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 |
|---|---|---|---|---|---|---|---|---|---|
| 45837 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]] | [X:[[0, 0, 2]], M:[[0, 0, -3]], q:[[-1, 0, 1], [1, 0, 0]], qb:[[0, -1, 3], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$ | $M_1^2$ | -8 | t^3. + 8*t^4. + t^5. - 8*t^6. + 29*t^8. - t^4./y - t^4.*y | t^3./g3^3 + g1*g2*t^4. + (g2^2*t^4.)/g3 + (g2*g3*t^4.)/g1 + 2*g3^2*t^4. + (g1*g3^3*t^4.)/g2 + (g3^4*t^4.)/(g1*g2) + (g3^5*t^4.)/g2^2 + g3*t^5. - 3*t^6. + t^6./g3^6 - (g2^2*t^6.)/g3^3 - (g1*g2*t^6.)/g3^2 - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 - (g3^2*t^6.)/(g1*g2) - (g3^3*t^6.)/g2^2 + g1^2*g2^2*t^8. + (g2^3*t^8.)/g1 + (2*t^8.)/g3^2 + (g2^4*t^8.)/g3^2 + (g1*g2^3*t^8.)/g3 + 2*g2^2*g3*t^8. + 2*g1*g2*g3^2*t^8. + (g2^2*g3^2*t^8.)/g1^2 + g1^2*g3^3*t^8. + (2*g2*g3^3*t^8.)/g1 + 3*g3^4*t^8. + (g3^5*t^8.)/g1^2 + (2*g1*g3^5*t^8.)/g2 + (g1^2*g3^6*t^8.)/g2^2 + (2*g3^6*t^8.)/(g1*g2) + (2*g3^7*t^8.)/g2^2 + (g1*g3^8*t^8.)/g2^3 + (g3^8*t^8.)/(g1^2*g2^2) + (g3^9*t^8.)/(g1*g2^3) + (g3^10*t^8.)/g2^4 - t^4./(g3*y) - t^7./(g3^4*y) + (g3^2*t^7.)/y - (t^4.*y)/g3 - (t^7.*y)/g3^4 + g3^2*t^7.*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 |
|---|---|---|---|---|---|---|---|---|
| 45859 | $\phi_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_2^2$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 0.8793], qb:[0.3966, 0.8793], phi:[0.2414]] | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55736 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.8333, 0.8333, 1.1667], qb:[0.8333, 0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, q3: 7/6, qb1: 5/6, qb2: 1/2, qb3: 1/2, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 39 | SU2adj1nf2 | $\phi_1q_1q_2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |