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 |
|---|---|---|---|---|---|---|---|---|---|
| 2866 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6306 | 0.7824 | 0.806 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3461/5488, c: 2147/2744, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_3M_5$, $ \phi_1^4$, $ M_4q_1q_2$ | $M_5q_1q_2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$ | 1 | t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 2*t^4.86 + 2*t^5.14 + t^5.43 + 4*t^5.71 + t^6. + 5*t^6.29 + 3*t^6.57 + 5*t^6.86 + 4*t^7.14 + 7*t^7.43 + 4*t^7.71 + 5*t^8. + 3*t^8.29 + 3*t^8.57 + 4*t^8.86 - t^4.43/y - t^7./y + t^7.29/y - t^7.57/y + (2*t^7.86)/y + t^8.14/y + (3*t^8.43)/y + (3*t^8.71)/y - t^4.43*y - t^7.*y + t^7.29*y - t^7.57*y + 2*t^7.86*y + t^8.14*y + 3*t^8.43*y + 3*t^8.71*y | t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 2*t^4.86 + 2*t^5.14 + t^5.43 + 4*t^5.71 + t^6. + 5*t^6.29 + 3*t^6.57 + 5*t^6.86 + 4*t^7.14 + 7*t^7.43 + 4*t^7.71 + 5*t^8. + 3*t^8.29 + 3*t^8.57 + 4*t^8.86 - t^4.43/y - t^7./y + t^7.29/y - t^7.57/y + (2*t^7.86)/y + t^8.14/y + (3*t^8.43)/y + (3*t^8.71)/y - t^4.43*y - t^7.*y + t^7.29*y - t^7.57*y + 2*t^7.86*y + t^8.14*y + 3*t^8.43*y + 3*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 3432 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.6351 | 0.7898 | 0.8041 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571, 0.9524], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | t^2.29 + t^2.57 + 2*t^2.86 + t^3.14 + t^3.43 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 2*t^4.86 + 3*t^5.14 + t^5.43 + 5*t^5.71 + t^6. - t^4.43/y - t^4.43*y | detail | {a: 1307/2058, c: 3251/4116, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, M6: 20/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 3434 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_6\phi_1^2$ | 0.6262 | 0.775 | 0.808 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571, 1.0476], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | t^2.29 + t^2.57 + 3*t^3.14 + t^3.43 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 2*t^4.86 + t^5.14 + t^5.43 + 4*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 5155/8232, c: 1595/2058, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, M6: 22/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 3433 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_6q_1q_2$ | 0.6432 | 0.8039 | 0.8001 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | t^2.29 + 2*t^2.57 + t^2.86 + 2*t^3.14 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 3*t^4.86 + 4*t^5.14 + 2*t^5.43 + 5*t^5.71 - t^4.43/y - t^4.43*y | detail | {a: 1765/2744, c: 1103/1372, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, M6: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1845 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | t^2.1 + t^2.6 + t^2.7 + t^2.75 + t^3.3 + t^3.35 + t^3.4 + t^3.95 + t^4. + t^4.05 + t^4.19 + t^4.51 + t^4.6 + 2*t^4.7 + t^4.79 + t^4.84 + t^5.21 + t^5.3 + 2*t^5.4 + t^5.45 + 2*t^5.49 + t^5.95 - t^6. - t^4.35/y - t^4.35*y | detail |