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 |
|---|---|---|---|---|---|---|---|---|---|
| 1704 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[0.4, 1.2], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 2/5, M2: 6/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$ | $\phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | -1 | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. + 21*t^7.2 - t^4.2/y - t^4.2*y | t^2.4 + 2*t^3.6 + t^3.6/g2^2 + t^3.6/(g1*g2) + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + g1*g2*t^3.6 + g2^2*t^3.6 + 2*t^4.8 - t^6. + 3*t^7.2 + t^7.2/g1^2 + g1^2*t^7.2 + t^7.2/g2^4 + t^7.2/(g1*g2^3) + (g1*t^7.2)/g2^3 + t^7.2/g2^2 + t^7.2/(g1^2*g2^2) + (g1^2*t^7.2)/g2^2 + t^7.2/(g1*g2) + (g1*t^7.2)/g2 + (g2*t^7.2)/g1 + g1*g2*t^7.2 + g2^2*t^7.2 + (g2^2*t^7.2)/g1^2 + g1^2*g2^2*t^7.2 + (g2^3*t^7.2)/g1 + g1*g2^3*t^7.2 + g2^4*t^7.2 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|
| 2704 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ | 0.5983 | 0.726 | 0.8241 | [X:[1.6], M:[0.4, 1.2, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | t^2.27 + t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.6 + 2*t^3.66 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 2*t^5.94 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 82 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.7036 | 0.8583 | 0.8198 | [X:[], M:[0.8504, 1.0499], q:[0.5748, 0.5748], qb:[0.4751, 0.4751], phi:[0.4751]] | t^2.55 + t^2.85 + 5*t^3.15 + 3*t^4.28 + 4*t^4.57 + 3*t^4.87 + t^5.1 + t^5.4 + 2*t^5.7 - 3*t^6. - t^4.43/y - t^4.43*y | detail |