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 |
|---|---|---|---|---|---|---|---|---|---|
| 47124 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1^2$ | 0.7185 | 0.912 | 0.7878 | [X:[], M:[1.1099, 0.7844, 0.6702, 0.9957, 0.8901, 0.6787], q:[0.4381, 0.4519], qb:[0.7775, 0.5523], phi:[0.445]] | [X:[], M:[[0, 4], [1, 3], [0, -12], [-1, -11], [0, -4], [2, 10]], q:[[-1, -4], [1, 0]], qb:[[0, 1], [0, 11]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_3M_6$, $ \phi_1q_2^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_3M_4$, $ M_6q_1\tilde{q}_2$, $ M_2M_5$, $ M_4M_6$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ q_1^2\tilde{q}_2^2$, $ M_4^2$ | . | -3 | t^2.01 + t^2.04 + t^2.35 + 2*t^2.67 + t^2.97 + t^2.99 + t^3.69 + t^4.01 + t^4.02 + 2*t^4.05 + t^4.07 + t^4.31 + t^4.35 + t^4.36 + t^4.39 + t^4.65 + 2*t^4.68 + 3*t^4.71 + t^4.98 + t^5. + t^5.01 + 3*t^5.02 + t^5.32 + 4*t^5.34 + 2*t^5.64 + t^5.66 + t^5.72 + t^5.94 + t^5.97 - 3*t^6. + t^6.02 + t^6.03 + t^6.04 + 2*t^6.06 + 2*t^6.08 + t^6.11 - t^6.3 + 3*t^6.36 + t^6.37 + t^6.38 + 2*t^6.4 + t^6.43 + t^6.66 + 2*t^6.68 + 3*t^6.69 + t^6.7 + 5*t^6.72 + 3*t^6.74 + t^6.98 + t^6.99 + t^7. + t^7.01 + 2*t^7.02 + 3*t^7.03 + t^7.04 + 4*t^7.06 + t^7.28 - t^7.29 + 2*t^7.32 - t^7.34 + 4*t^7.35 + t^7.36 + 5*t^7.38 + t^7.62 - t^7.64 + t^7.65 + t^7.67 + t^7.68 + 5*t^7.69 + t^7.73 + t^7.76 + t^7.98 + t^7.99 + 3*t^8.01 + t^8.03 - 2*t^8.04 + t^8.05 + 2*t^8.07 + t^8.08 + 3*t^8.09 + 2*t^8.12 + t^8.14 + t^8.31 + 2*t^8.33 - t^8.34 - 4*t^8.35 + t^8.37 + t^8.38 + 4*t^8.39 + 2*t^8.41 + t^8.42 + 2*t^8.44 + t^8.46 + 2*t^8.61 - t^8.63 + t^8.64 - t^8.65 - 7*t^8.67 + 2*t^8.69 + 3*t^8.7 + 3*t^8.71 + t^8.72 + 5*t^8.73 + t^8.74 + 6*t^8.75 + 3*t^8.78 + t^8.91 + 2*t^8.96 - 5*t^8.97 - 3*t^8.99 - t^4.34/y - t^6.35/y - t^6.37/y - t^6.69/y - t^7.01/y + t^7.05/y - t^7.32/y + t^7.35/y + t^7.36/y + t^7.39/y + t^7.66/y + (2*t^7.68)/y + (2*t^7.71)/y + (2*t^7.98)/y + t^8./y + t^8.01/y + (3*t^8.02)/y + t^8.3/y + (2*t^8.32)/y + (2*t^8.34)/y - t^8.36/y - t^8.38/y - t^8.41/y + (2*t^8.64)/y + (2*t^8.66)/y + t^8.96/y - t^4.34*y - t^6.35*y - t^6.37*y - t^6.69*y - t^7.01*y + t^7.05*y - t^7.32*y + t^7.35*y + t^7.36*y + t^7.39*y + t^7.66*y + 2*t^7.68*y + 2*t^7.71*y + 2*t^7.98*y + t^8.*y + t^8.01*y + 3*t^8.02*y + t^8.3*y + 2*t^8.32*y + 2*t^8.34*y - t^8.36*y - t^8.38*y - t^8.41*y + 2*t^8.64*y + 2*t^8.66*y + t^8.96*y | t^2.01/g2^12 + g1^2*g2^10*t^2.04 + g1*g2^3*t^2.35 + (2*t^2.67)/g2^4 + (g2^7*t^2.97)/g1 + t^2.99/(g1*g2^11) + g1*g2*t^3.69 + t^4.01/g2^6 + t^4.02/g2^24 + (2*g1^2*t^4.05)/g2^2 + g1^4*g2^20*t^4.07 + (g2^5*t^4.31)/g1 + g1*g2^9*t^4.35 + (g1*t^4.36)/g2^9 + g1^3*g2^13*t^4.39 + g2^20*t^4.65 + (2*t^4.68)/g2^16 + 3*g1^2*g2^6*t^4.71 + t^4.98/(g1*g2^5) + t^5./(g1*g2^23) + g1*g2^17*t^5.01 + (3*g1*t^5.02)/g2 + g2^10*t^5.32 + (4*t^5.34)/g2^8 + (2*g2^3*t^5.64)/g1 + t^5.66/(g1*g2^15) + g1^3*g2^11*t^5.72 + (g2^14*t^5.94)/g1^2 + t^5.97/(g1^2*g2^22) - 3*t^6. + t^6.02/g2^18 + t^6.03/g2^36 + g1^2*g2^4*t^6.04 + (2*g1^2*t^6.06)/g2^14 + 2*g1^4*g2^8*t^6.08 + g1^6*g2^30*t^6.11 - (g2^11*t^6.3)/g1 + (3*g1*t^6.36)/g2^3 + (g1*t^6.37)/g2^21 + g1^3*g2^19*t^6.38 + 2*g1^3*g2*t^6.4 + g1^5*g2^23*t^6.43 + g2^8*t^6.66 + (2*t^6.68)/g2^10 + (2*t^6.69)/g2^28 + g1^2*g2^30*t^6.69 + g1^2*g2^12*t^6.7 + (5*g1^2*t^6.72)/g2^6 + 3*g1^4*g2^16*t^6.74 + (g2*t^6.98)/g1 + t^6.99/(g1*g2^17) + g1*g2^23*t^7. + t^7.01/(g1*g2^35) + 2*g1*g2^5*t^7.02 + (3*g1*t^7.03)/g2^13 + g1^3*g2^27*t^7.04 + 4*g1^3*g2^9*t^7.06 + (g2^12*t^7.28)/g1^2 - t^7.29/(g1^2*g2^6) + 2*g2^16*t^7.32 - t^7.34/g2^2 + (4*t^7.35)/g2^20 + g1^2*g2^20*t^7.36 + 5*g1^2*g2^2*t^7.38 + (g2^27*t^7.62)/g1 - (g2^9*t^7.64)/g1 + t^7.65/(g1*g2^9) + t^7.67/(g1*g2^27) + g1*g2^13*t^7.68 + (5*g1*t^7.69)/g2^5 + (g1^3*t^7.73)/g2 + g1^5*g2^21*t^7.76 + t^7.98/(g1^2*g2^34) + g2^6*t^7.99 + (3*t^8.01)/g2^12 + t^8.03/g2^30 + t^8.04/g2^48 - 3*g1^2*g2^10*t^8.04 + (g1^2*t^8.05)/g2^8 + (2*g1^2*t^8.07)/g2^26 + g1^4*g2^14*t^8.08 + (3*g1^4*t^8.09)/g2^4 + 2*g1^6*g2^18*t^8.12 + g1^8*g2^40*t^8.14 + t^8.31/(g1*g2) + (2*t^8.33)/(g1*g2^19) - g1*g2^21*t^8.34 - 4*g1*g2^3*t^8.35 + (g1*t^8.37)/g2^15 + (g1*t^8.38)/g2^33 + 4*g1^3*g2^7*t^8.39 + (2*g1^3*t^8.41)/g2^11 + g1^5*g2^29*t^8.42 + 2*g1^5*g2^11*t^8.44 + g1^7*g2^33*t^8.46 + (2*g2^10*t^8.61)/g1^2 - t^8.63/(g1^2*g2^8) + t^8.64/(g1^2*g2^26) - g2^14*t^8.65 - (7*t^8.67)/g2^4 + (2*t^8.69)/g2^22 + (2*t^8.7)/g2^40 + g1^2*g2^18*t^8.7 + 3*g1^2*t^8.71 + g1^4*g2^40*t^8.72 + (5*g1^2*t^8.73)/g2^18 + g1^4*g2^22*t^8.74 + 6*g1^4*g2^4*t^8.75 + 3*g1^6*g2^26*t^8.78 + (g2^21*t^8.91)/g1^3 + t^8.96/(g1^3*g2^33) + (g2^25*t^8.96)/g1 - (5*g2^7*t^8.97)/g1 - (3*t^8.99)/(g1*g2^11) - t^4.34/(g2^2*y) - t^6.35/(g2^14*y) - (g1^2*g2^8*t^6.37)/y - (g1*g2*t^6.69)/y - t^7.01/(g2^6*y) + (g1^2*t^7.05)/(g2^2*y) - t^7.32/(g1*g2^13*y) + (g1*g2^9*t^7.35)/y + (g1*t^7.36)/(g2^9*y) + (g1^3*g2^13*t^7.39)/y + (g2^2*t^7.66)/y + (2*t^7.68)/(g2^16*y) + (2*g1^2*g2^6*t^7.71)/y + (2*t^7.98)/(g1*g2^5*y) + t^8./(g1*g2^23*y) + (g1*g2^17*t^8.01)/y + (3*g1*t^8.02)/(g2*y) + t^8.3/(g1^2*g2^12*y) + (2*g2^10*t^8.32)/y + (2*t^8.34)/(g2^8*y) - t^8.36/(g2^26*y) - (g1^2*t^8.38)/(g2^4*y) - (g1^4*g2^18*t^8.41)/y + (2*g2^3*t^8.64)/(g1*y) + (2*t^8.66)/(g1*g2^15*y) + t^8.96/(g1^2*g2^4*y) - (t^4.34*y)/g2^2 - (t^6.35*y)/g2^14 - g1^2*g2^8*t^6.37*y - g1*g2*t^6.69*y - (t^7.01*y)/g2^6 + (g1^2*t^7.05*y)/g2^2 - (t^7.32*y)/(g1*g2^13) + g1*g2^9*t^7.35*y + (g1*t^7.36*y)/g2^9 + g1^3*g2^13*t^7.39*y + g2^2*t^7.66*y + (2*t^7.68*y)/g2^16 + 2*g1^2*g2^6*t^7.71*y + (2*t^7.98*y)/(g1*g2^5) + (t^8.*y)/(g1*g2^23) + g1*g2^17*t^8.01*y + (3*g1*t^8.02*y)/g2 + (t^8.3*y)/(g1^2*g2^12) + 2*g2^10*t^8.32*y + (2*t^8.34*y)/g2^8 - (t^8.36*y)/g2^26 - (g1^2*t^8.38*y)/g2^4 - g1^4*g2^18*t^8.41*y + (2*g2^3*t^8.64*y)/g1 + (2*t^8.66*y)/(g1*g2^15) + (t^8.96*y)/(g1^2*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55582 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_3X_1$ | 0.6948 | 0.8638 | 0.8044 | [X:[1.334], M:[1.1113, 0.8148, 0.666, 0.9626, 0.8887, 0.7409], q:[0.4074, 0.4813], qb:[0.7778, 0.5562], phi:[0.4443]] | t^2.22 + t^2.44 + 2*t^2.67 + 2*t^2.89 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.45 + 2*t^4.67 + 3*t^4.89 + 4*t^5.11 + 5*t^5.33 + t^5.55 + 2*t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46626 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ | 0.6977 | 0.8713 | 0.8008 | [X:[], M:[1.1105, 0.7877, 0.6686, 0.9913, 0.8895], q:[0.4346, 0.4549], qb:[0.7776, 0.5538], phi:[0.4448]] | t^2.01 + t^2.36 + 2*t^2.67 + 2*t^2.97 + t^3.7 + t^3.94 + t^4. + t^4.01 + t^4.06 + t^4.3 + t^4.36 + t^4.37 + t^4.66 + 2*t^4.67 + t^4.73 + t^4.97 + t^4.98 + 2*t^5.03 + t^5.33 + 4*t^5.34 + 2*t^5.63 + t^5.64 + t^5.93 + 2*t^5.95 - 3*t^6. - t^4.33/y - t^4.33*y | detail |