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 |
|---|---|---|---|---|---|---|---|---|---|
| 46205 | 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_3M_4$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.7691, 0.8187, 1.0248, 0.9752, 0.9752], q:[0.6602, 0.5707], qb:[0.5212, 0.4541], phi:[0.4485]] | [X:[], M:[[-4, 1, 8], [-4, -1, 0], [0, -1, -4], [0, 1, 4], [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 |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1q_2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1^2q_2\tilde{q}_1$ | . | -4 | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. + t^6.03 - t^6.15 + t^6.2 + t^6.27 - t^6.35 + t^6.38 - t^6.42 + t^6.53 + t^6.55 + t^6.58 - t^6.62 + t^6.69 + t^6.73 + t^6.76 + t^6.78 + t^6.88 + t^6.92 + t^6.93 + t^6.96 + 2*t^7. + t^7.07 + t^7.08 + t^7.11 + t^7.16 + 2*t^7.2 + t^7.22 + t^7.23 + 2*t^7.31 + t^7.35 + t^7.37 + 2*t^7.4 + t^7.41 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.55 + t^7.6 + 2*t^7.61 + 2*t^7.69 + t^7.7 + t^7.75 - t^7.78 + 2*t^7.81 + 2*t^7.84 + t^7.9 + 2*t^7.92 - t^7.93 + t^8.03 + t^8.05 + 2*t^8.07 - t^8.08 - t^8.11 + t^8.14 + 2*t^8.16 - t^8.2 + 2*t^8.23 - t^8.31 + t^8.34 - t^8.35 - 4*t^8.46 + t^8.49 - t^8.51 + 3*t^8.54 - t^8.6 - t^8.62 + t^8.65 + t^8.68 - 3*t^8.69 - t^8.72 + t^8.74 + t^8.76 + 2*t^8.78 - t^8.81 + t^8.83 + 3*t^8.89 - 9*t^8.93 + t^8.94 + 2*t^8.96 + t^8.98 - t^4.35/y - t^6.65/y - t^6.8/y - t^7.04/y - t^7.27/y + t^7.42/y + t^7.65/y + t^7.76/y + t^7.89/y + t^8./y + t^8.04/y + t^8.15/y + (2*t^8.23)/y + (2*t^8.38)/y + t^8.58/y + (2*t^8.62)/y + t^8.65/y + t^8.73/y + t^8.8/y + t^8.85/y - t^8.96/y + t^8.97/y - t^4.35*y - t^6.65*y - t^6.8*y - t^7.04*y - t^7.27*y + t^7.42*y + t^7.65*y + t^7.76*y + t^7.89*y + t^8.*y + t^8.04*y + t^8.15*y + 2*t^8.23*y + 2*t^8.38*y + t^8.58*y + 2*t^8.62*y + t^8.65*y + t^8.73*y + t^8.8*y + t^8.85*y - t^8.96*y + t^8.97*y | (g2*g3^8*t^2.31)/g1^4 + t^2.46/(g1^4*g2) + (g3^2*t^2.69)/g1^2 + 2*g2*g3^4*t^2.93 + t^3.28/g3^8 + g1^4*g3^4*t^3.34 + (g3^9*t^4.07)/g1 + (g2*g3^5*t^4.27)/g1 + t^4.42/(g1*g2*g3^3) + (g2^2*g3*t^4.47)/g1 + (g2^2*g3^16*t^4.61)/g1^8 + t^4.62/(g1*g3^7) + g1^3*g3^5*t^4.69 + (g3^8*t^4.76)/g1^8 + t^4.77/(g1*g2^2*g3^15) + g1^3*g2*g3*t^4.89 + t^4.91/(g1^8*g2^2) + (g2*g3^10*t^5.)/g1^6 + (g1^3*t^5.04)/(g2*g3^7) + (g3^2*t^5.15)/(g1^6*g2) + (2*g2^2*g3^12*t^5.23)/g1^4 + g1^7*g3*t^5.31 + (2*g3^4*t^5.38)/g1^4 + (2*g2*g3^6*t^5.62)/g1^2 + 2*g2^2*g3^8*t^5.85 + t^5.97/(g1^2*g3^6) - 4*t^6. + g1^2*g3^6*t^6.03 - t^6.15/(g2^2*g3^8) + (g2*t^6.2)/g3^4 + g1^4*g2*g3^8*t^6.27 - t^6.35/(g2*g3^12) + (g2*g3^17*t^6.38)/g1^5 - (g1^4*t^6.42)/g2 + (g3^9*t^6.53)/(g1^5*g2) + t^6.55/g3^16 + (g2^2*g3^13*t^6.58)/g1^5 - (g1^4*t^6.62)/g3^4 + g1^8*g3^8*t^6.69 + (g3^5*t^6.73)/g1^5 + (g3^11*t^6.76)/g1^3 + (g2^3*g3^9*t^6.78)/g1^5 + t^6.88/(g1^5*g2^2*g3^3) + (g2^3*g3^24*t^6.92)/g1^12 + (g2*g3*t^6.93)/g1^5 + (g2*g3^7*t^6.96)/g1^3 + (2*g2*g3^13*t^7.)/g1 + (g2*g3^16*t^7.07)/g1^12 + t^7.08/(g1^5*g2*g3^7) + t^7.11/(g1^3*g2*g3) + (g2^2*g3^3*t^7.16)/g1^3 + (2*g2^2*g3^9*t^7.2)/g1 + (g3^8*t^7.22)/(g1^12*g2) + t^7.23/(g1^5*g2^3*g3^15) + t^7.31/(g1^3*g3^5) + (g2^2*g3^18*t^7.31)/g1^10 + (g3*t^7.35)/g1 + t^7.37/(g1^12*g2^3) + (2*g2^3*g3^5*t^7.4)/g1 + g1^3*g3^13*t^7.41 + (g3^10*t^7.45)/g1^10 + t^7.46/(g1^3*g2^2*g3^13) + (2*g2^3*g3^20*t^7.54)/g1^8 + (g2*t^7.55)/(g1*g3^3) + (g3^2*t^7.6)/(g1^10*g2^2) + 2*g1^3*g2*g3^9*t^7.61 + (2*g2*g3^12*t^7.69)/g1^8 + t^7.7/(g1*g2*g3^11) + (g2^2*t^7.75)/(g1*g3^7) - (g1*g2^2*t^7.78)/g3 + 2*g1^3*g2^2*g3^5*t^7.81 + (2*g3^4*t^7.84)/(g1^8*g2) + t^7.9/(g1*g3^15) + (2*g2^2*g3^14*t^7.92)/g1^6 - (g1*t^7.93)/g3^9 + g1^7*g3^9*t^8.03 + t^8.05/(g1*g2^2*g3^23) + (2*g3^6*t^8.07)/g1^6 - (g1*t^8.08)/(g2^2*g3^17) - (g3^12*t^8.11)/g1^4 + (g3^18*t^8.14)/g1^2 + (2*g2^3*g3^16*t^8.16)/g1^4 - (g1^5*g2*t^8.2)/g3 + 2*g1^7*g2*g3^5*t^8.23 - (g2*g3^8*t^8.31)/g1^4 + (g2*g3^14*t^8.34)/g1^2 - (g1^5*t^8.35)/(g2*g3^9) - (4*t^8.46)/(g1^4*g2) + (g3^6*t^8.49)/(g1^2*g2) - (g2^2*g3^4*t^8.51)/g1^4 + (3*g2^2*g3^10*t^8.54)/g1^2 - t^8.6/(g1^4*g2^3*g3^8) - (g1^9*t^8.62)/g3 + g1^11*g3^5*t^8.65 + (g2^2*g3^25*t^8.68)/g1^9 - (3*g3^2*t^8.69)/g1^2 - g3^8*t^8.72 + (g2^3*g3^6*t^8.74)/g1^2 + g1^2*g3^14*t^8.76 + 2*g2^3*g3^12*t^8.78 - t^8.81/(g1^4*g2^2*g3^12) + (g3^17*t^8.83)/g1^9 + (2*g2*t^8.89)/(g1^2*g3^2) + (g2^3*g3^21*t^8.89)/g1^9 - 9*g2*g3^4*t^8.93 + (g2^4*g3^2*t^8.94)/g1^2 + 2*g1^2*g2*g3^10*t^8.96 + (g3^9*t^8.98)/(g1^9*g2^2) - (g3*t^4.35)/(g1*y) - (g2*g3^9*t^6.65)/(g1^5*y) - (g3*t^6.8)/(g1^5*g2*y) - (g3^3*t^7.04)/(g1^3*y) - (g2*g3^5*t^7.27)/(g1*y) + t^7.42/(g1*g2*g3^3*y) + (g1*t^7.65)/(g3*y) + (g3^8*t^7.76)/(g1^8*y) + (g1^3*g2*g3*t^7.89)/y + (g2*g3^10*t^8.)/(g1^6*y) + (g1^3*t^8.04)/(g2*g3^7*y) + (g3^2*t^8.15)/(g1^6*g2*y) + (2*g2^2*g3^12*t^8.23)/(g1^4*y) + (2*g3^4*t^8.38)/(g1^4*y) + (g2*t^8.58)/(g1^4*y) + (2*g2*g3^6*t^8.62)/(g1^2*y) + (g2*g3^12*t^8.65)/y + t^8.73/(g1^4*g2*g3^8*y) + (g3^4*t^8.8)/(g2*y) + (g2^2*g3^8*t^8.85)/y - (g2^2*g3^17*t^8.96)/(g1^9*y) + t^8.97/(g1^2*g3^6*y) - (g3*t^4.35*y)/g1 - (g2*g3^9*t^6.65*y)/g1^5 - (g3*t^6.8*y)/(g1^5*g2) - (g3^3*t^7.04*y)/g1^3 - (g2*g3^5*t^7.27*y)/g1 + (t^7.42*y)/(g1*g2*g3^3) + (g1*t^7.65*y)/g3 + (g3^8*t^7.76*y)/g1^8 + g1^3*g2*g3*t^7.89*y + (g2*g3^10*t^8.*y)/g1^6 + (g1^3*t^8.04*y)/(g2*g3^7) + (g3^2*t^8.15*y)/(g1^6*g2) + (2*g2^2*g3^12*t^8.23*y)/g1^4 + (2*g3^4*t^8.38*y)/g1^4 + (g2*t^8.58*y)/g1^4 + (2*g2*g3^6*t^8.62*y)/g1^2 + g2*g3^12*t^8.65*y + (t^8.73*y)/(g1^4*g2*g3^8) + (g3^4*t^8.8*y)/g2 + g2^2*g3^8*t^8.85*y - (g2^2*g3^17*t^8.96*y)/g1^9 + (t^8.97*y)/(g1^2*g3^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46675 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 46493 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_1$ | 0.5753 | 0.747 | 0.7701 | [X:[], M:[0.6827, 0.76, 1.0387, 0.9613, 0.9613], q:[0.4938, 0.8235], qb:[0.7462, 0.2152], phi:[0.4303]] | t^2.05 + t^2.13 + t^2.28 + 2*t^2.58 + 2*t^2.88 + t^3.42 + t^4.1 + t^4.18 + 2*t^4.25 + t^4.33 + t^4.41 + t^4.56 + 2*t^4.63 + 3*t^4.71 + 2*t^4.86 + 2*t^4.93 + 2*t^5.01 + 4*t^5.16 + 4*t^5.47 + t^5.54 + 3*t^5.77 - 2*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46011 | 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_3M_4$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[0.7935, 0.7935, 1.0, 1.0], q:[0.6608, 0.5457], qb:[0.5457, 0.4543], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |