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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0]], M:[[0], [0], [1], [-1], [2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | 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. + 2*t^6.039 + t^6.079 + t^6.118 + 2*t^6.353 + 2*t^6.393 + t^6.432 + 3*t^6.667 + 3*t^6.706 + 2*t^6.746 + 2*t^6.98 + 2*t^7.02 + 4*t^7.059 + t^7.333 + 4*t^7.373 + t^7.412 + 4*t^7.686 + t^7.726 + t^7.765 - t^7.961 + 5*t^8. + 3*t^8.079 + t^8.118 + t^8.158 + 2*t^8.314 - 2*t^8.353 + 3*t^8.393 + 2*t^8.432 + t^8.472 - 2*t^8.667 + 4*t^8.706 + 4*t^8.746 + 2*t^8.785 + 2*t^8.941 - 5*t^8.98 - t^4.333/y - t^6.373/y - t^6.686/y - t^7.314/y + t^7.353/y + t^7.393/y + t^7.706/y + t^7.98/y + (3*t^8.02)/y + t^8.294/y + (2*t^8.333)/y + t^8.373/y - t^8.412/y + (2*t^8.647)/y + t^8.686/y + t^8.961/y - t^4.333*y - t^6.373*y - t^6.686*y - t^7.314*y + t^7.353*y + t^7.393*y + t^7.706*y + t^7.98*y + 3*t^8.02*y + t^8.294*y + 2*t^8.333*y + t^8.373*y - t^8.412*y + 2*t^8.647*y + t^8.686*y + t^8.961*y | g1^2*t^2.039 + g1*t^2.353 + t^2.667 + (2*t^2.98)/g1 + t^3.333 + g1*t^3.686 + 2*t^4. + g1^2*t^4.039 + g1^4*t^4.079 + t^4.314/g1 + g1*t^4.353 + g1^3*t^4.393 + t^4.667 + 2*g1^2*t^4.706 + 3*g1*t^5.02 + 3*t^5.333 + g1^2*t^5.373 + t^5.647/g1 + g1^3*t^5.726 + (2*t^5.961)/g1^2 - 2*t^6. + 2*g1^2*t^6.039 + g1^4*t^6.079 + g1^6*t^6.118 + 2*g1*t^6.353 + 2*g1^3*t^6.393 + g1^5*t^6.432 + 3*t^6.667 + 3*g1^2*t^6.706 + 2*g1^4*t^6.746 + (2*t^6.98)/g1 + 2*g1*t^7.02 + 4*g1^3*t^7.059 + t^7.333 + 4*g1^2*t^7.373 + g1^4*t^7.412 + 4*g1*t^7.686 + g1^3*t^7.726 + g1^5*t^7.765 - t^7.961/g1^2 + 5*t^8. + 3*g1^4*t^8.079 + g1^6*t^8.118 + g1^8*t^8.158 + (2*t^8.314)/g1 - 2*g1*t^8.353 + 3*g1^3*t^8.393 + 2*g1^5*t^8.432 + g1^7*t^8.472 - 2*t^8.667 + 4*g1^2*t^8.706 + 4*g1^4*t^8.746 + 2*g1^6*t^8.785 + (2*t^8.941)/g1^3 - (5*t^8.98)/g1 - t^4.333/y - (g1^2*t^6.373)/y - (g1*t^6.686)/y - t^7.314/(g1*y) + (g1*t^7.353)/y + (g1^3*t^7.393)/y + (g1^2*t^7.706)/y + t^7.98/(g1*y) + (3*g1*t^8.02)/y + t^8.294/(g1^2*y) + (2*t^8.333)/y + (g1^2*t^8.373)/y - (g1^4*t^8.412)/y + (2*t^8.647)/(g1*y) + (g1*t^8.686)/y + t^8.961/(g1^2*y) - t^4.333*y - g1^2*t^6.373*y - g1*t^6.686*y - (t^7.314*y)/g1 + g1*t^7.353*y + g1^3*t^7.393*y + g1^2*t^7.706*y + (t^7.98*y)/g1 + 3*g1*t^8.02*y + (t^8.294*y)/g1^2 + 2*t^8.333*y + g1^2*t^8.373*y - g1^4*t^8.412*y + (2*t^8.647*y)/g1 + g1*t^8.686*y + (t^8.961*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 50886 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ | 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]] | 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^4.333/y - t^4.333*y | detail | {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} |
| 55984 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6848 | 0.8468 | 0.8087 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 0.963, 0.7407], q:[0.7778, 0.5556], qb:[0.4074, 0.4815], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + 2*t^2.889 + t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 2*t^4.889 + 3*t^5.111 + 3*t^5.333 + 2*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 11981/17496, c: 1852/2187, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 26/27, M5: 20/27, q1: 7/9, q2: 5/9, qb1: 11/27, qb2: 13/27, phi1: 4/9} |
| 55981 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}^{2}$ | 0.6163 | 0.7622 | 0.8087 | [X:[1.3333], M:[0.6667, 1.1111, 0.9444, 0.8333, 1.0], q:[0.7778, 0.5556], qb:[0.2778, 0.6111], phi:[0.4444]] | 2*t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.333 + t^3.833 + 2*t^4. + t^4.167 + t^4.667 + t^4.833 + 3*t^5. + t^5.167 + 3*t^5.333 + 3*t^5.5 + 2*t^5.667 + t^5.833 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 355/576, c: 439/576, X1: 4/3, M1: 2/3, M2: 10/9, M3: 17/18, M4: 5/6, M5: 1, q1: 7/9, q2: 5/9, qb1: 5/18, qb2: 11/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46791 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6669 | 0.8127 | 0.8206 | [X:[1.3333], M:[0.6667, 1.1111, 0.7879, 0.9899], q:[0.7778, 0.5556], qb:[0.4343, 0.4545], phi:[0.4444]] | t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 3169/4752, c: 1931/2376, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/33, M4: 98/99, q1: 7/9, q2: 5/9, qb1: 43/99, qb2: 5/11, phi1: 4/9} |