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 |
|---|---|---|---|---|---|---|---|---|---|
| 5325 | 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_2M_4$ + $ M_5q_1q_2$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6445 | 0.8365 | 0.7705 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 0.7143, 1.1429, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 165/256, c: 1499/1792, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 5/7, M6: 8/7, M7: 11/14, 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 |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_7$, $ M_5M_7$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_5$, $ M_7\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_3M_6$, $ M_5M_6$, $ M_1M_7$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_2M_7$, $ M_6M_7$, $ M_7q_1\tilde{q}_1$ | . | -3 | 3*t^2.14 + t^2.36 + t^3. + 2*t^3.21 + 3*t^3.43 + t^4.07 + 7*t^4.29 + 3*t^4.5 + 2*t^4.71 + 3*t^5.14 + 6*t^5.36 + 10*t^5.57 + 2*t^5.79 - 3*t^6. + 2*t^6.21 + 16*t^6.43 + 10*t^6.64 + 7*t^6.86 - t^7.07 + 4*t^7.29 + 13*t^7.5 + 20*t^7.71 + 5*t^7.93 - 6*t^8.14 - 2*t^8.36 + 26*t^8.57 + 22*t^8.79 - t^4.5/y - (2*t^6.64)/y - t^6.86/y + t^7.07/y + (4*t^7.29)/y + (3*t^7.5)/y - t^7.71/y - t^7.93/y + (4*t^8.14)/y + (9*t^8.36)/y + (11*t^8.57)/y - t^4.5*y - 2*t^6.64*y - t^6.86*y + t^7.07*y + 4*t^7.29*y + 3*t^7.5*y - t^7.71*y - t^7.93*y + 4*t^8.14*y + 9*t^8.36*y + 11*t^8.57*y | 3*t^2.14 + t^2.36 + t^3. + 2*t^3.21 + 3*t^3.43 + t^4.07 + 7*t^4.29 + 3*t^4.5 + 2*t^4.71 + 3*t^5.14 + 6*t^5.36 + 10*t^5.57 + 2*t^5.79 - 3*t^6. + 2*t^6.21 + 16*t^6.43 + 10*t^6.64 + 7*t^6.86 - t^7.07 + 4*t^7.29 + 13*t^7.5 + 20*t^7.71 + 5*t^7.93 - 6*t^8.14 - 2*t^8.36 + 26*t^8.57 + 22*t^8.79 - t^4.5/y - (2*t^6.64)/y - t^6.86/y + t^7.07/y + (4*t^7.29)/y + (3*t^7.5)/y - t^7.71/y - t^7.93/y + (4*t^8.14)/y + (9*t^8.36)/y + (11*t^8.57)/y - t^4.5*y - 2*t^6.64*y - t^6.86*y + t^7.07*y + 4*t^7.29*y + 3*t^7.5*y - t^7.71*y - t^7.93*y + 4*t^8.14*y + 9*t^8.36*y + 11*t^8.57*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3713 | 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_2M_4$ + $ M_5q_1q_2$ + $ M_4M_6$ | 0.6272 | 0.8058 | 0.7784 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 0.7143, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^3. + 2*t^3.21 + 3*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + t^4.71 + 3*t^5.14 + 5*t^5.36 + 8*t^5.57 + 2*t^5.79 - 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 27537/43904, c: 35377/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 5/7, M6: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |