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 |
|---|---|---|---|---|---|---|---|---|---|
| 361 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ \phi_1^4$ + $ q_1q_2\tilde{q}_2^2$ | 0.6952 | 0.8564 | 0.8117 | [X:[], M:[1.0534, 0.9466, 0.9738, 0.9466], q:[0.4995, 0.4471], qb:[0.5267, 0.5267], phi:[0.5]] | [X:[], M:[[0, 2], [0, -2], [1, 1], [0, -2]], q:[[-1, -2], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_3$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$ | $M_3q_1\tilde{q}_2$ | -3 | 2*t^2.84 + 3*t^2.92 + t^3. + t^3.08 + t^4.18 + t^4.34 + 2*t^4.42 + t^4.5 + 2*t^4.58 + 3*t^4.66 + 3*t^5.68 + 4*t^5.76 + 7*t^5.84 + 3*t^5.92 - 3*t^6. - t^6.08 - 2*t^6.24 + 2*t^7.02 + 3*t^7.1 + 2*t^7.18 + 4*t^7.26 + 6*t^7.34 + 4*t^7.42 + 4*t^7.5 + 6*t^7.58 - t^7.74 + t^8.36 + 5*t^8.52 + 7*t^8.6 + 8*t^8.68 + 12*t^8.76 + t^8.84 - 11*t^8.92 + t^8.99 - t^4.5/y - t^7.34/y - t^7.42/y + t^7.58/y + t^7.66/y + t^8.68/y + (6*t^8.76)/y + (5*t^8.84)/y + (5*t^8.92)/y - t^4.5*y - t^7.34*y - t^7.42*y + t^7.58*y + t^7.66*y + t^8.68*y + 6*t^8.76*y + 5*t^8.84*y + 5*t^8.92*y | (2*t^2.84)/g2^2 + 3*g1*g2*t^2.92 + t^3. + t^3.08/(g1*g2) + g1^2*t^4.18 + t^4.34/g2^2 + 2*g1*g2*t^4.42 + t^4.5/(g1^2*g2^4) + (2*t^4.58)/(g1*g2) + 3*g2^2*t^4.66 + (3*t^5.68)/g2^4 + (4*g1*t^5.76)/g2 + (2*t^5.84)/g2^2 + 5*g1^2*g2^2*t^5.84 + 3*g1*g2*t^5.92 - 3*t^6. + t^6.08/(g1*g2) - 2*g1*g2^3*t^6.08 - (2*g2*t^6.24)/g1 + (2*g1^2*t^7.02)/g2^2 + 3*g1^3*g2*t^7.1 + (2*t^7.18)/g2^4 + (4*g1*t^7.26)/g2 + (2*t^7.34)/(g1^2*g2^6) + 4*g1^2*g2^2*t^7.34 + (4*t^7.42)/(g1*g2^3) + 4*t^7.5 + t^7.58/(g1^3*g2^5) + 5*g1*g2^3*t^7.58 - (g2*t^7.74)/g1 + g1^4*t^8.36 + (4*t^8.52)/g2^6 + (g1^2*t^8.52)/g2^2 + (5*g1*t^8.6)/g2^3 + 2*g1^3*g2*t^8.6 + 4*g1^2*t^8.68 + (4*t^8.68)/g2^4 - t^8.76/(g1*g2^5) + (6*g1*t^8.76)/g2 + 7*g1^3*g2^3*t^8.76 + t^8.84/(g1^2*g2^6) - (8*t^8.84)/g2^2 + 8*g1^2*g2^2*t^8.84 + (2*t^8.92)/(g1*g2^3) - 13*g1*g2*t^8.92 + t^8.99/(g1^4*g2^8) - t^4.5/y - t^7.34/(g2^2*y) - (g1*g2*t^7.42)/y + t^7.58/(g1*g2*y) + (g2^2*t^7.66)/y + t^8.68/(g2^4*y) + (6*g1*t^8.76)/(g2*y) + (2*t^8.84)/(g2^2*y) + (3*g1^2*g2^2*t^8.84)/y + (2*t^8.92)/(g1*g2^3*y) + (3*g1*g2*t^8.92)/y - t^4.5*y - (t^7.34*y)/g2^2 - g1*g2*t^7.42*y + (t^7.58*y)/(g1*g2) + g2^2*t^7.66*y + (t^8.68*y)/g2^4 + (6*g1*t^8.76*y)/g2 + (2*t^8.84*y)/g2^2 + 3*g1^2*g2^2*t^8.84*y + (2*t^8.92*y)/(g1*g2^3) + 3*g1*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1785 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ \phi_1^4$ + $ q_1q_2\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6988 | 0.8648 | 0.8081 | [X:[], M:[1.0516, 0.9484, 0.9484, 0.9484, 0.9484], q:[0.5258, 0.4226], qb:[0.5258, 0.5258], phi:[0.5]] | 6*t^2.85 + t^3. + t^4.04 + 3*t^4.35 + 6*t^4.65 + 18*t^5.69 + 6*t^5.85 - 10*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 226 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ \phi_1^4$ | 0.6965 | 0.8596 | 0.8103 | [X:[], M:[1.0542, 0.9458, 0.9458, 0.9458], q:[0.4985, 0.4472], qb:[0.5557, 0.4985], phi:[0.5]] | 4*t^2.84 + t^2.99 + t^3. + t^3.01 + t^4.18 + 2*t^4.34 + 3*t^4.49 + t^4.51 + 2*t^4.66 + t^4.83 + 9*t^5.67 + 2*t^5.83 + 4*t^5.84 + 2*t^5.85 + t^5.98 + t^5.99 - 5*t^6. - t^4.5/y - t^4.5*y | detail |