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 |
|---|---|---|---|---|---|---|---|---|---|
| 338 | 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_3M_5$ | 0.7184 | 0.8775 | 0.8187 | [X:[], M:[0.8179, 1.091, 1.0, 0.8179, 1.0], q:[0.6411, 0.541], qb:[0.541, 0.459], phi:[0.4545]] | [X:[], M:[[-4, 1, 8], [2, 0, -2], [0, -1, -4], [-4, -1, 0], [0, 1, 4]], q:[[4, 0, 0], [0, -1, -8]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ M_1^2$, $ \phi_1q_1^2$, $ M_3M_4$, $ M_1M_3$, $ M_4M_5$, $ M_1M_5$, $ M_2M_4$, $ M_1M_2$ | $M_3^2$, $ M_5^2$ | -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 | t^2.45/(g1^4*g2) + (g2*g3^8*t^2.45)/g1^4 + t^3./(g2*g3^4) + g2*g3^4*t^3. + t^3.25/g3^8 + (g1^2*t^3.27)/g3^2 + g1^4*g3^4*t^3.3 + (g3^9*t^4.12)/g1 + t^4.36/(g1*g2*g3^3) + (g2*g3^5*t^4.36)/g1 + t^4.61/(g1*g2^2*g3^15) + t^4.61/(g1*g3^7) + (g2^2*g3*t^4.61)/g1 + g1^3*g3^5*t^4.66 + t^4.91/(g1^8*g2^2) + (g1^3*t^4.91)/(g2*g3^7) + g1^3*g2*g3*t^4.91 + (g3^8*t^4.91)/g1^8 + (g2^2*g3^16*t^4.91)/g1^8 + g1^7*g3*t^5.21 + t^5.45/(g1^4*g2^2*g3^4) + (g3^4*t^5.45)/g1^4 + (g2^2*g3^12*t^5.45)/g1^4 + t^5.73/(g1^2*g2*g3^2) + (g2*g3^6*t^5.73)/g1^2 - 3*t^6. + (g1^2*t^6.27)/(g2*g3^6) + g1^2*g2*g3^2*t^6.27 + t^6.49/g3^16 + (g1^2*t^6.52)/g3^10 + g1^6*g3^2*t^6.57 + (g3^9*t^6.57)/(g1^5*g2) + (g2*g3^17*t^6.57)/g1^5 + g1^8*g3^8*t^6.6 + t^6.82/(g1^5*g2^2*g3^3) + (g3^5*t^6.82)/g1^5 + (g2^2*g3^13*t^6.82)/g1^5 + t^7.06/(g1^5*g2^3*g3^15) + t^7.06/(g1^5*g2*g3^7) + (g2*g3*t^7.06)/g1^5 + (g2^3*g3^9*t^7.06)/g1^5 + (g3^5*t^7.12)/(g1*g2) + (g2*g3^13*t^7.12)/g1 + t^7.36/(g1^12*g2^3) + t^7.36/(g1*g2^2*g3^7) + (g3*t^7.36)/g1 + (g3^8*t^7.36)/(g1^12*g2) + (g2^2*g3^9*t^7.36)/g1 + (g2*g3^16*t^7.36)/g1^12 + (g2^3*g3^24*t^7.36)/g1^12 + g1^3*g3^13*t^7.42 + t^7.61/(g1*g2^3*g3^19) + t^7.61/(g1*g2*g3^11) + (g2*t^7.61)/(g1*g3^3) + (g2^3*g3^5*t^7.61)/g1 + (g1^3*g3*t^7.66)/g2 + g1^3*g2*g3^9*t^7.66 + t^7.85/(g1*g2^2*g3^23) + t^7.85/(g1*g3^15) + (g2^2*t^7.85)/(g1*g3^7) + (g1^3*t^7.91)/(g2^2*g3^11) + t^7.91/(g1^8*g2^3*g3^4) + (g3^4*t^7.91)/(g1^8*g2) + g1^3*g2^2*g3^5*t^7.91 + (g2*g3^12*t^7.91)/g1^8 + (g2^3*g3^20*t^7.91)/g1^8 + g1^7*g3^9*t^7.96 + t^8.18/(g1^6*g2^2*g3^2) + (g3^6*t^8.18)/g1^6 + (g2^2*g3^14*t^8.18)/g1^6 + (g1^7*t^8.21)/(g2*g3^3) + g1^7*g2*g3^5*t^8.21 - (g3^12*t^8.21)/g1^4 + (g3^18*t^8.24)/g1^2 - (3*t^8.45)/(g1^4*g2) - (3*g2*g3^8*t^8.45)/g1^4 + (g3^6*t^8.48)/(g1^2*g2) + (g2*g3^14*t^8.48)/g1^2 + g1^11*g3^5*t^8.51 - t^8.7/(g1^4*g2^2*g3^12) - t^8.7/(g1^4*g3^4) - (g2^2*g3^4*t^8.7)/g1^4 + (2*t^8.73)/(g1^2*g2^2*g3^6) + (2*g3^2*t^8.73)/g1^2 + (2*g2^2*g3^10*t^8.73)/g1^2 - 2*g3^8*t^8.75 + g1^2*g3^14*t^8.78 + t^8.97/(g1^2*g2^3*g3^18) + t^8.97/(g1^2*g2*g3^10) + (g2*t^8.97)/(g1^2*g3^2) + (g2^3*g3^6*t^8.97)/g1^2 - (g3*t^4.36)/(g1*y) - (g3*t^6.82)/(g1^5*g2*y) - (g2*g3^9*t^6.82)/(g1^5*y) + (g1^3*t^7.91)/(g2*g3^7*y) + (g1^3*g2*g3*t^7.91)/y + (g3^8*t^7.91)/(g1^8*y) + t^8.45/(g1^4*g2^2*g3^4*y) + (2*g3^4*t^8.45)/(g1^4*y) + (g2^2*g3^12*t^8.45)/(g1^4*y) + (g2*t^8.7)/(g1^4*y) + t^8.7/(g1^4*g2*g3^8*y) + t^8.73/(g1^2*g2*g3^2*y) + (g2*g3^6*t^8.73)/(g1^2*y) + (g3^4*t^8.75)/(g2*y) + (g2*g3^12*t^8.75)/y - (g3*t^4.36*y)/g1 - (g3*t^6.82*y)/(g1^5*g2) - (g2*g3^9*t^6.82*y)/g1^5 + (g1^3*t^7.91*y)/(g2*g3^7) + g1^3*g2*g3*t^7.91*y + (g3^8*t^7.91*y)/g1^8 + (t^8.45*y)/(g1^4*g2^2*g3^4) + (2*g3^4*t^8.45*y)/g1^4 + (g2^2*g3^12*t^8.45*y)/g1^4 + (g2*t^8.7*y)/g1^4 + (t^8.7*y)/(g1^4*g2*g3^8) + (t^8.73*y)/(g1^2*g2*g3^2) + (g2*g3^6*t^8.73*y)/g1^2 + (g3^4*t^8.75*y)/g2 + g2*g3^12*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 533 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_6$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.7932, 1.0909, 1.0251, 0.8434, 0.9749, 0.9749], q:[0.6405, 0.5664], qb:[0.5161, 0.4588], phi:[0.4546]] | t^2.38 + t^2.53 + 2*t^2.92 + t^3.25 + t^3.27 + t^3.3 + t^4.12 + t^4.29 + t^4.44 + t^4.46 + t^4.61 + t^4.66 + 2*t^4.76 + t^4.83 + t^4.91 + t^4.98 + t^5.06 + t^5.21 + 2*t^5.3 + t^5.45 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1803 | $M_1q_1q_2$ + $ 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_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 1.2291, 1.1563, 0.698, 0.8437], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.09 + t^2.53 + t^3.47 + 2*t^3.58 + 2*t^3.69 + 2*t^3.8 + t^4.19 + t^4.63 + t^4.84 + t^5.06 + t^5.56 + 2*t^5.67 + t^5.78 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 1802 | $M_1q_1q_2$ + $ 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_3M_5$ + $ \phi_1q_1^2$ | 0.6991 | 0.86 | 0.8129 | [X:[], M:[0.7009, 1.1495, 1.0, 0.7009, 1.0], q:[0.7874, 0.5117], qb:[0.5117, 0.4883], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 212 | 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$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail |