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 |
|---|---|---|---|---|---|---|---|---|---|
| 46441 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[1.0, 0.8539, 0.8539, 1.1461, 0.8539, 0.8539], q:[0.5, 0.5], qb:[0.6461, 0.6461], phi:[0.427]] | [X:[], M:[[0, 0, 0], [1, -4, 0], [1, 0, -4], [0, 2, 2], [-1, 0, -4], [-1, -4, 0]], q:[[-1, 0, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ M_3$, $ M_1$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_6^2$, $ M_2^2$, $ M_3M_5$, $ M_5^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_5M_6$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_2M_4$, $ M_3M_4$, $ M_4M_5$, $ M_4M_6$ | -3 | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. + t^6.44 + 8*t^6.84 + t^6.88 + 12*t^7.28 + t^7.31 + 20*t^7.69 + 8*t^7.72 + t^7.75 - 3*t^8.12 - t^8.16 - 13*t^8.56 - t^4.28/y - (4*t^6.84)/y + (4*t^7.72)/y + (6*t^8.12)/y + (4*t^8.56)/y - t^4.28*y - 4*t^6.84*y + 4*t^7.72*y + 6*t^8.12*y + 4*t^8.56*y | t^2.56/(g1*g2^4) + (g1*t^2.56)/g2^4 + t^2.56/(g1*g3^4) + (g1*t^2.56)/g3^4 + t^3. + g2^2*g3^2*t^3.44 + g2^4*g3^4*t^3.88 + t^4.28/(g2*g3) + t^4.28/(g1^2*g2*g3) + (g1^2*t^4.28)/(g2*g3) + (g2^3*t^4.72)/(g1*g3) + (g1*g2^3*t^4.72)/g3 + (g3^3*t^4.72)/(g1*g2) + (g1*g3^3*t^4.72)/g2 + t^5.12/g2^8 + t^5.12/(g1^2*g2^8) + (g1^2*t^5.12)/g2^8 + t^5.12/g3^8 + t^5.12/(g1^2*g3^8) + (g1^2*t^5.12)/g3^8 + (2*t^5.12)/(g2^4*g3^4) + t^5.12/(g1^2*g2^4*g3^4) + (g1^2*t^5.12)/(g2^4*g3^4) + (g2^7*t^5.16)/g3 + g2^3*g3^3*t^5.16 + (g3^7*t^5.16)/g2 - 3*t^6. - t^6./g1^2 - g1^2*t^6. - (g2^4*t^6.)/g3^4 + (g2^2*t^6.)/(g1*g3^2) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (g1*g3^2*t^6.)/g2^2 - (g3^4*t^6.)/g2^4 + g2^2*g3^2*t^6.44 + t^6.84/(g1^3*g2*g3^5) + t^6.84/(g1*g2*g3^5) + (g1*t^6.84)/(g2*g3^5) + (g1^3*t^6.84)/(g2*g3^5) + t^6.84/(g1^3*g2^5*g3) + t^6.84/(g1*g2^5*g3) + (g1*t^6.84)/(g2^5*g3) + (g1^3*t^6.84)/(g2^5*g3) + g2^4*g3^4*t^6.88 + (g2^3*t^7.28)/g3^5 + (g2^3*t^7.28)/(g1^2*g3^5) + (g1^2*g2^3*t^7.28)/g3^5 + (2*t^7.28)/(g2*g3) + (2*t^7.28)/(g1^2*g2*g3) + (2*g1^2*t^7.28)/(g2*g3) + (g3^3*t^7.28)/g2^5 + (g3^3*t^7.28)/(g1^2*g2^5) + (g1^2*g3^3*t^7.28)/g2^5 + g2^6*g3^6*t^7.31 + t^7.69/(g1^3*g2^12) + t^7.69/(g1*g2^12) + (g1*t^7.69)/g2^12 + (g1^3*t^7.69)/g2^12 + t^7.69/(g1^3*g3^12) + t^7.69/(g1*g3^12) + (g1*t^7.69)/g3^12 + (g1^3*t^7.69)/g3^12 + t^7.69/(g1^3*g2^4*g3^8) + (2*t^7.69)/(g1*g2^4*g3^8) + (2*g1*t^7.69)/(g2^4*g3^8) + (g1^3*t^7.69)/(g2^4*g3^8) + t^7.69/(g1^3*g2^8*g3^4) + (2*t^7.69)/(g1*g2^8*g3^4) + (2*g1*t^7.69)/(g2^8*g3^4) + (g1^3*t^7.69)/(g2^8*g3^4) + (g2^7*t^7.72)/(g1*g3^5) + (g1*g2^7*t^7.72)/g3^5 + (g2^3*t^7.72)/(g1*g3) + (g1*g2^3*t^7.72)/g3 + (g3^3*t^7.72)/(g1*g2) + (g1*g3^3*t^7.72)/g2 + (g3^7*t^7.72)/(g1*g2^5) + (g1*g3^7*t^7.72)/g2^5 + g2^8*g3^8*t^7.75 - t^8.12/(g2^4*g3^4) - t^8.12/(g1^2*g2^4*g3^4) - (g1^2*t^8.12)/(g2^4*g3^4) - g2^3*g3^3*t^8.16 - t^8.56/(g1^3*g2^4) - (5*t^8.56)/(g1*g2^4) - (5*g1*t^8.56)/g2^4 - (g1^3*t^8.56)/g2^4 - (g2^4*t^8.56)/(g1*g3^8) - (g1*g2^4*t^8.56)/g3^8 + (g2^2*t^8.56)/g3^6 + (g2^2*t^8.56)/(g1^2*g3^6) + (g1^2*g2^2*t^8.56)/g3^6 - t^8.56/(g1^3*g3^4) - (5*t^8.56)/(g1*g3^4) - (5*g1*t^8.56)/g3^4 - (g1^3*t^8.56)/g3^4 + (3*t^8.56)/(g2^2*g3^2) + t^8.56/(g1^4*g2^2*g3^2) + (2*t^8.56)/(g1^2*g2^2*g3^2) + (2*g1^2*t^8.56)/(g2^2*g3^2) + (g1^4*t^8.56)/(g2^2*g3^2) + (g3^2*t^8.56)/g2^6 + (g3^2*t^8.56)/(g1^2*g2^6) + (g1^2*g3^2*t^8.56)/g2^6 - (g3^4*t^8.56)/(g1*g2^8) - (g1*g3^4*t^8.56)/g2^8 - t^4.28/(g2*g3*y) - t^6.84/(g1*g2*g3^5*y) - (g1*t^6.84)/(g2*g3^5*y) - t^6.84/(g1*g2^5*g3*y) - (g1*t^6.84)/(g2^5*g3*y) + (g2^3*t^7.72)/(g1*g3*y) + (g1*g2^3*t^7.72)/(g3*y) + (g3^3*t^7.72)/(g1*g2*y) + (g1*g3^3*t^7.72)/(g2*y) + t^8.12/(g2^8*y) + t^8.12/(g3^8*y) + (2*t^8.12)/(g2^4*g3^4*y) + t^8.12/(g1^2*g2^4*g3^4*y) + (g1^2*t^8.12)/(g2^4*g3^4*y) + t^8.56/(g1*g2^4*y) + (g1*t^8.56)/(g2^4*y) + t^8.56/(g1*g3^4*y) + (g1*t^8.56)/(g3^4*y) - (t^4.28*y)/(g2*g3) - (t^6.84*y)/(g1*g2*g3^5) - (g1*t^6.84*y)/(g2*g3^5) - (t^6.84*y)/(g1*g2^5*g3) - (g1*t^6.84*y)/(g2^5*g3) + (g2^3*t^7.72*y)/(g1*g3) + (g1*g2^3*t^7.72*y)/g3 + (g3^3*t^7.72*y)/(g1*g2) + (g1*g3^3*t^7.72*y)/g2 + (t^8.12*y)/g2^8 + (t^8.12*y)/g3^8 + (2*t^8.12*y)/(g2^4*g3^4) + (t^8.12*y)/(g1^2*g2^4*g3^4) + (g1^2*t^8.12*y)/(g2^4*g3^4) + (t^8.56*y)/(g1*g2^4) + (g1*t^8.56*y)/g2^4 + (t^8.56*y)/(g1*g3^4) + (g1*t^8.56*y)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47015 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 47202 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_6$ | 0.7138 | 0.8725 | 0.8181 | [X:[], M:[1.0, 1.0, 0.8436, 1.0782, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | 2*t^2.53 + 3*t^3. + t^3.23 + t^3.47 + 6*t^4.38 + 3*t^4.85 + 3*t^5.06 + t^5.32 + 3*t^5.53 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 47164 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2^2$ | 0.7198 | 0.8791 | 0.8188 | [X:[], M:[1.0, 1.0, 0.8933, 1.0979, 0.8041, 0.9108], q:[0.4554, 0.5446], qb:[0.5446, 0.6513], phi:[0.451]] | t^2.41 + t^2.68 + t^2.73 + 2*t^3. + t^3.29 + t^3.59 + t^4.09 + 2*t^4.35 + 3*t^4.62 + t^4.67 + t^4.82 + 2*t^4.94 + t^5.09 + t^5.14 + t^5.26 + t^5.36 + 2*t^5.41 + t^5.46 + t^5.71 + t^5.97 - 2*t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46114 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7473, 0.7777, 0.7777, 1.2223, 0.7777, 0.7777], q:[0.6263, 0.6263], qb:[0.596, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |