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 |
|---|---|---|---|---|---|---|---|---|---|
| 54045 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7q_2\tilde{q}_1$ | 0.6917 | 0.8884 | 0.7785 | [X:[], M:[1.1451, 0.7067, 0.8549, 0.8201, 0.7982, 0.7634, 0.672], q:[0.4101, 0.4448], qb:[0.8832, 0.7351], phi:[0.3817]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [7, 9], [-2, -2], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_4M_7$, $ M_2M_5$, $ M_2M_4$, $ M_6^2$, $ M_3M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_5^2$, $ M_4M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_7\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | . | -2 | t^2.02 + t^2.12 + 2*t^2.29 + t^2.39 + t^2.46 + t^2.56 + t^3.44 + t^3.81 + t^4.03 + t^4.14 + t^4.24 + 2*t^4.31 + 3*t^4.41 + t^4.48 + t^4.51 + 5*t^4.58 + 3*t^4.68 + 2*t^4.75 + t^4.79 + 4*t^4.85 + t^4.92 + t^4.96 + t^5.02 + t^5.13 + t^5.45 + t^5.56 + t^5.73 + t^5.83 + t^5.93 - 2*t^6. + t^6.05 + t^6.1 + t^6.15 - t^6.17 + t^6.21 + t^6.26 + 2*t^6.32 + t^6.36 + t^6.38 + 3*t^6.43 + t^6.49 + 3*t^6.53 + 5*t^6.6 + t^6.63 + 7*t^6.7 + 2*t^6.77 + 4*t^6.81 + 10*t^6.87 + t^6.91 + t^6.94 + 7*t^6.98 + 4*t^7.04 + 3*t^7.08 + 6*t^7.15 + t^7.18 + 2*t^7.21 + 4*t^7.25 + 2*t^7.32 + t^7.35 + t^7.38 + t^7.47 + t^7.49 + t^7.57 + t^7.63 + t^7.68 + t^7.74 + 2*t^7.85 + t^7.95 - t^8.02 + t^8.05 + t^8.06 - 2*t^8.12 + t^8.17 - 2*t^8.19 + 2*t^8.22 + t^8.27 - 6*t^8.29 + t^8.33 + 2*t^8.34 + t^8.38 - 2*t^8.39 + 3*t^8.44 - 6*t^8.46 + t^8.48 + 2*t^8.5 + t^8.51 + 3*t^8.55 - 6*t^8.56 + t^8.6 + 5*t^8.61 - t^8.63 + 3*t^8.65 + t^8.67 + 7*t^8.72 - 2*t^8.73 + t^8.76 + t^8.77 + 2*t^8.78 + 8*t^8.82 - t^8.84 + 10*t^8.89 + 4*t^8.93 + t^8.94 + t^8.95 + 13*t^8.99 - t^4.15/y - t^6.16/y - t^6.27/y - (2*t^6.44)/y - t^6.54/y - t^6.61/y + t^7.14/y + (2*t^7.31)/y + (3*t^7.41)/y + t^7.48/y + t^7.51/y + (3*t^7.58)/y + (4*t^7.68)/y + (3*t^7.75)/y + (5*t^7.85)/y + t^7.96/y + (2*t^8.02)/y + t^8.13/y - t^8.18/y - t^8.28/y - t^8.39/y - t^8.45/y - (2*t^8.56)/y - t^8.62/y - t^8.66/y - (2*t^8.73)/y - t^8.9/y - t^4.15*y - t^6.16*y - t^6.27*y - 2*t^6.44*y - t^6.54*y - t^6.61*y + t^7.14*y + 2*t^7.31*y + 3*t^7.41*y + t^7.48*y + t^7.51*y + 3*t^7.58*y + 4*t^7.68*y + 3*t^7.75*y + 5*t^7.85*y + t^7.96*y + 2*t^8.02*y + t^8.13*y - t^8.18*y - t^8.28*y - t^8.39*y - t^8.45*y - 2*t^8.56*y - t^8.62*y - t^8.66*y - 2*t^8.73*y - t^8.9*y | t^2.02/(g1^7*g2^7) + g1^2*g2^4*t^2.12 + (2*t^2.29)/(g1^2*g2^2) + g1^7*g2^9*t^2.39 + t^2.46/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + g1^11*g2^13*t^3.81 + t^4.03/(g1^14*g2^14) + t^4.14/(g1^5*g2^3) + g1^4*g2^8*t^4.24 + (2*t^4.31)/(g1^9*g2^9) + 3*g2^2*t^4.41 + t^4.48/(g1^13*g2^15) + g1^9*g2^13*t^4.51 + (5*t^4.58)/(g1^4*g2^4) + 3*g1^5*g2^7*t^4.68 + (2*t^4.75)/(g1^8*g2^10) + g1^14*g2^18*t^4.79 + 4*g1*g2*t^4.85 + t^4.92/(g1^12*g2^16) + g1^10*g2^12*t^4.96 + t^5.02/(g1^3*g2^5) + g1^6*g2^6*t^5.13 + t^5.45/(g1^10*g2^10) + (g2*t^5.56)/g1 + t^5.73/(g1^5*g2^5) + g1^4*g2^6*t^5.83 + g1^13*g2^17*t^5.93 - 2*t^6. + t^6.05/(g1^21*g2^21) + g1^9*g2^11*t^6.1 + t^6.15/(g1^12*g2^10) - t^6.17/(g1^4*g2^6) + g1^18*g2^22*t^6.21 + (g2*t^6.26)/g1^3 + (2*t^6.32)/(g1^16*g2^16) + g1^6*g2^12*t^6.36 + g1^14*g2^16*t^6.38 + (3*t^6.43)/(g1^7*g2^5) + t^6.49/(g1^20*g2^22) + 3*g1^2*g2^6*t^6.53 + (5*t^6.6)/(g1^11*g2^11) + g1^11*g2^17*t^6.63 + (7*t^6.7)/g1^2 + (2*t^6.77)/(g1^15*g2^17) + 4*g1^7*g2^11*t^6.81 + (10*t^6.87)/(g1^6*g2^6) + g1^16*g2^22*t^6.91 + t^6.94/(g1^19*g2^23) + 7*g1^3*g2^5*t^6.98 + (4*t^7.04)/(g1^10*g2^12) + 3*g1^12*g2^16*t^7.08 + (6*t^7.15)/(g1*g2) + g1^21*g2^27*t^7.18 + (2*t^7.21)/(g1^14*g2^18) + 4*g1^8*g2^10*t^7.25 + (2*t^7.32)/(g1^5*g2^7) + g1^17*g2^21*t^7.35 + t^7.38/(g1^18*g2^24) + t^7.47/(g1^17*g2^17) + t^7.49/(g1^9*g2^13) + t^7.57/(g1^8*g2^6) + g1^22*g2^26*t^7.63 + g1*g2^5*t^7.68 + t^7.74/(g1^12*g2^12) + (2*t^7.85)/(g1^3*g2) + g1^6*g2^10*t^7.95 - t^8.02/(g1^7*g2^7) + g1^15*g2^21*t^8.05 + t^8.06/(g1^28*g2^28) - 2*g1^2*g2^4*t^8.12 + t^8.17/(g1^19*g2^17) - (2*t^8.19)/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.22 + t^8.27/(g1^10*g2^6) - (6*t^8.29)/(g1^2*g2^2) + g1^20*g2^26*t^8.33 + (2*t^8.34)/(g1^23*g2^23) + (g2^5*t^8.38)/g1 - 2*g1^7*g2^9*t^8.39 + (3*t^8.44)/(g1^14*g2^12) - (6*t^8.46)/(g1^6*g2^8) + g1^8*g2^16*t^8.48 + 2*g1^16*g2^20*t^8.5 + t^8.51/(g1^27*g2^29) + (3*t^8.55)/(g1^5*g2) - 6*g1^3*g2^3*t^8.56 + g1^25*g2^31*t^8.6 + (5*t^8.61)/(g1^18*g2^18) - t^8.63/(g1^10*g2^14) + 3*g1^4*g2^10*t^8.65 + g1^12*g2^14*t^8.67 + (7*t^8.72)/(g1^9*g2^7) - (2*t^8.73)/(g1*g2^3) + g1^13*g2^21*t^8.76 + g1^21*g2^25*t^8.77 + (2*t^8.78)/(g1^22*g2^24) + 8*g2^4*t^8.82 - g1^8*g2^8*t^8.84 + (10*t^8.89)/(g1^13*g2^13) + 4*g1^9*g2^15*t^8.93 + g1^17*g2^19*t^8.94 + t^8.95/(g1^26*g2^30) + (13*t^8.99)/(g1^4*g2^2) - t^4.15/(g1*g2*y) - t^6.16/(g1^8*g2^8*y) - (g1*g2^3*t^6.27)/y - (2*t^6.44)/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.54)/y - t^6.61/(g1^7*g2^9*y) + t^7.14/(g1^5*g2^3*y) + (2*t^7.31)/(g1^9*g2^9*y) + (3*g2^2*t^7.41)/y + t^7.48/(g1^13*g2^15*y) + (g1^9*g2^13*t^7.51)/y + (3*t^7.58)/(g1^4*g2^4*y) + (4*g1^5*g2^7*t^7.68)/y + (3*t^7.75)/(g1^8*g2^10*y) + (5*g1*g2*t^7.85)/y + (g1^10*g2^12*t^7.96)/y + (2*t^8.02)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.13)/y - t^8.18/(g1^15*g2^15*y) - t^8.28/(g1^6*g2^4*y) - (g1^3*g2^7*t^8.39)/y - t^8.45/(g1^10*g2^10*y) - (2*g2*t^8.56)/(g1*y) - t^8.62/(g1^14*g2^16*y) - (g1^8*g2^12*t^8.66)/y - (2*t^8.73)/(g1^5*g2^5*y) - t^8.9/(g1^9*g2^11*y) - (t^4.15*y)/(g1*g2) - (t^6.16*y)/(g1^8*g2^8) - g1*g2^3*t^6.27*y - (2*t^6.44*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.54*y - (t^6.61*y)/(g1^7*g2^9) + (t^7.14*y)/(g1^5*g2^3) + (2*t^7.31*y)/(g1^9*g2^9) + 3*g2^2*t^7.41*y + (t^7.48*y)/(g1^13*g2^15) + g1^9*g2^13*t^7.51*y + (3*t^7.58*y)/(g1^4*g2^4) + 4*g1^5*g2^7*t^7.68*y + (3*t^7.75*y)/(g1^8*g2^10) + 5*g1*g2*t^7.85*y + g1^10*g2^12*t^7.96*y + (2*t^8.02*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.13*y - (t^8.18*y)/(g1^15*g2^15) - (t^8.28*y)/(g1^6*g2^4) - g1^3*g2^7*t^8.39*y - (t^8.45*y)/(g1^10*g2^10) - (2*g2*t^8.56*y)/g1 - (t^8.62*y)/(g1^14*g2^16) - g1^8*g2^12*t^8.66*y - (2*t^8.73*y)/(g1^5*g2^5) - (t^8.9*y)/(g1^9*g2^11) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56518 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_4X_1$ | 0.6058 | 0.7582 | 0.799 | [X:[1.4144], M:[1.1711, 0.976, 0.8289, 0.5856, 1.024, 0.7808, 0.7327], q:[0.2928, 0.5361], qb:[0.7313, 0.8784], phi:[0.3904]] | t^2.2 + 2*t^2.34 + t^2.49 + t^2.93 + t^3.07 + t^3.51 + t^4.24 + t^4.39 + t^4.4 + 2*t^4.54 + 4*t^4.68 + 3*t^4.83 + t^4.97 + t^5.13 + 2*t^5.27 + 2*t^5.41 + t^5.56 + t^5.71 + 2*t^5.86 - t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48251 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6708 | 0.8471 | 0.7919 | [X:[], M:[1.1466, 0.7084, 0.8534, 0.8203, 0.7975, 0.7644], q:[0.4101, 0.4433], qb:[0.8814, 0.7364], phi:[0.3822]] | t^2.13 + 2*t^2.29 + t^2.39 + t^2.46 + t^2.56 + t^3.44 + t^3.81 + t^3.97 + t^4.25 + 2*t^4.42 + t^4.52 + 4*t^4.59 + 3*t^4.69 + 2*t^4.75 + t^4.79 + 4*t^4.85 + t^4.92 + t^4.95 + t^5.02 + t^5.12 + t^5.57 + t^5.73 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail |