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 |
|---|---|---|---|---|---|---|---|---|---|
| 1907 | 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_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6468 | 0.851 | 0.76 | [X:[], M:[0.9767, 1.07, 0.9767, 0.7324, 0.7559, 0.7791], q:[0.7442, 0.2792], qb:[0.4768, 0.4533], phi:[0.5117]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [7, -5], [-13, -1]], 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}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_6$, $ M_3M_6$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_2$ | . | -4 | 2*t^2.2 + 2*t^2.27 + t^2.34 + 2*t^2.93 + 2*t^3.21 + t^3.59 + t^4.25 + t^4.33 + 3*t^4.39 + t^4.4 + 4*t^4.47 + 2*t^4.53 + 3*t^4.54 + 2*t^4.6 + t^4.67 + 4*t^5.13 + 4*t^5.2 + 2*t^5.27 + 3*t^5.41 + 3*t^5.48 + 2*t^5.55 + 2*t^5.79 + 4*t^5.86 - 4*t^6. - t^6.07 + 2*t^6.14 + 3*t^6.42 + 2*t^6.45 + 4*t^6.52 + 7*t^6.59 + 7*t^6.66 + 8*t^6.73 + 8*t^6.8 + 3*t^6.87 + t^6.94 + 2*t^7.18 + t^7.26 + 5*t^7.32 + t^7.33 + 5*t^7.4 + 4*t^7.46 + 5*t^7.47 + 2*t^7.53 + 6*t^7.6 + 4*t^7.67 + 3*t^7.74 + 4*t^7.75 + 3*t^7.81 + t^7.85 + 2*t^7.88 + 3*t^7.99 + 5*t^8.06 + 4*t^8.13 - 6*t^8.2 - 10*t^8.27 - 4*t^8.34 + t^8.41 + 2*t^8.48 + t^8.51 + t^8.58 + 4*t^8.62 + 4*t^8.65 + 4*t^8.69 + 8*t^8.72 + 3*t^8.76 + 16*t^8.79 + 9*t^8.86 + 4*t^8.93 - t^4.53/y - t^6.73/y - t^6.8/y - t^6.87/y + t^7.33/y + t^7.39/y + (3*t^7.47)/y + (2*t^7.53)/y + t^7.54/y + (3*t^7.6)/y - t^7.74/y + (4*t^8.13)/y + (5*t^8.2)/y + (3*t^8.27)/y + t^8.34/y + (4*t^8.41)/y + (4*t^8.48)/y + (2*t^8.55)/y + (2*t^8.79)/y + (3*t^8.86)/y - t^4.53*y - t^6.73*y - t^6.8*y - t^6.87*y + t^7.33*y + t^7.39*y + 3*t^7.47*y + 2*t^7.53*y + t^7.54*y + 3*t^7.6*y - t^7.74*y + 4*t^8.13*y + 5*t^8.2*y + 3*t^8.27*y + t^8.34*y + 4*t^8.41*y + 4*t^8.48*y + 2*t^8.55*y + 2*t^8.79*y + 3*t^8.86*y | (2*g2^7*t^2.2)/g1^5 + (2*g1^7*t^2.27)/g2^5 + t^2.34/(g1^13*g2) + 2*g1^4*g2^4*t^2.93 + (2*t^3.21)/(g1^12*g2^12) + g1*g2^13*t^3.59 + (g2^22*t^4.25)/g1^2 + g1^10*g2^10*t^4.33 + (3*g2^14*t^4.39)/g1^10 + (g1^22*t^4.4)/g2^2 + 4*g1^2*g2^2*t^4.47 + (2*g2^6*t^4.53)/g1^18 + (3*g1^14*t^4.54)/g2^10 + (2*t^4.6)/(g1^6*g2^6) + t^4.67/(g1^26*g2^2) + (4*g2^11*t^5.13)/g1 + (4*g1^11*t^5.2)/g2 + (2*g2^3*t^5.27)/g1^9 + (3*t^5.41)/(g1^17*g2^5) + (3*t^5.48)/(g1^5*g2^17) + (2*t^5.55)/(g1^25*g2^13) + (2*g2^20*t^5.79)/g1^4 + 4*g1^8*g2^8*t^5.86 - 4*t^6. - (g1^12*t^6.07)/g2^12 + (2*t^6.14)/(g1^8*g2^8) + (3*t^6.42)/(g1^24*g2^24) + (2*g2^29*t^6.45)/g1^7 + 4*g1^5*g2^17*t^6.52 + 2*g1^17*g2^5*t^6.59 + (5*g2^21*t^6.59)/g1^15 + (2*g1^29*t^6.66)/g2^7 + (5*g2^9*t^6.66)/g1^3 + (5*g1^9*t^6.73)/g2^3 + (3*g2^13*t^6.73)/g1^23 + (4*g1^21*t^6.8)/g2^15 + (4*g2*t^6.8)/g1^11 + (g1*t^6.87)/g2^11 + (2*g2^5*t^6.87)/g1^31 + t^6.94/(g1^19*g2^7) - t^7.01/(g1^7*g2^19) + t^7.01/(g1^39*g2^3) + 2*g1^2*g2^26*t^7.18 + g1^14*g2^14*t^7.26 + (5*g2^18*t^7.32)/g1^6 + g1^26*g2^2*t^7.33 + 5*g1^6*g2^6*t^7.4 + (4*g2^10*t^7.46)/g1^14 + (5*g1^18*t^7.47)/g2^6 + (2*t^7.53)/(g1^2*g2^2) + (6*g2^2*t^7.6)/g1^22 + (4*t^7.67)/(g1^10*g2^10) + (3*t^7.74)/(g1^30*g2^6) + (4*g1^2*t^7.75)/g2^22 + (3*t^7.81)/(g1^18*g2^18) + (g2^35*t^7.85)/g1 + (2*t^7.88)/(g1^38*g2^14) + (3*g2^27*t^7.99)/g1^9 + 5*g1^3*g2^15*t^8.06 + 4*g1^15*g2^3*t^8.13 - (6*g2^7*t^8.2)/g1^5 - (10*g1^7*t^8.27)/g2^5 - (2*g1^19*t^8.34)/g2^17 - (2*t^8.34)/(g1^13*g2) + t^8.41/(g1*g2^13) + (2*t^8.48)/(g1^21*g2^9) + (g2^44*t^8.51)/g1^4 + g1^8*g2^32*t^8.58 + (4*t^8.62)/(g1^29*g2^17) + g1^20*g2^20*t^8.65 + (3*g2^36*t^8.65)/g1^12 + (4*t^8.69)/(g1^17*g2^29) + g1^32*g2^8*t^8.72 + 7*g2^24*t^8.72 + (3*t^8.76)/(g1^37*g2^25) + (g1^44*t^8.79)/g2^4 + 8*g1^12*g2^12*t^8.79 + (7*g2^28*t^8.79)/g1^20 + 3*g1^24*t^8.86 + (6*g2^16*t^8.86)/g1^8 + (3*g1^36*t^8.93)/g2^12 - 4*g1^4*g2^4*t^8.93 + (5*g2^20*t^8.93)/g1^28 - t^4.53/(g1^2*g2^2*y) - (g2^5*t^6.73)/(g1^7*y) - (g1^5*t^6.8)/(g2^7*y) - t^6.87/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.33)/y + (g2^14*t^7.39)/(g1^10*y) + (3*g1^2*g2^2*t^7.47)/y + (2*g2^6*t^7.53)/(g1^18*y) + (g1^14*t^7.54)/(g2^10*y) + (3*t^7.6)/(g1^6*g2^6*y) - t^7.74/(g1^14*g2^14*y) + (4*g2^11*t^8.13)/(g1*y) + (5*g1^11*t^8.2)/(g2*y) + (3*g2^3*t^8.27)/(g1^9*y) + (g1^3*t^8.34)/(g2^9*y) + (4*t^8.41)/(g1^17*g2^5*y) + (4*t^8.48)/(g1^5*g2^17*y) + (2*t^8.55)/(g1^25*g2^13*y) + (2*g2^20*t^8.79)/(g1^4*y) + (3*g1^8*g2^8*t^8.86)/y - (t^4.53*y)/(g1^2*g2^2) - (g2^5*t^6.73*y)/g1^7 - (g1^5*t^6.8*y)/g2^7 - (t^6.87*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.33*y + (g2^14*t^7.39*y)/g1^10 + 3*g1^2*g2^2*t^7.47*y + (2*g2^6*t^7.53*y)/g1^18 + (g1^14*t^7.54*y)/g2^10 + (3*t^7.6*y)/(g1^6*g2^6) - (t^7.74*y)/(g1^14*g2^14) + (4*g2^11*t^8.13*y)/g1 + (5*g1^11*t^8.2*y)/g2 + (3*g2^3*t^8.27*y)/g1^9 + (g1^3*t^8.34*y)/g2^9 + (4*t^8.41*y)/(g1^17*g2^5) + (4*t^8.48*y)/(g1^5*g2^17) + (2*t^8.55*y)/(g1^25*g2^13) + (2*g2^20*t^8.79*y)/g1^4 + 3*g1^8*g2^8*t^8.86*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2937 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6409 | 0.8448 | 0.7587 | [X:[], M:[0.9475, 1.1574, 0.9475, 0.7377, 0.7361, 0.8426], q:[0.7369, 0.3156], qb:[0.4205, 0.4221], phi:[0.5262]] | 4*t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^4.1 + 2*t^4.11 + 7*t^4.42 + 3*t^4.43 + 4*t^4.74 + 4*t^5.05 + 5*t^5.06 + 2*t^5.37 + 3*t^5.68 + 9*t^5.69 - 3*t^6. - t^4.58/y - t^4.58*y | detail | |
| 2938 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6639 | 0.8812 | 0.7534 | [X:[], M:[0.9843, 1.0472, 0.9843, 0.7461, 0.7461, 0.7775, 0.7775], q:[0.7461, 0.2697], qb:[0.4764, 0.4764], phi:[0.5079]] | 4*t^2.24 + 2*t^2.33 + 2*t^2.95 + 2*t^3.14 + 3*t^4.38 + 10*t^4.48 + 8*t^4.57 + 3*t^4.67 + 8*t^5.19 + 4*t^5.29 + 6*t^5.38 + 4*t^5.47 + 2*t^5.91 - 6*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 |
|---|---|---|---|---|---|---|---|---|---|
| 548 | 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_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6298 | 0.8212 | 0.7669 | [X:[], M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | 4*t^2.23 + 2*t^2.91 + 2*t^3.28 + 2*t^3.59 + 3*t^4.26 + 10*t^4.45 + 8*t^5.13 + 6*t^5.51 + 10*t^5.81 - 6*t^6. - t^4.55/y - t^4.55*y | detail |