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 |
|---|---|---|---|---|---|---|---|---|---|
| 48139 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ | 0.6464 | 0.8383 | 0.771 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | {a: 56757/87808, c: 73613/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_1M_4$ | 3*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 3*t^4.93 + 4*t^5.14 + 3*t^5.36 + 7*t^5.57 + 4*t^5.79 + 4*t^6.21 + 13*t^6.43 + t^6.64 + 10*t^6.86 + 6*t^7.07 + 8*t^7.29 + 6*t^7.5 + 15*t^7.71 + 7*t^7.93 + 9*t^8.36 + 19*t^8.57 + t^8.79 - t^4.5/y - (2*t^6.64)/y + (3*t^7.29)/y + (3*t^7.71)/y + (3*t^7.93)/y + (3*t^8.14)/y + (6*t^8.36)/y + (7*t^8.57)/y + (2*t^8.79)/y - t^4.5*y - 2*t^6.64*y + 3*t^7.29*y + 3*t^7.71*y + 3*t^7.93*y + 3*t^8.14*y + 6*t^8.36*y + 7*t^8.57*y + 2*t^8.79*y | 3*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 3*t^4.93 + 4*t^5.14 + 3*t^5.36 + 7*t^5.57 + 4*t^5.79 + 4*t^6.21 + 13*t^6.43 + t^6.64 + 10*t^6.86 + 6*t^7.07 + 8*t^7.29 + 6*t^7.5 + 15*t^7.71 + 7*t^7.93 + 9*t^8.36 + 19*t^8.57 + t^8.79 - t^4.5/y - (2*t^6.64)/y + (3*t^7.29)/y + (3*t^7.71)/y + (3*t^7.93)/y + (3*t^8.14)/y + (6*t^8.36)/y + (7*t^8.57)/y + (2*t^8.79)/y - t^4.5*y - 2*t^6.64*y + 3*t^7.29*y + 3*t^7.71*y + 3*t^7.93*y + 3*t^8.14*y + 6*t^8.36*y + 7*t^8.57*y + 2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 55524 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6589 | 0.8598 | 0.7664 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 7*t^4.71 + 3*t^4.93 + 6*t^5.14 + 4*t^5.36 + 5*t^5.57 + 5*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 57861/87808, c: 75501/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 55461 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6262 | 0.8003 | 0.7824 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 1.2857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 5*t^5.57 + 3*t^5.79 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 54981/87808, c: 70269/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 9/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 54108 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_5$ | 0.6338 | 0.8168 | 0.7759 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.79 + t^3. + t^3.21 + 3*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + t^4.71 + 3*t^4.93 + 3*t^5.14 + 2*t^5.36 + 9*t^5.57 + 3*t^5.79 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 55653/87808, c: 71725/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 55607 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6637 | 0.8691 | 0.7637 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^4.07 + 7*t^4.29 + 3*t^4.5 + 5*t^4.71 + 4*t^4.93 + 5*t^5.14 + 4*t^5.36 + 8*t^5.57 + 3*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 29139/43904, c: 38155/43904, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 11/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 53107 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.653 | 0.8494 | 0.7687 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 0.9286], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.57 + 2*t^2.79 + t^3. + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 6*t^4.93 + 4*t^5.14 + t^5.36 + 9*t^5.57 + 4*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 7167/10976, c: 9323/10976, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 13/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46486 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6691 | 0.8669 | 0.7718 | [X:[], M:[1.1117, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4735], qb:[0.3617, 0.4148], phi:[0.5]] | t^2.01 + 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^4.01 + t^4.02 + t^4.16 + 4*t^4.34 + t^4.52 + 6*t^4.66 + 3*t^4.84 + 2*t^5.01 + 3*t^5.33 + 2*t^5.35 + 2*t^5.51 + 5*t^5.66 + 2*t^5.82 + 2*t^5.84 - 2*t^6. - t^4.5/y - t^4.5*y | detail |