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 |
|---|---|---|---|---|---|---|---|---|---|
| 3636 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.6689 | 0.8653 | 0.773 | [X:[], M:[1.1069, 0.75, 0.75, 0.8931, 0.8569], q:[0.75, 0.3931], qb:[0.5, 0.3569], phi:[0.5]] | [X:[], M:[[1], [0], [0], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_5$, $ M_3M_5$, $ M_5q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_5\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$ | $M_4q_1\tilde{q}_2$ | -2 | 3*t^2.25 + 2*t^2.57 + t^2.68 + t^3. + t^3.32 + t^3.64 + t^3.86 + t^4.07 + t^4.18 + 7*t^4.5 + 6*t^4.82 + 3*t^4.93 + 3*t^5.14 + 5*t^5.25 + t^5.36 + 4*t^5.57 + 4*t^5.89 - 2*t^6. + 2*t^6.11 + 2*t^6.21 + 2*t^6.32 + 2*t^6.43 + t^6.54 + 3*t^6.64 + 12*t^6.75 + t^6.86 + t^6.96 + 11*t^7.07 + 5*t^7.18 + t^7.28 + 8*t^7.39 + 9*t^7.5 + t^7.61 + 5*t^7.71 + t^7.72 + 10*t^7.82 - t^7.93 + 2*t^8.04 + 11*t^8.14 - 8*t^8.25 + 4*t^8.36 + 7*t^8.46 - 2*t^8.57 - t^8.68 + 3*t^8.78 + 2*t^8.79 + 5*t^8.89 - t^4.5/y - (2*t^6.75)/y - t^7.07/y + (3*t^7.5)/y + (6*t^7.82)/y + (4*t^7.93)/y + t^8.14/y + (7*t^8.25)/y + (5*t^8.57)/y + t^8.68/y + (5*t^8.89)/y - t^4.5*y - 2*t^6.75*y - t^7.07*y + 3*t^7.5*y + 6*t^7.82*y + 4*t^7.93*y + t^8.14*y + 7*t^8.25*y + 5*t^8.57*y + t^8.68*y + 5*t^8.89*y | 3*t^2.25 + 2*g1*t^2.57 + t^2.68/g1 + t^3. + g1*t^3.32 + g1^2*t^3.64 + t^3.86/g1^2 + g1*t^4.07 + t^4.18/g1 + 7*t^4.5 + 6*g1*t^4.82 + (3*t^4.93)/g1 + 3*g1^2*t^5.14 + 5*t^5.25 + t^5.36/g1^2 + 4*g1*t^5.57 + 4*g1^2*t^5.89 - 2*t^6. + (2*t^6.11)/g1^2 + 2*g1^3*t^6.21 + 2*g1*t^6.32 + (2*t^6.43)/g1 + t^6.54/g1^3 + 3*g1^2*t^6.64 + 12*t^6.75 + t^6.86/g1^2 + g1^3*t^6.96 + 11*g1*t^7.07 + (5*t^7.18)/g1 + g1^4*t^7.28 + 8*g1^2*t^7.39 + 9*t^7.5 + t^7.61/g1^2 + 5*g1^3*t^7.71 + t^7.72/g1^4 + 10*g1*t^7.82 - t^7.93/g1 + (2*t^8.04)/g1^3 + 11*g1^2*t^8.14 - 8*t^8.25 + (4*t^8.36)/g1^2 + 7*g1^3*t^8.46 - 2*g1*t^8.57 - t^8.68/g1 + 3*g1^4*t^8.78 + (2*t^8.79)/g1^3 + 5*g1^2*t^8.89 - t^4.5/y - (2*t^6.75)/y - (g1*t^7.07)/y + (3*t^7.5)/y + (6*g1*t^7.82)/y + (4*t^7.93)/(g1*y) + (g1^2*t^8.14)/y + (7*t^8.25)/y + (5*g1*t^8.57)/y + t^8.68/(g1*y) + (5*g1^2*t^8.89)/y - t^4.5*y - 2*t^6.75*y - g1*t^7.07*y + 3*t^7.5*y + 6*g1*t^7.82*y + (4*t^7.93*y)/g1 + g1^2*t^8.14*y + 7*t^8.25*y + 5*g1*t^8.57*y + (t^8.68*y)/g1 + 5*g1^2*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 3912 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_2$ | 0.6793 | 0.8824 | 0.7698 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 3*t^2.25 + 4*t^2.62 + t^3. + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 12*t^4.88 + 13*t^5.25 + 2*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5565/8192, c: 7229/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3217 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ | 0.657 | 0.8445 | 0.778 | [X:[], M:[1.125, 0.75, 0.75, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 3*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 6*t^4.88 + 6*t^5.25 + 6*t^5.62 + 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2691/4096, c: 3459/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |