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 |
|---|---|---|---|---|---|---|---|---|---|
| 357 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6272 | 0.8162 | 0.7685 | [X:[], M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | . | -5 | 4*t^2.23 + t^2.93 + t^3.07 + 2*t^3.21 + 2*t^3.63 + 3*t^4.33 + 10*t^4.47 + 4*t^5.16 + 4*t^5.3 + 6*t^5.44 + 8*t^5.86 - 5*t^6. + t^6.14 + 2*t^6.28 + 3*t^6.42 + 10*t^6.56 + 18*t^6.7 - 2*t^6.98 + 3*t^7.26 + 8*t^7.4 + 8*t^7.53 + 12*t^7.67 + 4*t^7.95 + 14*t^8.09 - 20*t^8.23 + 2*t^8.37 + 6*t^8.51 + 13*t^8.65 + 22*t^8.79 + 22*t^8.93 - t^4.53/y - (2*t^6.77)/y + t^7.33/y + (6*t^7.47)/y - t^7.74/y + (4*t^8.16)/y + (6*t^8.3)/y + (8*t^8.44)/y + (8*t^8.86)/y - t^4.53*y - 2*t^6.77*y + t^7.33*y + 6*t^7.47*y - t^7.74*y + 4*t^8.16*y + 6*t^8.3*y + 8*t^8.44*y + 8*t^8.86*y | (2*g1^7*t^2.23)/g2^5 + (2*g2^7*t^2.23)/g1^5 + g1^4*g2^4*t^2.93 + t^3.07/(g1^4*g2^4) + (2*t^3.21)/(g1^12*g2^12) + g1^13*g2*t^3.63 + g1*g2^13*t^3.63 + (g1^22*t^4.33)/g2^2 + g1^10*g2^10*t^4.33 + (g2^22*t^4.33)/g1^2 + (3*g1^14*t^4.47)/g2^10 + 4*g1^2*g2^2*t^4.47 + (3*g2^14*t^4.47)/g1^10 + (2*g1^11*t^5.16)/g2 + (2*g2^11*t^5.16)/g1 + (2*g1^3*t^5.3)/g2^9 + (2*g2^3*t^5.3)/g1^9 + (3*t^5.44)/(g1^5*g2^17) + (3*t^5.44)/(g1^17*g2^5) + (2*g1^20*t^5.86)/g2^4 + 4*g1^8*g2^8*t^5.86 + (2*g2^20*t^5.86)/g1^4 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.14/(g1^8*g2^8) + (2*t^6.28)/(g1^16*g2^16) + (3*t^6.42)/(g1^24*g2^24) + (2*g1^29*t^6.56)/g2^7 + 3*g1^17*g2^5*t^6.56 + 3*g1^5*g2^17*t^6.56 + (2*g2^29*t^6.56)/g1^7 + (4*g1^21*t^6.7)/g2^15 + (5*g1^9*t^6.7)/g2^3 + (5*g2^9*t^6.7)/g1^3 + (4*g2^21*t^6.7)/g1^15 - t^6.98/(g1^7*g2^19) - t^6.98/(g1^19*g2^7) + g1^26*g2^2*t^7.26 + g1^14*g2^14*t^7.26 + g1^2*g2^26*t^7.26 + (3*g1^18*t^7.4)/g2^6 + 2*g1^6*g2^6*t^7.4 + (3*g2^18*t^7.4)/g1^6 + (3*g1^10*t^7.53)/g2^14 + (2*t^7.53)/(g1^2*g2^2) + (3*g2^10*t^7.53)/g1^14 + (4*g1^2*t^7.67)/g2^22 + (4*t^7.67)/(g1^10*g2^10) + (4*g2^2*t^7.67)/g1^22 + (g1^35*t^7.95)/g2 + g1^23*g2^11*t^7.95 + g1^11*g2^23*t^7.95 + (g2^35*t^7.95)/g1 + (3*g1^27*t^8.09)/g2^9 + 4*g1^15*g2^3*t^8.09 + 4*g1^3*g2^15*t^8.09 + (3*g2^27*t^8.09)/g1^9 - (2*g1^19*t^8.23)/g2^17 - (8*g1^7*t^8.23)/g2^5 - (8*g2^7*t^8.23)/g1^5 - (2*g2^19*t^8.23)/g1^17 + t^8.37/(g1*g2^13) + t^8.37/(g1^13*g2) + (3*t^8.51)/(g1^9*g2^21) + (3*t^8.51)/(g1^21*g2^9) + (4*t^8.65)/(g1^17*g2^29) + (4*t^8.65)/(g1^29*g2^17) + (g1^44*t^8.65)/g2^4 + g1^32*g2^8*t^8.65 + g1^20*g2^20*t^8.65 + g1^8*g2^32*t^8.65 + (g2^44*t^8.65)/g1^4 + 5*g1^24*t^8.79 + (3*g1^36*t^8.79)/g2^12 + 6*g1^12*g2^12*t^8.79 + 5*g2^24*t^8.79 + (3*g2^36*t^8.79)/g1^12 + (5*g1^28*t^8.93)/g2^20 + (5*g1^16*t^8.93)/g2^8 + 2*g1^4*g2^4*t^8.93 + (5*g2^16*t^8.93)/g1^8 + (5*g2^28*t^8.93)/g1^20 - t^4.53/(g1^2*g2^2*y) - (g1^5*t^6.77)/(g2^7*y) - (g2^5*t^6.77)/(g1^7*y) + (g1^10*g2^10*t^7.33)/y + (g1^14*t^7.47)/(g2^10*y) + (4*g1^2*g2^2*t^7.47)/y + (g2^14*t^7.47)/(g1^10*y) - t^7.74/(g1^14*g2^14*y) + (2*g1^11*t^8.16)/(g2*y) + (2*g2^11*t^8.16)/(g1*y) + (3*g1^3*t^8.3)/(g2^9*y) + (3*g2^3*t^8.3)/(g1^9*y) + (4*t^8.44)/(g1^5*g2^17*y) + (4*t^8.44)/(g1^17*g2^5*y) + (2*g1^20*t^8.86)/(g2^4*y) + (4*g1^8*g2^8*t^8.86)/y + (2*g2^20*t^8.86)/(g1^4*y) - (t^4.53*y)/(g1^2*g2^2) - (g1^5*t^6.77*y)/g2^7 - (g2^5*t^6.77*y)/g1^7 + g1^10*g2^10*t^7.33*y + (g1^14*t^7.47*y)/g2^10 + 4*g1^2*g2^2*t^7.47*y + (g2^14*t^7.47*y)/g1^10 - (t^7.74*y)/(g1^14*g2^14) + (2*g1^11*t^8.16*y)/g2 + (2*g2^11*t^8.16*y)/g1 + (3*g1^3*t^8.3*y)/g2^9 + (3*g2^3*t^8.3*y)/g1^9 + (4*t^8.44*y)/(g1^5*g2^17) + (4*t^8.44*y)/(g1^17*g2^5) + (2*g1^20*t^8.86*y)/g2^4 + 4*g1^8*g2^8*t^8.86*y + (2*g2^20*t^8.86*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1800 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6264 | 0.8149 | 0.7686 | [X:[], M:[0.9832, 1.0505, 0.729, 0.7626], q:[0.7458, 0.271], qb:[0.4916, 0.4579], phi:[0.5084]] | 2*t^2.19 + 2*t^2.29 + t^2.95 + t^3.05 + 2*t^3.15 + t^3.61 + t^3.71 + t^4.27 + 4*t^4.37 + 5*t^4.47 + 3*t^4.58 + 2*t^5.14 + 4*t^5.24 + 5*t^5.34 + 3*t^5.44 + 2*t^5.8 + 3*t^5.9 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 1801 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6449 | 0.848 | 0.7605 | [X:[], M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]] | 2*t^2.21 + 2*t^2.27 + t^2.3 + t^2.95 + t^3.05 + 2*t^3.14 + t^3.63 + t^4.31 + t^4.38 + 3*t^4.41 + t^4.45 + 4*t^4.48 + 2*t^4.51 + 3*t^4.54 + 2*t^4.57 + t^4.6 + 2*t^5.16 + 2*t^5.22 + 3*t^5.25 + 2*t^5.32 + 4*t^5.35 + 3*t^5.42 + 2*t^5.45 + 2*t^5.84 + 2*t^5.9 - 3*t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6081 | 0.7817 | 0.778 | [X:[], M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.2 + t^2.26 + t^2.93 + t^3.07 + 2*t^3.2 + t^3.6 + t^3.66 + t^3.74 + t^4.28 + t^4.33 + t^4.39 + 3*t^4.41 + 2*t^4.47 + t^4.52 + 2*t^5.14 + t^5.2 + 2*t^5.27 + t^5.33 + 3*t^5.41 + t^5.46 + 2*t^5.81 + 3*t^5.87 + t^5.92 + t^5.94 - 2*t^6. - t^4.53/y - t^4.53*y | detail |