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 |
|---|---|---|---|---|---|---|---|---|---|
| 1817 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6791 | 0.8778 | 0.7737 | [X:[], M:[0.8237, 1.1763, 0.8237, 0.6763, 0.8213], q:[0.75, 0.4263], qb:[0.4287, 0.395], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.03 + 2*t^2.46 + 2*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.96 + 3*t^4.06 + t^4.07 + 2*t^4.49 + 2*t^4.5 + t^4.59 + 3*t^4.93 + 7*t^4.94 + 3*t^5.03 + 2*t^5.04 + t^5.13 + 3*t^5.46 + 2*t^5.47 + t^5.56 + 2*t^5.9 + t^5.91 - 2*t^6. - t^6.01 + 2*t^6.09 + 2*t^6.33 + 2*t^6.34 + 2*t^6.43 + 2*t^6.44 + 4*t^6.52 + 5*t^6.53 + 4*t^6.54 + 2*t^6.62 + t^6.63 + t^6.64 + t^6.87 + 6*t^6.96 + t^6.97 + 4*t^7.06 + t^7.16 + t^7.31 + 4*t^7.39 + 5*t^7.4 + 8*t^7.41 + 5*t^7.49 + 3*t^7.5 + 2*t^7.51 + t^7.59 + t^7.69 + t^7.74 + t^7.83 + 6*t^7.93 + 7*t^7.94 + t^8.02 - t^8.03 + 4*t^8.12 + 2*t^8.13 + 2*t^8.14 + 3*t^8.36 + 2*t^8.37 + t^8.38 - 5*t^8.46 - 7*t^8.47 - 2*t^8.48 + 4*t^8.55 - 2*t^8.56 - t^8.57 + 2*t^8.65 + 3*t^8.8 + 7*t^8.81 + 3*t^8.89 + 4*t^8.9 + 2*t^8.91 + 13*t^8.99 - t^4.5/y - t^6.53/y - t^6.96/y - t^6.97/y + (2*t^7.49)/y + (2*t^7.5)/y + t^7.59/y + t^7.93/y + (5*t^7.94)/y + (4*t^8.03)/y + (3*t^8.04)/y + (3*t^8.46)/y + (3*t^8.47)/y + (3*t^8.9)/y + (2*t^8.91)/y - t^4.5*y - t^6.53*y - t^6.96*y - t^6.97*y + 2*t^7.49*y + 2*t^7.5*y + t^7.59*y + t^7.93*y + 5*t^7.94*y + 4*t^8.03*y + 3*t^8.04*y + 3*t^8.46*y + 3*t^8.47*y + 3*t^8.9*y + 2*t^8.91*y | t^2.03/(g1*g2) + (2*t^2.46)/g1 + 2*g1*g2*t^2.47 + t^2.56/g2 + t^3. + g2*t^3.44 + g2^2*t^3.87 + t^3.96/g1 + (2*t^4.06)/(g1^2*g2^2) + t^4.06/g2 + g1^2*t^4.07 + (2*t^4.49)/(g1^2*g2) + 2*t^4.5 + t^4.59/(g1*g2^2) + (3*t^4.93)/g1^2 + 4*g2*t^4.94 + 3*g1^2*g2^2*t^4.94 + (3*t^5.03)/(g1*g2) + 2*g1*t^5.04 + t^5.13/g2^2 + (3*t^5.46)/g1 + 2*g1*g2*t^5.47 + t^5.56/g2 + (2*g2*t^5.9)/g1 + g1*g2^2*t^5.91 - 2*t^6. - g1^2*g2*t^6.01 + (2*t^6.09)/(g1^3*g2^3) + (2*g2^2*t^6.33)/g1 + 2*g1*g2^3*t^6.34 + (2*t^6.43)/g1^2 + 2*g2*t^6.44 + (4*t^6.52)/(g1^3*g2^2) + (5*t^6.53)/(g1*g2) + 2*g1*t^6.54 + 2*g1^3*g2*t^6.54 + (2*t^6.62)/(g1^2*g2^3) + t^6.63/g2^2 + (g1^2*t^6.64)/g2 + g2^2*t^6.87 + (3*t^6.96)/g1 + (3*t^6.96)/(g1^3*g2) + g1*g2*t^6.97 + (3*t^7.06)/(g1^2*g2^2) + t^7.06/g2 + t^7.16/(g1*g2^3) + g2^3*t^7.31 + (4*t^7.39)/g1^3 + (5*g2*t^7.4)/g1 + 4*g1*g2^2*t^7.41 + 4*g1^3*g2^3*t^7.41 + (5*t^7.49)/(g1^2*g2) + 3*t^7.5 + 2*g1^2*g2*t^7.51 + t^7.59/(g1*g2^2) + t^7.69/g2^3 + g2^4*t^7.74 + (g2^2*t^7.83)/g1 + (6*t^7.93)/g1^2 + 4*g2*t^7.94 + 3*g1^2*g2^2*t^7.94 + t^8.02/(g1^3*g2^2) - t^8.03/(g1*g2) + (3*t^8.12)/(g1^4*g2^4) + t^8.12/(g1^2*g2^3) + (2*t^8.13)/g2^2 + g1^4*t^8.14 + (g1^2*t^8.14)/g2 + (3*g2*t^8.36)/g1^2 + 2*g2^2*t^8.37 + g1^2*g2^3*t^8.38 - (5*t^8.46)/g1 - 7*g1*g2*t^8.47 - 2*g1^3*g2^2*t^8.48 + (4*t^8.55)/(g1^4*g2^3) + (2*t^8.56)/(g1^2*g2^2) - (4*t^8.56)/g2 - g1^2*t^8.57 + (2*t^8.65)/(g1^3*g2^4) + (3*g2^2*t^8.8)/g1^2 + 4*g2^3*t^8.81 + 3*g1^2*g2^4*t^8.81 + (3*t^8.89)/g1^3 + (4*g2*t^8.9)/g1 + 2*g1*g2^2*t^8.91 + (6*t^8.99)/(g1^4*g2^2) + (7*t^8.99)/(g1^2*g2) - t^4.5/y - t^6.53/(g1*g2*y) - t^6.96/(g1*y) - (g1*g2*t^6.97)/y + (2*t^7.49)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.59/(g1*g2^2*y) + t^7.93/(g1^2*y) + (4*g2*t^7.94)/y + (g1^2*g2^2*t^7.94)/y + (4*t^8.03)/(g1*g2*y) + (3*g1*t^8.04)/y + (3*t^8.46)/(g1*y) + (3*g1*g2*t^8.47)/y - t^8.56/(g1^2*g2^2*y) + t^8.56/(g2*y) + (3*g2*t^8.9)/(g1*y) + (2*g1*g2^2*t^8.91)/y - t^4.5*y - (t^6.53*y)/(g1*g2) - (t^6.96*y)/g1 - g1*g2*t^6.97*y + (2*t^7.49*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.59*y)/(g1*g2^2) + (t^7.93*y)/g1^2 + 4*g2*t^7.94*y + g1^2*g2^2*t^7.94*y + (4*t^8.03*y)/(g1*g2) + 3*g1*t^8.04*y + (3*t^8.46*y)/g1 + 3*g1*g2*t^8.47*y - (t^8.56*y)/(g1^2*g2^2) + (t^8.56*y)/g2 + (3*g2*t^8.9*y)/g1 + 2*g1*g2^2*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2835 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6999 | 0.9187 | 0.7619 | [X:[], M:[0.823, 1.177, 0.823, 0.677, 0.823, 0.677], q:[0.75, 0.427], qb:[0.427, 0.396], phi:[0.5]] | 2*t^2.03 + 4*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.88 + 6*t^4.06 + 8*t^4.5 + 2*t^4.59 + 10*t^4.94 + 6*t^5.03 + t^5.12 + 6*t^5.47 + t^5.56 + 4*t^5.91 - 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail |