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 |
|---|---|---|---|---|---|---|---|---|---|
| 50886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6002 | 0.7437 | 0.807 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10501/17496, c: 3253/4374, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | 2*t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 2*t^5.111 + 3*t^5.333 + 3*t^5.556 + 2*t^5.778 - t^6. + t^6.222 + 3*t^6.444 + 3*t^6.667 + t^6.889 + 2*t^7.111 + 4*t^7.333 + 2*t^7.556 + 5*t^7.778 + 7*t^8. + 4*t^8.222 - t^8.444 + t^8.667 - t^4.333/y - t^6.778/y + (2*t^7.889)/y + (2*t^8.111)/y + (2*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y + 2*t^7.889*y + 2*t^8.111*y + 2*t^8.333*y + 3*t^8.556*y + 3*t^8.778*y | 2*t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 2*t^5.111 + 3*t^5.333 + 3*t^5.556 + 2*t^5.778 - t^6. + t^6.222 + 3*t^6.444 + 3*t^6.667 + t^6.889 + 2*t^7.111 + 4*t^7.333 + 2*t^7.556 + 5*t^7.778 + 7*t^8. + 4*t^8.222 - t^8.444 + t^8.667 - t^4.333/y - t^6.778/y + (2*t^7.889)/y + (2*t^8.111)/y + (2*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y + 2*t^7.889*y + 2*t^8.111*y + 2*t^8.333*y + 3*t^8.556*y + 3*t^8.778*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 |
|---|---|---|---|---|---|---|---|---|
| 56030 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6102 | 0.7607 | 0.8022 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 0.8889], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | 2*t^2.444 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 4*t^5.111 + 5*t^5.333 + 4*t^5.556 + t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 21353/34992, c: 13309/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 8/9, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| 56028 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ | 0.5967 | 0.7379 | 0.8087 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 1.037], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | 2*t^2.444 + t^2.667 + 2*t^3.111 + t^3.333 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 2*t^5.111 + t^5.333 + 4*t^5.556 + 2*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 20881/34992, c: 12911/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 28/27, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| 56022 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5846 | 0.7166 | 0.8159 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 1.1852], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + 2*t^5.556 + t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 2273/3888, c: 1393/1944, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 32/27, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| 56029 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6037 | 0.7495 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 0.963], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | 2*t^2.444 + t^2.667 + 2*t^2.889 + t^3.333 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 2*t^5.111 + 5*t^5.333 + 2*t^5.556 + 3*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2347/3888, c: 1457/1944, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 26/27, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| 56031 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6196 | 0.7793 | 0.795 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 0.7407], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | t^2.222 + 2*t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + 2*t^4. + t^4.222 + t^4.444 + 3*t^4.667 + 4*t^4.889 + 3*t^5.111 + 4*t^5.333 + 4*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 803/1296, c: 505/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 20/27, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
| 56026 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5902 | 0.7267 | 0.8121 | [X:[1.3333], M:[0.6667, 1.1111, 0.963, 0.8148, 1.037, 1.1111], q:[0.7778, 0.5556], qb:[0.2593, 0.6296], phi:[0.4444]] | 2*t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + 3*t^4.889 + 2*t^5.333 + 2*t^5.556 + 3*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 20651/34992, c: 12715/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/27, M4: 22/27, M5: 28/27, M6: 10/9, q1: 7/9, q2: 5/9, qb1: 7/27, qb2: 17/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48280 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6876 | 0.8535 | 0.8057 | [X:[1.3333], M:[0.6667, 1.1111, 0.7844, 0.9934, 0.6798], q:[0.7778, 0.5556], qb:[0.4379, 0.451], phi:[0.4444]] | t^2.039 + t^2.353 + t^2.667 + 2*t^2.98 + t^3.333 + t^3.686 + 2*t^4. + t^4.039 + t^4.079 + t^4.314 + t^4.353 + t^4.393 + t^4.667 + 2*t^4.706 + 3*t^5.02 + 3*t^5.333 + t^5.373 + t^5.647 + t^5.726 + 2*t^5.961 - 2*t^6. - t^4.333/y - t^4.333*y | detail |