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 |
|---|---|---|---|---|---|---|---|---|---|
| 48187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-8, 0]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_2\phi_1^2$ | . | t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^6.25 + t^6.27 + t^6.7 + t^6.79 + 2*t^6.93 + t^6.94 + 2*t^6.96 + 2*t^7.16 + t^7.17 + 2*t^7.18 + 2*t^7.21 + 2*t^7.38 + t^7.39 + 2*t^7.41 + 2*t^7.44 + t^7.45 + 2*t^7.46 + t^7.63 - t^7.65 + t^7.66 + t^7.69 - t^7.7 + t^7.72 + t^7.9 + t^7.92 - t^7.93 + t^7.94 + 2*t^7.97 + t^8.13 + 2*t^8.14 + t^8.16 + t^8.2 - t^8.21 + t^8.22 + t^8.35 + 2*t^8.37 + t^8.38 + 2*t^8.39 + t^8.48 + 2*t^8.58 + 3*t^8.59 + 2*t^8.61 + 3*t^8.62 - 3*t^8.63 + 2*t^8.65 + t^8.82 + 2*t^8.85 - 5*t^8.86 - t^8.87 - 6*t^8.89 + 2*t^8.9 - t^4.44/y - t^7.07/y - t^7.3/y - t^7.31/y + t^7.56/y + t^7.58/y + t^7.8/y + (2*t^8.49)/y + t^8.51/y + t^8.52/y + t^8.72/y + (2*t^8.73)/y + (3*t^8.75)/y + t^8.76/y + (2*t^8.97)/y + t^8.99/y - t^4.44*y - t^7.07*y - t^7.3*y - t^7.31*y + t^7.56*y + t^7.58*y + t^7.8*y + 2*t^8.49*y + t^8.51*y + t^8.52*y + t^8.72*y + 2*t^8.73*y + 3*t^8.75*y + t^8.76*y + 2*t^8.97*y + t^8.99*y | (g1^16*t^2.63)/g2^8 + (2*t^2.86)/g1^8 + (g1^2*t^2.87)/g2^2 + (g1^12*t^2.89)/g2^4 + (g2^4*t^3.11)/g1^12 + g1^4*g2^4*t^3.39 + (g1^17*t^4.07)/g2^9 + t^4.3/(g1^7*g2) + (g1^13*t^4.32)/g2^5 + (g2^7*t^4.52)/g1^31 + (g2^3*t^4.55)/g1^11 + (2*g1^9*t^4.58)/g2 + (g2^7*t^4.8)/g1^15 + g1^5*g2^3*t^4.83 + g1*g2^7*t^5.08 + (g1^32*t^5.27)/g2^16 + (g1^8*t^5.49)/g2^8 + (g1^18*t^5.51)/g2^10 + (g1^28*t^5.52)/g2^12 + (2*t^5.72)/g1^16 + (2*t^5.73)/(g1^6*g2^2) + (2*g1^4*t^5.75)/g2^4 + (g1^14*t^5.76)/g2^6 + (g2^4*t^5.97)/g1^20 + (g2^2*t^5.99)/g1^10 - 3*t^6. - (g2^4*t^6.25)/g1^4 + g1^6*g2^2*t^6.27 + (g1^33*t^6.7)/g2^17 + g1^8*g2^8*t^6.79 + (2*g1^9*t^6.93)/g2^9 + (g1^19*t^6.94)/g2^11 + (2*g1^29*t^6.96)/g2^13 + (2*t^7.16)/(g1^15*g2) + t^7.17/(g1^5*g2^3) + (2*g1^5*t^7.18)/g2^5 + (2*g1^25*t^7.21)/g2^9 + (2*g2^7*t^7.38)/g1^39 + (g2^5*t^7.39)/g1^29 + (2*g2^3*t^7.41)/g1^19 + (2*g1*t^7.44)/g2 + (g1^11*t^7.45)/g2^3 + (2*g1^21*t^7.46)/g2^5 + (g2^11*t^7.63)/g1^43 - (g2^9*t^7.65)/g1^33 + (g2^7*t^7.66)/g1^23 + (g2^3*t^7.69)/g1^3 - g1^7*g2*t^7.7 + (g1^17*t^7.72)/g2 + (g1^48*t^7.9)/g2^24 + (g2^11*t^7.92)/g1^27 - (g2^9*t^7.93)/g1^17 + (g2^7*t^7.94)/g1^7 + 2*g1^13*g2^3*t^7.97 + (g1^24*t^8.13)/g2^16 + (2*g1^34*t^8.14)/g2^18 + (g1^44*t^8.16)/g2^20 + (g2^11*t^8.2)/g1^11 - (g2^9*t^8.21)/g1 + g1^9*g2^7*t^8.22 + t^8.35/g2^8 + (2*g1^10*t^8.37)/g2^10 + (g1^20*t^8.38)/g2^12 + (2*g1^30*t^8.39)/g2^14 + g1^5*g2^11*t^8.48 + (2*t^8.58)/g1^24 + (3*t^8.59)/(g1^14*g2^2) + (2*t^8.61)/(g1^4*g2^4) + (3*g1^6*t^8.62)/g2^6 - (3*g1^16*t^8.63)/g2^8 + (2*g1^26*t^8.65)/g2^10 + (g2^6*t^8.82)/g1^38 + (2*g2^2*t^8.85)/g1^18 - (5*t^8.86)/g1^8 - (g1^2*t^8.87)/g2^2 - (6*g1^12*t^8.89)/g2^4 + (2*g1^22*t^8.9)/g2^6 - (g1*t^4.44)/(g2*y) - (g1^17*t^7.07)/(g2^9*y) - t^7.3/(g1^7*g2*y) - (g1^3*t^7.31)/(g2^3*y) + (g2*t^7.56)/(g1*y) + (g1^9*t^7.58)/(g2*y) + (g2^7*t^7.8)/(g1^15*y) + (2*g1^8*t^8.49)/(g2^8*y) + (g1^18*t^8.51)/(g2^10*y) + (g1^28*t^8.52)/(g2^12*y) + t^8.72/(g1^16*y) + (2*t^8.73)/(g1^6*g2^2*y) + (3*g1^4*t^8.75)/(g2^4*y) + (g1^14*t^8.76)/(g2^6*y) + (2*g2^4*t^8.97)/(g1^20*y) + (g2^2*t^8.99)/(g1^10*y) - (g1*t^4.44*y)/g2 - (g1^17*t^7.07*y)/g2^9 - (t^7.3*y)/(g1^7*g2) - (g1^3*t^7.31*y)/g2^3 + (g2*t^7.56*y)/g1 + (g1^9*t^7.58*y)/g2 + (g2^7*t^7.8*y)/g1^15 + (2*g1^8*t^8.49*y)/g2^8 + (g1^18*t^8.51*y)/g2^10 + (g1^28*t^8.52*y)/g2^12 + (t^8.72*y)/g1^16 + (2*t^8.73*y)/(g1^6*g2^2) + (3*g1^4*t^8.75*y)/g2^4 + (g1^14*t^8.76*y)/g2^6 + (2*g2^4*t^8.97*y)/g1^20 + (g2^2*t^8.99*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 53794 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[1.0398, 1.0329, 0.9602, 0.8944, 0.9671, 0.9602, 1.0363], q:[0.4472, 0.513], qb:[0.5199, 0.5926], phi:[0.4818]] | t^2.68 + 2*t^2.88 + t^2.9 + t^3.1 + t^3.11 + t^3.34 + t^4.13 + t^4.33 + t^4.35 + t^4.52 + t^4.54 + 2*t^4.56 + t^4.76 + t^4.78 + t^5. + t^5.37 + t^5.56 + t^5.58 + 2*t^5.76 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 52327 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ | 0.6433 | 0.803 | 0.801 | [X:[], M:[0.8774, 1.1981, 1.1226, 0.7264, 0.8019, 1.1226], q:[0.3632, 0.7594], qb:[0.4387, 0.5142], phi:[0.4811]] | t^2.18 + t^2.41 + t^2.86 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.36 + t^4.53 + t^4.58 + t^4.81 + t^5.04 + t^5.07 + t^5.26 + t^5.29 + t^5.55 + t^5.72 + t^5.75 + 2*t^5.77 + t^5.8 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46737 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ | 0.7024 | 0.8607 | 0.8161 | [X:[], M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |