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 |
|---|---|---|---|---|---|---|---|---|---|
| 3274 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ + $ M_4q_1\tilde{q}_1$ | 0.5993 | 0.7511 | 0.7979 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 537/896, c: 673/896, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_2M_4$, $ M_5\tilde{q}_1\tilde{q}_2$ | 1 | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + 2*t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + 2*t^5.14 + t^5.36 + 2*t^5.57 + 2*t^5.79 + t^6. + t^6.21 + 5*t^6.43 + 3*t^6.64 + 5*t^6.86 + 3*t^7.07 + 6*t^7.29 + 3*t^7.5 + 5*t^7.71 + 2*t^7.93 + 3*t^8.14 + t^8.36 + 3*t^8.57 + t^8.79 - t^4.5/y + t^7.29/y + t^8.14/y + (2*t^8.36)/y + (3*t^8.57)/y + (3*t^8.79)/y - t^4.5*y + t^7.29*y + t^8.14*y + 2*t^8.36*y + 3*t^8.57*y + 3*t^8.79*y | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + 2*t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + 2*t^5.14 + t^5.36 + 2*t^5.57 + 2*t^5.79 + t^6. + t^6.21 + 5*t^6.43 + 3*t^6.64 + 5*t^6.86 + 3*t^7.07 + 6*t^7.29 + 3*t^7.5 + 5*t^7.71 + 2*t^7.93 + 3*t^8.14 + t^8.36 + 3*t^8.57 + t^8.79 - t^4.5/y + t^7.29/y + t^8.14/y + (2*t^8.36)/y + (3*t^8.57)/y + (3*t^8.79)/y - t^4.5*y + t^7.29*y + t^8.14*y + 2*t^8.36*y + 3*t^8.57*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 3703 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_6$ | 0.6059 | 0.7622 | 0.795 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 0.9286], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + 2*t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 3*t^5.57 + 2*t^5.79 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 53205/87808, c: 66925/87808, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 13/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3708 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_6$ | 0.5868 | 0.7296 | 0.8042 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.14 + t^3. + 2*t^3.21 + 3*t^3.43 + t^3.64 + 2*t^3.86 + t^4.07 + 2*t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 25761/43904, c: 32033/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3705 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6167 | 0.7818 | 0.7887 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.86 + t^4.07 + 2*t^4.29 + t^4.5 + 3*t^4.71 + t^4.93 + 2*t^5.14 + 2*t^5.36 + 4*t^5.57 + 3*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 54147/87808, c: 68651/87808, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 11/14, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2758 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6193 | 0.7789 | 0.7952 | [X:[], M:[1.1644, 1.1119, 0.7763, 0.6712, 1.2237], q:[0.75, 0.4737], qb:[0.3619, 0.4144], phi:[0.5]] | t^2.01 + t^2.33 + t^3. + 2*t^3.34 + 2*t^3.49 + 2*t^3.67 + t^3.83 + t^4.01 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.66 + t^5.01 + t^5.33 + 2*t^5.35 + 2*t^5.51 + t^5.66 + 2*t^5.68 + t^5.82 - t^6. - t^4.5/y - t^4.5*y | detail |