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 |
|---|---|---|---|---|---|---|---|---|---|
| 892 | 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_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[1.0, 0.9425, 1.0575, 0.885, 1.0287], q:[0.4569, 0.5431], qb:[0.4856, 0.5718], phi:[0.4856]] | [X:[], M:[[0], [-4], [4], [-8], [2]], q:[[-3], [3]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$ | . | -2 | t^2.66 + t^2.83 + t^3. + 3*t^3.09 + t^3.17 + t^4.2 + t^4.28 + t^4.37 + t^4.46 + 2*t^4.54 + t^4.63 + t^4.72 + t^4.8 + t^4.89 + t^5.31 + t^5.48 + t^5.66 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. + t^6.09 + 5*t^6.17 + t^6.26 + t^6.85 + t^6.94 + 2*t^7.03 + t^7.11 + 2*t^7.2 + 3*t^7.28 + 3*t^7.37 + 2*t^7.46 + 3*t^7.54 + 3*t^7.63 + 2*t^7.72 + 2*t^7.8 + 2*t^7.89 + 3*t^7.97 + t^8.06 + t^8.14 + t^8.31 + 2*t^8.4 + 2*t^8.48 + t^8.57 + 2*t^8.74 - t^8.83 + t^8.91 - t^4.46/y - t^7.11/y + t^7.8/y + t^8.48/y + t^8.66/y + (3*t^8.74)/y + (2*t^8.83)/y + (3*t^8.91)/y - t^4.46*y - t^7.11*y + t^7.8*y + t^8.48*y + t^8.66*y + 3*t^8.74*y + 2*t^8.83*y + 3*t^8.91*y | t^2.66/g1^8 + t^2.83/g1^4 + t^3. + 3*g1^2*t^3.09 + g1^4*t^3.17 + t^4.2/g1^7 + t^4.28/g1^5 + t^4.37/g1^3 + t^4.46/g1 + 2*g1*t^4.54 + g1^3*t^4.63 + g1^5*t^4.72 + g1^7*t^4.8 + g1^9*t^4.89 + t^5.31/g1^16 + t^5.48/g1^12 + t^5.66/g1^8 + t^5.74/g1^6 + t^5.83/g1^4 + t^5.91/g1^2 - 2*t^6. + g1^2*t^6.09 + 5*g1^4*t^6.17 + g1^6*t^6.26 + t^6.85/g1^15 + t^6.94/g1^13 + (2*t^7.03)/g1^11 + t^7.11/g1^9 + (2*t^7.2)/g1^7 + (3*t^7.28)/g1^5 + (3*t^7.37)/g1^3 + (2*t^7.46)/g1 + 3*g1*t^7.54 + 3*g1^3*t^7.63 + 2*g1^5*t^7.72 + 2*g1^7*t^7.8 + 2*g1^9*t^7.89 + t^7.97/g1^24 + 2*g1^11*t^7.97 + g1^13*t^8.06 + t^8.14/g1^20 + t^8.31/g1^16 + (2*t^8.4)/g1^14 + (2*t^8.48)/g1^12 + t^8.57/g1^10 + (2*t^8.74)/g1^6 - t^8.83/g1^4 + t^8.91/g1^2 - t^4.46/(g1*y) - t^7.11/(g1^9*y) + (g1^7*t^7.8)/y + t^8.48/(g1^12*y) + t^8.66/(g1^8*y) + (3*t^8.74)/(g1^6*y) + (2*t^8.83)/(g1^4*y) + (3*t^8.91)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.11*y)/g1^9 + g1^7*t^7.8*y + (t^8.48*y)/g1^12 + (t^8.66*y)/g1^8 + (3*t^8.74*y)/g1^6 + (2*t^8.83*y)/g1^4 + (3*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2054 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5499 | 0.6749 | 0.8148 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 1.1429], q:[0.2857, 0.7143], qb:[0.4286, 0.8571], phi:[0.4286]] | t^2.14 + 2*t^3. + 4*t^3.43 + 2*t^3.86 + t^4.29 + t^4.71 + 2*t^5.14 + 2*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 1509/2744, c: 463/686, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 8/7, q1: 2/7, q2: 5/7, qb1: 3/7, qb2: 6/7, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 576 | 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_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 - t^4.45/y - t^4.45*y | detail |