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 | $M_1q_1q_2$ + $ \phi_1q_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_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_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_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ \phi_1q_2^2$, $ M_3^2$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_5$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | t^2.04 + t^2.35 + t^2.67 + 2*t^2.98 + t^3.33 + t^3.69 + 2*t^4. + t^4.04 + t^4.08 + t^4.31 + t^4.35 + t^4.39 + t^4.67 + 2*t^4.71 + 3*t^5.02 + 3*t^5.33 + t^5.37 + t^5.65 + t^5.73 + 2*t^5.96 - 2*t^6. + 2*t^6.04 + t^6.08 + t^6.12 + 2*t^6.35 + 2*t^6.39 + t^6.43 + 3*t^6.67 + 3*t^6.71 + 2*t^6.75 + 2*t^6.98 + 2*t^7.02 + 4*t^7.06 + t^7.33 + 4*t^7.37 + t^7.41 + 4*t^7.69 + t^7.73 + t^7.77 - t^7.96 + 5*t^8. + 3*t^8.08 + t^8.12 + t^8.16 + 2*t^8.31 - 2*t^8.35 + 3*t^8.39 + 2*t^8.43 + t^8.47 - 2*t^8.67 + 4*t^8.71 + 4*t^8.75 + 2*t^8.79 + 2*t^8.94 - 5*t^8.98 - t^4.33/y - t^6.37/y - t^6.69/y - t^7.31/y + t^7.35/y + t^7.39/y + t^7.71/y + t^7.98/y + (3*t^8.02)/y + t^8.29/y + (2*t^8.33)/y + t^8.37/y - t^8.41/y + (2*t^8.65)/y + t^8.69/y + t^8.96/y - t^4.33*y - t^6.37*y - t^6.69*y - t^7.31*y + t^7.35*y + t^7.39*y + t^7.71*y + t^7.98*y + 3*t^8.02*y + t^8.29*y + 2*t^8.33*y + t^8.37*y - t^8.41*y + 2*t^8.65*y + t^8.69*y + t^8.96*y | g1^2*t^2.04 + g1*t^2.35 + t^2.67 + (2*t^2.98)/g1 + t^3.33 + g1*t^3.69 + 2*t^4. + g1^2*t^4.04 + g1^4*t^4.08 + t^4.31/g1 + g1*t^4.35 + g1^3*t^4.39 + t^4.67 + 2*g1^2*t^4.71 + 3*g1*t^5.02 + 3*t^5.33 + g1^2*t^5.37 + t^5.65/g1 + g1^3*t^5.73 + (2*t^5.96)/g1^2 - 2*t^6. + 2*g1^2*t^6.04 + g1^4*t^6.08 + g1^6*t^6.12 + 2*g1*t^6.35 + 2*g1^3*t^6.39 + g1^5*t^6.43 + 3*t^6.67 + 3*g1^2*t^6.71 + 2*g1^4*t^6.75 + (2*t^6.98)/g1 + 2*g1*t^7.02 + 4*g1^3*t^7.06 + t^7.33 + 4*g1^2*t^7.37 + g1^4*t^7.41 + 4*g1*t^7.69 + g1^3*t^7.73 + g1^5*t^7.77 - t^7.96/g1^2 + 5*t^8. + 3*g1^4*t^8.08 + g1^6*t^8.12 + g1^8*t^8.16 + (2*t^8.31)/g1 - 2*g1*t^8.35 + 3*g1^3*t^8.39 + 2*g1^5*t^8.43 + g1^7*t^8.47 - 2*t^8.67 + 4*g1^2*t^8.71 + 4*g1^4*t^8.75 + 2*g1^6*t^8.79 + (2*t^8.94)/g1^3 - (5*t^8.98)/g1 - t^4.33/y - (g1^2*t^6.37)/y - (g1*t^6.69)/y - t^7.31/(g1*y) + (g1*t^7.35)/y + (g1^3*t^7.39)/y + (g1^2*t^7.71)/y + t^7.98/(g1*y) + (3*g1*t^8.02)/y + t^8.29/(g1^2*y) + (2*t^8.33)/y + (g1^2*t^8.37)/y - (g1^4*t^8.41)/y + (2*t^8.65)/(g1*y) + (g1*t^8.69)/y + t^8.96/(g1^2*y) - t^4.33*y - g1^2*t^6.37*y - g1*t^6.69*y - (t^7.31*y)/g1 + g1*t^7.35*y + g1^3*t^7.39*y + g1^2*t^7.71*y + (t^7.98*y)/g1 + 3*g1*t^8.02*y + (t^8.29*y)/g1^2 + 2*t^8.33*y + g1^2*t^8.37*y - g1^4*t^8.41*y + (2*t^8.65*y)/g1 + g1*t^8.69*y + (t^8.96*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 | $M_1q_1q_2$ + $ \phi_1q_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_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_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^2.44 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + 3*t^4.89 + 2*t^5.11 + 3*t^5.33 + 3*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*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 | $M_1q_1q_2$ + $ \phi_1q_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_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_5q_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^2.22 + t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + 2*t^4.67 + 2*t^4.89 + 3*t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*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 | $M_1q_1q_2$ + $ \phi_1q_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_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_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^2.67 + t^2.83 + t^3. + t^3.33 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + 3*t^5.33 + 3*t^5.5 + 2*t^5.67 + t^5.83 - t^6. - t^4.33/y - t^4.33*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 | $M_1q_1q_2$ + $ \phi_1q_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_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_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^2.36 + t^2.67 + 2*t^2.97 + t^3.33 + t^3.7 + t^3.94 + 2*t^4. + t^4.06 + t^4.3 + t^4.36 + t^4.67 + t^4.73 + t^5.03 + 3*t^5.33 + t^5.64 + 2*t^5.94 - 2*t^6. - t^4.33/y - t^4.33*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} |