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 |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.049 + t^2.309 + t^2.667 + t^2.975 + t^3.025 + t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^4.716 + t^4.975 + t^5.025 + t^5.074 + t^5.284 + 2*t^5.333 + t^5.383 + t^5.642 + t^5.691 + t^5.951 - t^6. + 2*t^6.049 + t^6.099 + t^6.148 + 2*t^6.309 + t^6.358 + 2*t^6.407 + 2*t^6.617 + 3*t^6.667 + 2*t^6.716 + t^6.765 + t^6.926 + 2*t^6.975 + 2*t^7.025 + 2*t^7.074 + t^7.123 + t^7.284 + 2*t^7.333 + 2*t^7.383 + t^7.432 + t^7.593 + 3*t^7.642 + t^7.691 + t^7.741 + t^7.951 + 3*t^8. + 3*t^8.099 + t^8.148 + t^8.198 + t^8.259 - t^8.309 + 2*t^8.358 + 2*t^8.407 + 2*t^8.457 + t^8.617 + t^8.667 + 3*t^8.716 + 2*t^8.765 + t^8.815 + 2*t^8.926 + t^8.975 - t^4.333/y - t^6.383/y - t^6.642/y + t^7.358/y + t^7.716/y + t^7.975/y + (2*t^8.025)/y + t^8.074/y + (2*t^8.284)/y + t^8.333/y + t^8.383/y - t^8.432/y + (2*t^8.642)/y + t^8.691/y - t^4.333*y - t^6.383*y - t^6.642*y + t^7.358*y + t^7.716*y + t^7.975*y + 2*t^8.025*y + t^8.074*y + 2*t^8.284*y + t^8.333*y + t^8.383*y - t^8.432*y + 2*t^8.642*y + t^8.691*y | t^2.049/g1^2 + g1*t^2.309 + t^2.667 + g1*t^2.975 + t^3.025/g1 + t^3.333 + g1*t^3.642 + 2*t^4. + t^4.049/g1^2 + t^4.099/g1^4 + g1*t^4.309 + (2*t^4.358)/g1 + g1^2*t^4.617 + t^4.667 + t^4.716/g1^2 + g1*t^4.975 + t^5.025/g1 + t^5.074/g1^3 + g1^2*t^5.284 + 2*t^5.333 + t^5.383/g1^2 + g1*t^5.642 + t^5.691/g1 + g1^2*t^5.951 - t^6. + (2*t^6.049)/g1^2 + t^6.099/g1^4 + t^6.148/g1^6 + 2*g1*t^6.309 + t^6.358/g1 + (2*t^6.407)/g1^3 + 2*g1^2*t^6.617 + 3*t^6.667 + (2*t^6.716)/g1^2 + t^6.765/g1^4 + g1^3*t^6.926 + 2*g1*t^6.975 + (2*t^7.025)/g1 + (2*t^7.074)/g1^3 + t^7.123/g1^5 + g1^2*t^7.284 + 2*t^7.333 + (2*t^7.383)/g1^2 + t^7.432/g1^4 + g1^3*t^7.593 + 3*g1*t^7.642 + t^7.691/g1 + t^7.741/g1^3 + g1^2*t^7.951 + 3*t^8. + (3*t^8.099)/g1^4 + t^8.148/g1^6 + t^8.198/g1^8 + g1^3*t^8.259 - g1*t^8.309 + (2*t^8.358)/g1 + (2*t^8.407)/g1^3 + (2*t^8.457)/g1^5 + g1^2*t^8.617 + t^8.667 + (3*t^8.716)/g1^2 + (2*t^8.765)/g1^4 + t^8.815/g1^6 + 2*g1^3*t^8.926 + g1*t^8.975 - t^4.333/y - t^6.383/(g1^2*y) - (g1*t^6.642)/y + t^7.358/(g1*y) + t^7.716/(g1^2*y) + (g1*t^7.975)/y + (2*t^8.025)/(g1*y) + t^8.074/(g1^3*y) + (2*g1^2*t^8.284)/y + t^8.333/y + t^8.383/(g1^2*y) - t^8.432/(g1^4*y) + (2*g1*t^8.642)/y + t^8.691/(g1*y) - t^4.333*y - (t^6.383*y)/g1^2 - g1*t^6.642*y + (t^7.358*y)/g1 + (t^7.716*y)/g1^2 + g1*t^7.975*y + (2*t^8.025*y)/g1 + (t^8.074*y)/g1^3 + 2*g1^2*t^8.284*y + t^8.333*y + (t^8.383*y)/g1^2 - (t^8.432*y)/g1^4 + 2*g1*t^8.642*y + (t^8.691*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48295 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6977 | 0.8708 | 0.8012 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831, 0.8889], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.049 + t^2.309 + 2*t^2.667 + t^2.975 + t^3.025 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + 2*t^4.716 + 2*t^4.975 + t^5.025 + t^5.074 + t^5.284 + 4*t^5.333 + t^5.642 + 2*t^5.691 + t^5.951 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 46895 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{3}X_{2}$ | 0.5463 | 0.6713 | 0.8138 | [X:[1.3333, 1.4444], M:[0.6667, 1.1111, 0.5556, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | t^2.333 + t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + 2*t^4. + t^4.333 + t^4.667 + t^5. + 3*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 59/108, c: 145/216, X1: 4/3, X2: 13/9, M1: 2/3, M2: 10/9, M3: 5/9, M4: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| 48127 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}X_{2}$ | 0.5968 | 0.7288 | 0.819 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.333 + t^3.5 + t^3.833 + 2*t^4. + t^4.167 + t^4.667 + t^4.833 + t^5. + t^5.333 + t^5.5 + 2*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 1547/2592, c: 1889/2592, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| 47263 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6777 | 0.8369 | 0.8098 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831, 1.1111], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.049 + t^2.309 + t^2.975 + t^3.025 + 2*t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^5.025 + t^5.074 + t^5.284 + t^5.333 + 2*t^5.383 + t^5.642 + t^5.951 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 47228 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6892 | 0.8559 | 0.8053 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | t^2.14 + t^2.263 + t^2.667 + 2*t^2.93 + t^3.333 + t^3.597 + 2*t^4. + t^4.14 + t^4.263 + t^4.28 + 2*t^4.403 + t^4.527 + t^4.667 + t^4.807 + t^4.93 + 2*t^5.07 + 2*t^5.193 + t^5.333 + t^5.473 + 2*t^5.597 + 3*t^5.86 - 2*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46306 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.667 | 0.8136 | 0.8198 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | t^2.296 + t^2.667 + t^2.962 + t^3.038 + t^3.333 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + t^4.962 + t^5.258 + 2*t^5.333 + t^5.629 + t^5.924 - t^6. - t^4.333/y - t^4.333*y | detail |