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 |
|---|---|---|---|---|---|---|---|---|---|
| 1722 | 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\tilde{q}_2$ + $ M_3q_1q_2$ | 0.6156 | 0.7719 | 0.7976 | [X:[], M:[1.125, 1.125, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | [X:[], M:[[1], [-1], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 5043/8192, c: 6323/8192, M1: 9/8, M2: 9/8, M3: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$ | 1 | 2*t^2.25 + t^3. + 4*t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 2*t^5.25 + 6*t^5.62 + t^6. + 2*t^6.38 + 13*t^6.75 + 6*t^7.12 + 8*t^7.5 + 10*t^7.88 + t^8.25 + 2*t^8.62 - t^4.5/y - t^6.75/y + (2*t^7.12)/y + t^7.5/y - (2*t^7.88)/y + (3*t^8.25)/y + (8*t^8.62)/y - t^4.5*y - t^6.75*y + 2*t^7.12*y + t^7.5*y - 2*t^7.88*y + 3*t^8.25*y + 8*t^8.62*y | 2*t^2.25 + t^3. + (2*t^3.38)/g1 + 2*g1*t^3.38 + t^3.75 + t^3.75/g1^2 + g1^2*t^3.75 + t^4.12/g1 + g1*t^4.12 + 4*t^4.5 + 2*t^5.25 + (3*t^5.62)/g1 + 3*g1*t^5.62 - t^6. + t^6./g1^2 + g1^2*t^6. + t^6.38/g1 + g1*t^6.38 + 7*t^6.75 + (3*t^6.75)/g1^2 + 3*g1^2*t^6.75 + (2*t^7.12)/g1^3 + t^7.12/g1 + g1*t^7.12 + 2*g1^3*t^7.12 + 4*t^7.5 + t^7.5/g1^4 + t^7.5/g1^2 + g1^2*t^7.5 + g1^4*t^7.5 + t^7.88/g1^3 + (4*t^7.88)/g1 + 4*g1*t^7.88 + g1^3*t^7.88 - 3*t^8.25 + (2*t^8.25)/g1^2 + 2*g1^2*t^8.25 + t^8.62/g1 + g1*t^8.62 - t^4.5/y - t^6.75/y + t^7.12/(g1*y) + (g1*t^7.12)/y + t^7.5/y - t^7.88/(g1*y) - (g1*t^7.88)/y + (3*t^8.25)/y + (4*t^8.62)/(g1*y) + (4*g1*t^8.62)/y - t^4.5*y - t^6.75*y + (t^7.12*y)/g1 + g1*t^7.12*y + t^7.5*y - (t^7.88*y)/g1 - g1*t^7.88*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 2726 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1q_2$ + $ M_3M_4$ | 0.5966 | 0.7372 | 0.8092 | [X:[], M:[1.125, 1.125, 0.75, 1.25], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | t^2.25 + t^3. + 4*t^3.38 + 4*t^3.75 + 2*t^4.12 + 2*t^4.5 + t^5.25 + 2*t^5.62 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 4887/8192, c: 6039/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 5/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
| 2725 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1q_2$ + $ M_4q_1q_2$ | 0.6346 | 0.8065 | 0.7869 | [X:[], M:[1.125, 1.125, 0.75, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | 3*t^2.25 + t^3. + 4*t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 3*t^5.25 + 10*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5199/8192, c: 6607/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 157 | 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\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail |