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 |
|---|---|---|---|---|---|---|---|---|---|
| 1830 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.63 | 0.78 | 0.8077 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8], q:[0.4, 0.8], qb:[0.4, 0.8], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 63/100, c: 39/50, X1: 8/5, M1: 4/5, M2: 4/5, M3: 6/5, M4: 2/5, M5: 4/5, q1: 2/5, q2: 4/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_5$, $ M_2M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$ | $M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | 11 | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. + 22*t^7.2 + 12*t^8.4 - t^4.2/y - (3*t^6.6)/y + (9*t^7.8)/y - t^4.2*y - 3*t^6.6*y + 9*t^7.8*y | 2*t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + 5*t^4.8 + t^4.8/(g1^2*g2^2) + (2*t^4.8)/(g1*g2) + 2*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 - t^6. + (2*t^6.)/g1^2 + 2*g1^2*t^6. + t^6./g2^2 + t^6./(g1^3*g2) + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + g1^3*g2*t^6. + g2^2*t^6. + 6*t^7.2 + t^7.2/g1^4 - t^7.2/g1^2 - g1^2*t^7.2 + g1^4*t^7.2 + t^7.2/(g1^3*g2^3) + (2*t^7.2)/(g1^2*g2^2) + (g1^2*t^7.2)/g2^2 + (4*t^7.2)/(g1*g2) - (g1*t^7.2)/g2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 - (g2*t^7.2)/g1 + 4*g1*g2*t^7.2 + (g2^2*t^7.2)/g1^2 + 2*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 - 4*t^8.4 + (3*t^8.4)/g1^2 + 3*g1^2*t^8.4 + t^8.4/(g1*g2^3) + (2*t^8.4)/g2^2 + t^8.4/(g1^4*g2^2) + (2*t^8.4)/(g1^3*g2) - (4*t^8.4)/(g1*g2) + (3*g1*t^8.4)/g2 + (3*g2*t^8.4)/g1 - 4*g1*g2*t^8.4 + 2*g1^3*g2*t^8.4 + 2*g2^2*t^8.4 + g1^4*g2^2*t^8.4 + g1*g2^3*t^8.4 - t^4.2/y - t^6.6/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + (3*t^7.8)/y + (3*t^7.8)/(g1*g2*y) + (3*g1*g2*t^7.8)/y - t^4.2*y - t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + 3*t^7.8*y + (3*t^7.8*y)/(g1*g2) + 3*g1*g2*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2854 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6477 | 0.8127 | 0.797 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.8, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.6 + t^3.68 + t^4.56 + t^4.64 + 2*t^4.68 + 2*t^4.72 + 2*t^4.76 + 5*t^4.8 + 2*t^4.84 + t^4.88 + t^5.76 + t^5.8 + t^5.84 + 3*t^5.88 + 2*t^5.92 + 2*t^5.96 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 373 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.4623, 0.613], qb:[0.4623, 0.613], phi:[0.4623]] | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - t^4.39/y - t^4.39*y | detail |