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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[1], [0], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ 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_4$, $ M_3M_4$, $ M_4q_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_4^2$, $ 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$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ q_1q_2^2\tilde{q}_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$ | $M_4q_1q_2$, $ M_3\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2^3\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$ | 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. + 6*t^6.38 + 16*t^6.75 + 12*t^7.12 + 13*t^7.5 + 14*t^7.88 + 9*t^8.25 + 8*t^8.62 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (6*t^7.88)/y + (6*t^8.25)/y + (8*t^8.62)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + 6*t^7.88*y + 6*t^8.25*y + 8*t^8.62*y | 3*t^2.25 + t^2.62/g1 + g1*t^2.62 + t^3. + t^3.38/g1 + g1*t^3.38 + t^3.75/g1^2 + g1^2*t^3.75 + t^4.12/g1 + g1*t^4.12 + 7*t^4.5 + (3*t^4.88)/g1 + 3*g1*t^4.88 + 4*t^5.25 + t^5.25/g1^2 + g1^2*t^5.25 + (3*t^5.62)/g1 + 3*g1*t^5.62 - t^6. + (3*t^6.)/g1^2 + 3*g1^2*t^6. + t^6.38/g1^3 + (2*t^6.38)/g1 + 2*g1*t^6.38 + g1^3*t^6.38 + 12*t^6.75 + (2*t^6.75)/g1^2 + 2*g1^2*t^6.75 + t^7.12/g1^3 + (5*t^7.12)/g1 + 5*g1*t^7.12 + g1^3*t^7.12 + 7*t^7.5 + t^7.5/g1^4 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + g1^4*t^7.5 + (2*t^7.88)/g1^3 + (5*t^7.88)/g1 + 5*g1*t^7.88 + 2*g1^3*t^7.88 - 5*t^8.25 + (7*t^8.25)/g1^2 + 7*g1^2*t^8.25 + (3*t^8.62)/g1^3 + t^8.62/g1 + g1*t^8.62 + 3*g1^3*t^8.62 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (3*t^7.88)/(g1*y) + (3*g1*t^7.88)/y + (6*t^8.25)/y + (4*t^8.62)/(g1*y) + (4*g1*t^8.62)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + (3*t^7.88*y)/g1 + 3*g1*t^7.88*y + 6*t^8.25*y + (4*t^8.62*y)/g1 + 4*g1*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 3636 | $\phi_1q_1^2$ + $ 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]] | 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. - t^4.5/y - t^4.5*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2709 | 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$ | 0.6466 | 0.8276 | 0.7814 | [X:[], M:[1.105, 0.75, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | 3*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.87 + t^4.06 + t^4.19 + 7*t^4.5 + 3*t^4.81 + t^5.13 + 3*t^5.25 + 6*t^5.56 + 2*t^5.69 + 4*t^5.88 - 2*t^6. - t^4.5/y - t^4.5*y | detail |