---|---|---|---|
| 367 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | [M:[[1, -1], [-1, -3], [-1, 1], [1, -5]], q:[[0, -1], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. + 2*t^6.422 + t^6.616 + 4*t^6.73 + 8*t^7.038 + 4*t^7.152 + 7*t^7.346 + 3*t^7.46 + 6*t^7.654 + 6*t^7.768 + 3*t^7.962 + 4*t^8.076 - 2*t^8.384 - 2*t^8.692 + 3*t^8.806 - t^4.346/y - (2*t^6.73)/y - t^7.038/y + t^7.654/y + t^7.768/y + (2*t^7.962)/y + (2*t^8.076)/y + (4*t^8.384)/y + (6*t^8.692)/y - t^4.346*y - 2*t^6.73*y - t^7.038*y + t^7.654*y + t^7.768*y + 2*t^7.962*y + 2*t^8.076*y + 4*t^8.384*y + 6*t^8.692*y | (g1*t^2.384)/g2^5 + t^2.384/(g1*g2^3) + t^2.692/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + 2*g2^2*t^3.308 + t^4.038/g2^3 + t^4.346/g1 + (g1*t^4.346)/g2^2 + (g1^2*t^4.654)/g2 + 2*g2*t^4.654 + (g2^3*t^4.654)/g1^2 + (g1^2*t^4.768)/g2^10 + t^4.768/g2^8 + t^4.768/(g1^2*g2^6) + g1*g2^2*t^4.962 + (g2^4*t^4.962)/g1 + (g1*t^5.076)/g2^7 + t^5.076/(g1*g2^5) + g2^5*t^5.27 + (g1^2*t^5.384)/g2^6 + (2*t^5.384)/g2^4 + t^5.384/(g1^2*g2^2) + (g1*t^5.692)/g2^3 + t^5.692/(g1*g2) - t^6. + (g1*t^6.422)/g2^8 + t^6.422/(g1*g2^6) + g2^4*t^6.616 + (g1^2*t^6.73)/g2^7 + (2*t^6.73)/g2^5 + t^6.73/(g1^2*g2^3) + t^7.038/g1^3 + (g1^3*t^7.038)/g2^6 + (3*g1*t^7.038)/g2^4 + (3*t^7.038)/(g1*g2^2) + (g1^3*t^7.152)/g2^15 + (g1*t^7.152)/g2^13 + t^7.152/(g1*g2^11) + t^7.152/(g1^3*g2^9) + (2*g1^2*t^7.346)/g2^3 + (3*t^7.346)/g2 + (2*g2*t^7.346)/g1^2 + (g1^2*t^7.46)/g2^12 + t^7.46/g2^10 + t^7.46/(g1^2*g2^8) + 2*g1*t^7.654 + (g1^3*t^7.654)/g2^2 + (2*g2^2*t^7.654)/g1 + (g2^4*t^7.654)/g1^3 + (g1^3*t^7.768)/g2^11 + (2*g1*t^7.768)/g2^9 + (2*t^7.768)/(g1*g2^7) + t^7.768/(g1^3*g2^5) + g1^2*g2*t^7.962 + g2^3*t^7.962 + (g2^5*t^7.962)/g1^2 + (g1^2*t^8.076)/g2^8 + (2*t^8.076)/g2^6 + t^8.076/(g1^2*g2^4) - (g1*t^8.384)/g2^5 - t^8.384/(g1*g2^3) - (2*t^8.692)/g2^2 + (g1^2*t^8.806)/g2^13 + t^8.806/g2^11 + t^8.806/(g1^2*g2^9) - t^4.346/(g2*y) - (g1*t^6.73)/(g2^6*y) - t^6.73/(g1*g2^4*y) - t^7.038/(g2^3*y) + (g2*t^7.654)/y + t^7.768/(g2^8*y) + (g1*g2^2*t^7.962)/y + (g2^4*t^7.962)/(g1*y) + (g1*t^8.076)/(g2^7*y) + t^8.076/(g1*g2^5*y) + (g1^2*t^8.384)/(g2^6*y) + (2*t^8.384)/(g2^4*y) + t^8.384/(g1^2*g2^2*y) + (3*g1*t^8.692)/(g2^3*y) + (3*t^8.692)/(g1*g2*y) - (t^4.346*y)/g2 - (g1*t^6.73*y)/g2^6 - (t^6.73*y)/(g1*g2^4) - (t^7.038*y)/g2^3 + g2*t^7.654*y + (t^7.768*y)/g2^8 + g1*g2^2*t^7.962*y + (g2^4*t^7.962*y)/g1 + (g1*t^8.076*y)/g2^7 + (t^8.076*y)/(g1*g2^5) + (g1^2*t^8.384*y)/g2^6 + (2*t^8.384*y)/g2^4 + (t^8.384*y)/(g1^2*g2^2) + (3*g1*t^8.692*y)/g2^3 + (3*t^8.692*y)/(g1*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 |
|---|---|---|---|---|---|---|---|---|
| 585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7183 | 0.8774 | 0.8187 | [M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | 2*t^2.456 + 2*t^3. + 3*t^3.272 + t^4.092 + 2*t^4.364 + 4*t^4.636 + 2*t^4.908 + 3*t^4.912 + t^5.18 + 3*t^5.456 + 2*t^5.728 - 3*t^6. - t^4.364/y - t^4.364*y | detail | |
| 1828 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6208 | 0.7591 | 0.8178 | [X:[1.509], M:[0.787, 0.917, 1.213, 0.491], q:[0.426, 0.787], qb:[0.361, 0.722], phi:[0.426]] | t^2.361 + t^2.556 + t^2.751 + 3*t^3.444 + 2*t^3.639 + t^3.834 + 2*t^4.527 + 2*t^4.722 + t^5.112 + t^5.307 + t^5.502 + t^5.61 + 2*t^5.805 + t^6. - t^4.278/y - t^4.278*y | detail | |
| 1827 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6202 | 0.7595 | 0.8166 | [X:[1.6143], M:[1.1571, 0.3857, 0.8429, 0.6998], q:[0.3857, 0.4573], qb:[0.7714, 0.8429], phi:[0.3857]] | t^2.099 + t^2.314 + t^2.529 + 2*t^3.471 + 3*t^3.686 + t^3.901 + t^4.199 + t^4.414 + 2*t^4.628 + 2*t^4.843 + t^5.058 + 2*t^5.571 + 3*t^5.785 + t^6. - t^4.157/y - t^4.157*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7272 | 0.8931 | 0.8142 | [M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y | detail |