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 |
|---|---|---|---|---|---|---|---|---|---|
| 1324 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 1.0554, 0.8892, 1.0, 0.8892, 1.0, 1.1108], q:[0.5, 0.5], qb:[0.5, 0.6108], phi:[0.4723]] | [X:[], M:[[0, 0], [0, 2], [0, -4], [1, 0], [-1, -4], [-1, 0], [1, 4]], q:[[-1, 0], [1, 0]], qb:[[0, 0], [0, 4]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_4$, $ M_6$, $ M_6$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_3$ | $M_1M_4$, $ M_4^2$, $ M_1M_6$, $ M_6^2$, $ M_3M_7$ | -2 | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. + 3*t^6.17 + 3*t^6.33 + 2*t^6.5 + 3*t^6.66 + 3*t^7.08 + 9*t^7.42 + 10*t^7.75 + t^8. + 6*t^8.08 + t^8.34 + 2*t^8.41 + t^8.5 - 7*t^8.67 + 15*t^8.83 - t^4.42/y - t^7.08/y + t^7.75/y + (3*t^8.67)/y + t^8.83/y - t^4.42*y - t^7.08*y + t^7.75*y + 3*t^8.67*y + t^8.83*y | t^2.67/g2^4 + t^3. + t^3./g1 + g1*t^3. + g2^2*t^3.17 + (g2^4*t^3.33)/g1 + g1*g2^4*t^3.33 + (2*t^4.42)/g2 + t^4.42/(g1^2*g2) + t^4.42/(g1*g2) + (g1*t^4.42)/g2 + (g1^2*t^4.42)/g2 + g2^3*t^4.75 + (g2^3*t^4.75)/g1 + g1*g2^3*t^4.75 + g2^7*t^5.08 + t^5.34/g2^8 + t^5.83/g2^2 - 2*t^6. + g2^2*t^6.17 + (g2^2*t^6.17)/g1 + g1*g2^2*t^6.17 + g2^4*t^6.33 + (g2^4*t^6.33)/g1^2 + g1^2*g2^4*t^6.33 + (g2^6*t^6.5)/g1 + g1*g2^6*t^6.5 + g2^8*t^6.66 + (g2^8*t^6.66)/g1^2 + g1^2*g2^8*t^6.66 + t^7.08/g2^5 + t^7.08/(g1^2*g2^5) + (g1^2*t^7.08)/g2^5 + t^7.42/g2 + t^7.42/(g1^3*g2) + t^7.42/(g1^2*g2) + (2*t^7.42)/(g1*g2) + (2*g1*t^7.42)/g2 + (g1^2*t^7.42)/g2 + (g1^3*t^7.42)/g2 + 2*g2^3*t^7.75 + (g2^3*t^7.75)/g1^3 + (g2^3*t^7.75)/g1^2 + (2*g2^3*t^7.75)/g1 + 2*g1*g2^3*t^7.75 + g1^2*g2^3*t^7.75 + g1^3*g2^3*t^7.75 + t^8./g2^12 + 2*g2^7*t^8.08 + (g2^7*t^8.08)/g1^2 + (g2^7*t^8.08)/g1 + g1*g2^7*t^8.08 + g1^2*g2^7*t^8.08 + t^8.34/g2^8 + (g2^11*t^8.41)/g1 + g1*g2^11*t^8.41 + t^8.5/g2^6 - (3*t^8.67)/g2^4 - t^8.67/(g1^2*g2^4) - t^8.67/(g1*g2^4) - (g1*t^8.67)/g2^4 - (g1^2*t^8.67)/g2^4 + (3*t^8.83)/g2^2 + t^8.83/(g1^4*g2^2) + t^8.83/(g1^3*g2^2) + (2*t^8.83)/(g1^2*g2^2) + (2*t^8.83)/(g1*g2^2) + (2*g1*t^8.83)/g2^2 + (2*g1^2*t^8.83)/g2^2 + (g1^3*t^8.83)/g2^2 + (g1^4*t^8.83)/g2^2 - t^4.42/(g2*y) - t^7.08/(g2^5*y) + (g2^3*t^7.75)/y + t^8.67/(g2^4*y) + t^8.67/(g1*g2^4*y) + (g1*t^8.67)/(g2^4*y) + t^8.83/(g2^2*y) - (t^4.42*y)/g2 - (t^7.08*y)/g2^5 + g2^3*t^7.75*y + (t^8.67*y)/g2^4 + (t^8.67*y)/(g1*g2^4) + (g1*t^8.67*y)/g2^4 + (t^8.83*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2379 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |