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 |
|---|---|---|---|---|---|---|---|---|---|
| 46566 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_1$ | 0.6465 | 0.809 | 0.7991 | [X:[], M:[0.8, 0.8, 0.8, 0.8, 1.2], q:[0.4, 0.8], qb:[0.8, 0.4], phi:[0.4]] | [X:[], M:[[1, 1], [-1, 1], [-1, -1], [1, -1], [0, 0]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 1293/2000, c: 809/1000, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, q1: 2/5, q2: 4/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_3^2$, $ M_4^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2^2$, $ M_1^2$ | $M_1M_5$, $ M_2M_5$, $ M_3M_5$, $ M_4M_5$, $ M_3\phi_1q_1^2$, $ M_4\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_4\phi_1q_1\tilde{q}_2$, $ \phi_1^3q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 11 | 5*t^2.4 + 4*t^3.6 + 16*t^4.8 + 11*t^6. + 33*t^7.2 + 12*t^8.4 - t^4.2/y - (4*t^6.6)/y + (14*t^7.8)/y - t^4.2*y - 4*t^6.6*y + 14*t^7.8*y | t^2.4 + t^2.4/(g1*g2) + (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + g1*g2*t^2.4 + 2*t^3.6 + t^3.6/g2^2 + g2^2*t^3.6 + 4*t^4.8 + t^4.8/g1^2 + g1^2*t^4.8 + t^4.8/g2^2 + t^4.8/(g1^2*g2^2) + (g1^2*t^4.8)/g2^2 + t^4.8/(g1*g2) + (g1*t^4.8)/g2 + (g2*t^4.8)/g1 + g1*g2*t^4.8 + g2^2*t^4.8 + (g2^2*t^4.8)/g1^2 + g1^2*g2^2*t^4.8 - t^6. + t^6./(g1*g2^3) + (g1*t^6.)/g2^3 + (2*t^6.)/(g1*g2) + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + 2*g1*g2*t^6. + (g2^3*t^6.)/g1 + g1*g2^3*t^6. + 3*t^7.2 + t^7.2/g1^2 + g1^2*t^7.2 + t^7.2/g2^4 + t^7.2/(g1^3*g2^3) + t^7.2/(g1*g2^3) + (g1*t^7.2)/g2^3 + (g1^3*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/(g1^3*g2) + (2*t^7.2)/(g1*g2) + (2*g1*t^7.2)/g2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 + (2*g2*t^7.2)/g1 + 2*g1*g2*t^7.2 + g1^3*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)/g1^3 + (g2^3*t^7.2)/g1 + g1*g2^3*t^7.2 + g1^3*g2^3*t^7.2 + g2^4*t^7.2 + 2*t^8.4 + (2*t^8.4)/g1^2 + 2*g1^2*t^8.4 + t^8.4/g2^4 + t^8.4/(g1^2*g2^4) + (g1^2*t^8.4)/g2^4 + (2*t^8.4)/g2^2 + (2*t^8.4)/(g1^2*g2^2) + (2*g1^2*t^8.4)/g2^2 - (3*t^8.4)/(g1*g2) - (3*g1*t^8.4)/g2 - (3*g2*t^8.4)/g1 - 3*g1*g2*t^8.4 + 2*g2^2*t^8.4 + (2*g2^2*t^8.4)/g1^2 + 2*g1^2*g2^2*t^8.4 + g2^4*t^8.4 + (g2^4*t^8.4)/g1^2 + g1^2*g2^4*t^8.4 - t^4.2/y - t^6.6/(g1*g2*y) - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - (g1*g2*t^6.6)/y + (2*t^7.8)/y + t^7.8/(g1^2*y) + (g1^2*t^7.8)/y + t^7.8/(g2^2*y) + (2*t^7.8)/(g1*g2*y) + (2*g1*t^7.8)/(g2*y) + (2*g2*t^7.8)/(g1*y) + (2*g1*g2*t^7.8)/y + (g2^2*t^7.8)/y - t^4.2*y - (t^6.6*y)/(g1*g2) - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - g1*g2*t^6.6*y + 2*t^7.8*y + (t^7.8*y)/g1^2 + g1^2*t^7.8*y + (t^7.8*y)/g2^2 + (2*t^7.8*y)/(g1*g2) + (2*g1*t^7.8*y)/g2 + (2*g2*t^7.8*y)/g1 + 2*g1*g2*t^7.8*y + g2^2*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 |
|---|---|---|---|---|---|---|---|---|
| 47160 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_1^2$ + $ M_3X_1$ | 0.591 | 0.7285 | 0.8113 | [X:[1.4], M:[1.0, 0.7333, 0.6, 0.8667, 1.2], q:[0.3333, 0.6667], qb:[0.9333, 0.4667], phi:[0.4]] | t^2.2 + t^2.4 + t^2.6 + t^3. + t^3.2 + 2*t^3.6 + t^4. + t^4.2 + t^4.4 + t^4.6 + 3*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + t^5.6 + 2*t^5.8 - t^4.2/y - t^4.2*y | detail | {a: 591/1000, c: 1457/2000, X1: 7/5, M1: 1, M2: 11/15, M3: 3/5, M4: 13/15, M5: 6/5, q1: 1/3, q2: 2/3, qb1: 14/15, qb2: 7/15, phi1: 2/5} |
| 48249 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6641 | 0.8412 | 0.7894 | [X:[], M:[0.8175, 0.8175, 0.7825, 0.7825, 1.2, 0.7651], q:[0.3825, 0.8], qb:[0.8, 0.4175], phi:[0.4]] | t^2.3 + 2*t^2.35 + t^2.4 + 2*t^2.45 + t^3.5 + 2*t^3.6 + t^4.59 + 2*t^4.64 + 4*t^4.7 + 4*t^4.75 + 6*t^4.8 + 2*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 4*t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46325 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.4663, 0.6011], qb:[0.6011, 0.4663], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*y | detail |