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 |
|---|---|---|---|---|---|---|---|---|---|
| 2088 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.6075 | 0.7575 | 0.802 | [X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0, 0.8], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]] | [X:[[0]], M:[[0], [0], [2], [-2], [0], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 243/400, c: 303/400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, M6: 4/5, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_3M_6$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_3\phi_1q_2^2$ | $M_6\phi_1q_1q_2$, $ \phi_1^3q_1q_2$ | 0 | t^2.2 + 2*t^2.4 + t^2.6 + t^3. + t^3.2 + t^3.6 + t^4. + t^4.2 + t^4.4 + 2*t^4.6 + 5*t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + t^5.8 + 2*t^6.2 + 3*t^6.4 + 2*t^6.6 + 2*t^6.8 + 4*t^7. + 6*t^7.2 + 5*t^7.4 + 3*t^7.6 + 3*t^7.8 + 4*t^8. + t^8.4 + 4*t^8.8 - t^4.2/y - t^6.4/y - t^6.6/y - t^6.8/y + (3*t^7.6)/y + (3*t^7.8)/y + (3*t^8.)/y + t^8.2/y + (3*t^8.4)/y + (2*t^8.6)/y + t^8.8/y - t^4.2*y - t^6.4*y - t^6.6*y - t^6.8*y + 3*t^7.6*y + 3*t^7.8*y + 3*t^8.*y + t^8.2*y + 3*t^8.4*y + 2*t^8.6*y + t^8.8*y | t^2.2/g1^2 + 2*t^2.4 + g1^2*t^2.6 + t^3. + g1^2*t^3.2 + t^3.6 + t^4./g1^2 + t^4.2 + t^4.4/g1^4 + (2*t^4.6)/g1^2 + 5*t^4.8 + 2*g1^2*t^5. + t^5.2/g1^2 + g1^4*t^5.2 + 2*t^5.4 + 2*g1^2*t^5.6 + g1^4*t^5.8 + t^6.2/g1^4 + g1^2*t^6.2 + (2*t^6.4)/g1^2 + g1^4*t^6.4 + t^6.6 + t^6.6/g1^6 + (2*t^6.8)/g1^4 + (4*t^7.)/g1^2 + 6*t^7.2 + t^7.4/g1^4 + 4*g1^2*t^7.4 + t^7.6/g1^2 + 2*g1^4*t^7.6 + 2*t^7.8 + g1^6*t^7.8 + t^8./g1^4 + 3*g1^2*t^8. - (2*t^8.2)/g1^2 + 2*g1^4*t^8.2 - t^8.4 + t^8.4/g1^6 + g1^6*t^8.4 + (2*t^8.6)/g1^4 - 2*g1^2*t^8.6 + t^8.8/g1^8 + t^8.8/g1^2 + 2*g1^4*t^8.8 - t^4.2/y - t^6.4/(g1^2*y) - t^6.6/y - (g1^2*t^6.8)/y + (3*t^7.6)/(g1^2*y) + (3*t^7.8)/y + (3*g1^2*t^8.)/y + t^8.2/(g1^2*y) + (3*t^8.4)/y - t^8.6/(g1^4*y) + (3*g1^2*t^8.6)/y + (g1^4*t^8.8)/y - t^4.2*y - (t^6.4*y)/g1^2 - t^6.6*y - g1^2*t^6.8*y + (3*t^7.6*y)/g1^2 + 3*t^7.8*y + 3*g1^2*t^8.*y + (t^8.2*y)/g1^2 + 3*t^8.4*y - (t^8.6*y)/g1^4 + 3*g1^2*t^8.6*y + g1^4*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 3149 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_7\phi_1q_2^2$ | 0.6155 | 0.7723 | 0.797 | [X:[1.6], M:[1.2, 0.4, 0.9081, 0.6919, 1.0, 0.8, 0.8919], q:[0.446, 0.354], qb:[0.646, 0.954], phi:[0.4]] | t^2.08 + 2*t^2.4 + t^2.68 + t^2.72 + t^3. + t^3.6 + t^3.88 + t^4.15 + t^4.2 + 2*t^4.48 + t^4.75 + 5*t^4.8 + 3*t^5.08 + 2*t^5.12 + t^5.35 + 2*t^5.4 + t^5.45 + t^5.68 + t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 934 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |