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 |
|---|---|---|---|---|---|---|---|---|---|
| 46050 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.7051 | 0.8546 | 0.8251 | [M:[0.9277, 1.0, 1.0], q:[0.6084, 0.4639], qb:[0.5361, 0.5361], phi:[0.4639]] | [M:[[-2, -2], [-1, 1], [1, -1]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.783 + 2*t^3. + t^3.217 + 2*t^3.434 + t^4.175 + 2*t^4.392 + 4*t^4.608 + 2*t^4.825 + t^5.042 + 2*t^5.566 - t^6. + 2*t^6.217 + 3*t^6.434 + 2*t^6.65 + 3*t^6.867 + t^6.958 + 2*t^7.175 + 6*t^7.392 + 6*t^7.608 + 4*t^7.825 + 6*t^8.042 + 3*t^8.259 + 4*t^8.35 + 2*t^8.475 - 3*t^8.783 - t^4.392/y - (2*t^7.175)/y + (2*t^7.608)/y + t^8.566/y + (4*t^8.783)/y - t^4.392*y - 2*t^7.175*y + 2*t^7.608*y + t^8.566*y + 4*t^8.783*y | (2*t^2.783)/(g1^2*g2^2) + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g1^2*g2^2*t^3.217 + g1^5*g2^3*t^3.434 + g1^3*g2^5*t^3.434 + t^4.175/(g1^3*g2^3) + t^4.392/g1^2 + t^4.392/g2^2 + (g1^3*t^4.608)/g2 + 2*g1*g2*t^4.608 + (g2^3*t^4.608)/g1 + g1^4*g2^2*t^4.825 + g1^2*g2^4*t^4.825 + g1^5*g2^5*t^5.042 + (2*t^5.566)/(g1^4*g2^4) - t^6. + g1^3*g2*t^6.217 + g1*g2^3*t^6.217 + g1^6*g2^2*t^6.434 + g1^4*g2^4*t^6.434 + g1^2*g2^6*t^6.434 + g1^7*g2^5*t^6.65 + g1^5*g2^7*t^6.65 + g1^10*g2^6*t^6.867 + g1^8*g2^8*t^6.867 + g1^6*g2^10*t^6.867 + t^6.958/(g1^5*g2^5) + t^7.175/(g1^2*g2^4) + t^7.175/(g1^4*g2^2) + (2*g1*t^7.392)/g2^3 + (2*t^7.392)/(g1*g2) + (2*g2*t^7.392)/g1^3 + 2*g1^2*t^7.608 + (g1^4*t^7.608)/g2^2 + 2*g2^2*t^7.608 + (g2^4*t^7.608)/g1^2 + g1^5*g2*t^7.825 + 2*g1^3*g2^3*t^7.825 + g1*g2^5*t^7.825 + g1^8*g2^2*t^8.042 + 2*g1^6*g2^4*t^8.042 + 2*g1^4*g2^6*t^8.042 + g1^2*g2^8*t^8.042 + g1^9*g2^5*t^8.259 + g1^7*g2^7*t^8.259 + g1^5*g2^9*t^8.259 + (4*t^8.35)/(g1^6*g2^6) + g1^10*g2^8*t^8.475 + g1^8*g2^10*t^8.475 - (3*t^8.783)/(g1^2*g2^2) - t^4.392/(g1*g2*y) - (2*t^7.175)/(g1^3*g2^3*y) + (2*g1*g2*t^7.608)/y + t^8.566/(g1^4*g2^4*y) + (2*t^8.783)/(g1*g2^3*y) + (2*t^8.783)/(g1^3*g2*y) - (t^4.392*y)/(g1*g2) - (2*t^7.175*y)/(g1^3*g2^3) + 2*g1*g2*t^7.608*y + (t^8.566*y)/(g1^4*g2^4) + (2*t^8.783*y)/(g1*g2^3) + (2*t^8.783*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 |
|---|---|---|---|---|---|---|---|---|
| 46214 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.9814, 0.7904], q:[0.6433, 0.4522], qb:[0.5292, 0.5663], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail | |
| 46307 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6178 | 0.7527 | 0.8207 | [M:[0.7725, 1.1587, 0.8413], q:[0.8413, 0.3862], qb:[0.455, 0.7725], phi:[0.3862]] | 2*t^2.317 + t^2.524 + 2*t^3.476 + 2*t^3.683 + 2*t^3.889 + 3*t^4.635 + 3*t^4.841 + t^5.048 + 2*t^5.794 + t^6. - t^4.159/y - t^4.159*y | detail | |
| 46273 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6675 | 0.805 | 0.8292 | [M:[0.8, 1.0, 1.0], q:[0.8, 0.4], qb:[0.6, 0.6], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 6*t^4.8 + 2*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 267/400, c: 161/200, M1: 4/5, M2: 1, M3: 1, q1: 4/5, q2: 2/5, qb1: 3/5, qb2: 3/5, phi1: 2/5} |
| 46123 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6277 | 0.7724 | 0.8127 | [M:[0.8767, 1.2192, 0.7808], q:[0.6849, 0.4384], qb:[0.3425, 0.7808], phi:[0.4384]] | t^2.342 + 2*t^2.63 + t^3.082 + 2*t^3.37 + 2*t^3.658 + t^3.945 + 2*t^4.397 + 2*t^4.685 + t^4.973 + 2*t^5.26 + 2*t^5.425 + 3*t^5.712 + 2*t^6. - t^4.315/y - t^4.315*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45875 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.7566 | 0.9235 | 0.8193 | [M:[0.7979, 0.7634, 0.7634], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]] | 2*t^2.29 + 2*t^2.394 + 2*t^3.503 + t^3.606 + 3*t^4.58 + t^4.596 + 4*t^4.684 + 2*t^4.699 + 3*t^4.788 + 4*t^4.803 + 2*t^4.907 + t^5.01 + 3*t^5.793 + 2*t^5.896 - 4*t^6. - t^4.197/y - t^4.197*y | detail |