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 |
|---|---|---|---|---|---|---|---|---|---|
| 531 | 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_3^2$ + $ M_4^2$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[0.8179, 1.091, 1.0, 1.0, 0.8179], q:[0.541, 0.6411], qb:[0.459, 0.541], phi:[0.4545]] | [X:[], M:[[-4, -4], [2, 2], [0, 0], [0, 0], [-4, -4]], q:[[0, 4], [4, 0]], qb:[[0, -4], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_3$, $ M_4$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1M_3$, $ M_1M_4$, $ M_3M_5$, $ M_4M_5$, $ M_1M_2$, $ M_2M_5$ | $M_3M_4$ | -3 | 2*t^2.45 + 2*t^3. + t^3.25 + t^3.27 + t^3.3 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 5*t^4.91 + t^5.21 + 3*t^5.45 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + t^6.49 + t^6.52 + 3*t^6.57 + t^6.6 + 3*t^6.82 + 4*t^7.06 + 2*t^7.12 + 7*t^7.36 + t^7.42 + 4*t^7.61 + 2*t^7.66 + 3*t^7.85 + 6*t^7.91 + t^7.96 + 3*t^8.18 + t^8.21 + t^8.24 - 6*t^8.45 + 2*t^8.48 + t^8.51 - 3*t^8.7 + 6*t^8.73 - 2*t^8.75 + t^8.78 + 4*t^8.97 - t^4.36/y - (2*t^6.82)/y + (3*t^7.91)/y + (4*t^8.45)/y + (2*t^8.7)/y + (2*t^8.73)/y + (2*t^8.75)/y - t^4.36*y - 2*t^6.82*y + 3*t^7.91*y + 4*t^8.45*y + 2*t^8.7*y + 2*t^8.73*y + 2*t^8.75*y | (2*t^2.45)/(g1^4*g2^4) + 2*t^3. + g2^8*t^3.25 + g1^2*g2^2*t^3.27 + (g1^4*t^3.3)/g2^4 + t^4.12/(g1*g2^9) + (2*t^4.36)/(g1*g2) + (3*g2^7*t^4.61)/g1 + (g1^3*t^4.66)/g2^5 + (3*t^4.91)/(g1^8*g2^8) + 2*g1^3*g2^3*t^4.91 + (g1^7*t^5.21)/g2 + (3*t^5.45)/(g1^4*g2^4) + (2*t^5.73)/(g1^2*g2^2) - 3*t^6. + 2*g1^2*g2^2*t^6.27 + g2^16*t^6.49 + g1^2*g2^10*t^6.52 + (2*t^6.57)/(g1^5*g2^13) + (g1^6*t^6.57)/g2^2 + (g1^8*t^6.6)/g2^8 + (3*t^6.82)/(g1^5*g2^5) + (4*g2^3*t^7.06)/g1^5 + (2*t^7.12)/(g1*g2^9) + (4*t^7.36)/(g1^12*g2^12) + (3*t^7.36)/(g1*g2) + (g1^3*t^7.42)/g2^13 + (4*g2^7*t^7.61)/g1 + (2*g1^3*t^7.66)/g2^5 + (3*g2^15*t^7.85)/g1 + (4*t^7.91)/(g1^8*g2^8) + 2*g1^3*g2^3*t^7.91 + (g1^7*t^7.96)/g2^9 + (3*t^8.18)/(g1^6*g2^6) - t^8.21/(g1^4*g2^12) + (2*g1^7*t^8.21)/g2 + t^8.24/(g1^2*g2^18) - (6*t^8.45)/(g1^4*g2^4) + (2*t^8.48)/(g1^2*g2^10) + (g1^11*t^8.51)/g2^5 - (3*g2^4*t^8.7)/g1^4 + (6*t^8.73)/(g1^2*g2^2) - (2*t^8.75)/g2^8 + (g1^2*t^8.78)/g2^14 + (4*g2^6*t^8.97)/g1^2 - t^4.36/(g1*g2*y) - (2*t^6.82)/(g1^5*g2^5*y) + t^7.91/(g1^8*g2^8*y) + (2*g1^3*g2^3*t^7.91)/y + (4*t^8.45)/(g1^4*g2^4*y) + (2*g2^4*t^8.7)/(g1^4*y) + (2*t^8.73)/(g1^2*g2^2*y) + (2*t^8.75)/(g2^8*y) - (t^4.36*y)/(g1*g2) - (2*t^6.82*y)/(g1^5*g2^5) + (t^7.91*y)/(g1^8*g2^8) + 2*g1^3*g2^3*t^7.91*y + (4*t^8.45*y)/(g1^4*g2^4) + (2*g2^4*t^8.7*y)/g1^4 + (2*t^8.73*y)/(g1^2*g2^2) + (2*t^8.75*y)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1871 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_4^2$ + $ \phi_1q_2^2$ | 0.6991 | 0.86 | 0.8129 | [X:[], M:[0.7009, 1.1495, 1.0, 1.0, 0.7009], q:[0.5117, 0.7874], qb:[0.4883, 0.5117], phi:[0.4252]] | 2*t^2.1 + 2*t^3. + t^3.07 + t^3.45 + t^3.83 + 4*t^4.21 + 2*t^4.28 + 3*t^4.35 + 4*t^5.1 + 2*t^5.17 + 2*t^5.55 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 337 | 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_3^2$ | 0.7289 | 0.8891 | 0.8198 | [X:[], M:[0.7491, 1.1255, 1.0, 0.8745, 0.8745], q:[0.6255, 0.6255], qb:[0.5, 0.5], phi:[0.4373]] | t^2.25 + 2*t^2.62 + t^3. + 3*t^3.38 + 3*t^4.31 + t^4.49 + 4*t^4.69 + 2*t^4.87 + 3*t^5.06 + 4*t^5.25 + t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail |