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 |
|---|---|---|---|---|---|---|---|---|---|
| 2024 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6559 | 0.8685 | 0.7552 | [X:[], M:[0.9574, 1.1279, 0.9574, 0.8721, 0.7258, 0.7529, 0.811], q:[0.7393, 0.3033], qb:[0.4496, 0.4225], phi:[0.5213]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-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 |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_7$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_1M_7$, $ M_3M_7$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_6q_1\tilde{q}_2$, $ M_7\phi_1q_2^2$ | $M_4\phi_1q_2^2$ | -3 | 2*t^2.18 + 2*t^2.26 + t^2.43 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.49 + t^4.1 + t^4.18 + t^4.26 + 3*t^4.35 + 4*t^4.44 + 3*t^4.52 + 2*t^4.61 + 2*t^4.69 + 2*t^4.79 + t^4.87 + 2*t^4.88 + 5*t^5.05 + 4*t^5.13 + t^5.23 + 2*t^5.31 + 2*t^5.49 + t^5.56 + t^5.64 + 2*t^5.66 + 4*t^5.74 + t^5.82 - 3*t^6. - t^6.08 + t^6.1 + 2*t^6.28 + 4*t^6.36 + 2*t^6.44 + 2*t^6.52 + 5*t^6.53 + 5*t^6.61 + 5*t^6.69 + t^6.72 + t^6.77 + 4*t^6.78 + 3*t^6.79 + t^6.8 + 3*t^6.87 + t^6.88 + t^6.95 + 5*t^6.97 + 2*t^7.04 + 5*t^7.05 + t^7.12 + 4*t^7.13 - t^7.21 + 7*t^7.23 + t^7.3 + 7*t^7.31 + 5*t^7.39 + 2*t^7.41 + 4*t^7.48 + 2*t^7.49 + t^7.56 + t^7.58 - t^7.65 + 5*t^7.67 + 3*t^7.74 + 4*t^7.75 + 3*t^7.84 + t^7.85 + t^7.9 + 7*t^7.92 + t^7.99 + 4*t^8. + t^8.08 + 2*t^8.1 - 5*t^8.18 + t^8.2 + t^8.25 - 9*t^8.26 + 3*t^8.28 - 2*t^8.34 + 5*t^8.36 - 5*t^8.43 + t^8.44 + 3*t^8.45 - 3*t^8.51 + t^8.52 + 7*t^8.53 + 5*t^8.62 + 2*t^8.7 + 7*t^8.71 + t^8.72 + 3*t^8.78 + 6*t^8.79 - 4*t^8.87 + 2*t^8.89 + t^8.94 + 4*t^8.95 + 5*t^8.96 + 4*t^8.97 - t^4.56/y - t^6.74/y - t^6.82/y - t^7./y + t^7.35/y + (3*t^7.44)/y + t^7.52/y + (2*t^7.61)/y + (3*t^7.69)/y + (2*t^7.79)/y + (2*t^7.88)/y + (5*t^8.05)/y + (5*t^8.13)/y + (3*t^8.31)/y + t^8.39/y + (2*t^8.49)/y + (2*t^8.56)/y + (2*t^8.64)/y + (2*t^8.66)/y + (3*t^8.74)/y + t^8.82/y - t^4.56*y - t^6.74*y - t^6.82*y - t^7.*y + t^7.35*y + 3*t^7.44*y + t^7.52*y + 2*t^7.61*y + 3*t^7.69*y + 2*t^7.79*y + 2*t^7.88*y + 5*t^8.05*y + 5*t^8.13*y + 3*t^8.31*y + t^8.39*y + 2*t^8.49*y + 2*t^8.56*y + 2*t^8.64*y + 2*t^8.66*y + 3*t^8.74*y + t^8.82*y | (2*g2^7*t^2.18)/g1^5 + (2*g1^7*t^2.26)/g2^5 + t^2.43/(g1^13*g2) + g1^12*g2^12*t^2.62 + 2*g1^4*g2^4*t^2.87 + t^3.38/(g1^12*g2^12) + g1*g2^13*t^3.49 + (g2^22*t^4.1)/g1^2 + g1^10*g2^10*t^4.18 + (g1^22*t^4.26)/g2^2 + (3*g2^14*t^4.35)/g1^10 + 4*g1^2*g2^2*t^4.44 + (3*g1^14*t^4.52)/g2^10 + (2*g2^6*t^4.61)/g1^18 + (2*t^4.69)/(g1^6*g2^6) + 2*g1^7*g2^19*t^4.79 + t^4.87/(g1^26*g2^2) + 2*g1^19*g2^7*t^4.88 + (5*g2^11*t^5.05)/g1 + (4*g1^11*t^5.13)/g2 + g1^24*g2^24*t^5.23 + (2*g2^3*t^5.31)/g1^9 + 2*g1^16*g2^16*t^5.49 + t^5.56/(g1^17*g2^5) + t^5.64/(g1^5*g2^17) + (2*g2^20*t^5.66)/g1^4 + 4*g1^8*g2^8*t^5.74 + t^5.82/(g1^25*g2^13) - 3*t^6. - (g1^12*t^6.08)/g2^12 + g1^13*g2^25*t^6.1 + (2*g2^29*t^6.28)/g1^7 + 4*g1^5*g2^17*t^6.36 + 2*g1^17*g2^5*t^6.44 + (2*g1^29*t^6.52)/g2^7 + (5*g2^21*t^6.53)/g1^15 + (5*g2^9*t^6.61)/g1^3 + (5*g1^9*t^6.69)/g2^3 + g1^10*g2^34*t^6.72 + t^6.77/(g1^24*g2^24) + (4*g1^21*t^6.78)/g2^15 + (3*g2^13*t^6.79)/g1^23 + g1^22*g2^22*t^6.8 + (3*g2*t^6.87)/g1^11 + g1^34*g2^10*t^6.88 + (g1*t^6.95)/g2^11 + 5*g1^2*g2^26*t^6.97 + (2*g2^5*t^7.04)/g1^31 + 5*g1^14*g2^14*t^7.05 + t^7.12/(g1^19*g2^7) + 4*g1^26*g2^2*t^7.13 - t^7.21/(g1^7*g2^19) + (7*g2^18*t^7.23)/g1^6 + t^7.3/(g1^39*g2^3) + 7*g1^6*g2^6*t^7.31 + (5*g1^18*t^7.39)/g2^6 + 2*g1^19*g2^31*t^7.41 + (4*g2^10*t^7.48)/g1^14 + 2*g1^31*g2^19*t^7.49 + t^7.56/(g1^2*g2^2) + (g2^35*t^7.58)/g1 - (g1^10*t^7.65)/g2^14 + 5*g1^11*g2^23*t^7.67 + (3*g2^2*t^7.74)/g1^22 + 4*g1^23*g2^11*t^7.75 + (3*g2^27*t^7.84)/g1^9 + g1^36*g2^36*t^7.85 + (g1^2*t^7.9)/g2^22 + 7*g1^3*g2^15*t^7.92 + t^7.99/(g1^30*g2^6) + 4*g1^15*g2^3*t^8. + t^8.08/(g1^18*g2^18) + 2*g1^28*g2^28*t^8.1 - (5*g2^7*t^8.18)/g1^5 + (g2^44*t^8.2)/g1^4 + t^8.25/(g1^38*g2^14) - (9*g1^7*t^8.26)/g2^5 + 3*g1^8*g2^32*t^8.28 - (2*g1^19*t^8.34)/g2^17 + 5*g1^20*g2^20*t^8.36 - (5*t^8.43)/(g1^13*g2) + g1^32*g2^8*t^8.44 + (3*g2^36*t^8.45)/g1^12 - (3*t^8.51)/(g1*g2^13) + (g1^44*t^8.52)/g2^4 + 7*g2^24*t^8.53 + 5*g1^12*g2^12*t^8.62 + 2*g1^24*t^8.7 + (7*g2^28*t^8.71)/g1^20 + g1^25*g2^37*t^8.72 + (3*g1^36*t^8.78)/g2^12 + (6*g2^16*t^8.79)/g1^8 - 4*g1^4*g2^4*t^8.87 + 2*g1^5*g2^41*t^8.89 + t^8.94/(g1^29*g2^17) + (4*g1^16*t^8.95)/g2^8 + (5*g2^20*t^8.96)/g1^28 + 4*g1^17*g2^29*t^8.97 - t^4.56/(g1^2*g2^2*y) - (g2^5*t^6.74)/(g1^7*y) - (g1^5*t^6.82)/(g2^7*y) - t^7./(g1^15*g2^3*y) + (g2^14*t^7.35)/(g1^10*y) + (3*g1^2*g2^2*t^7.44)/y + (g1^14*t^7.52)/(g2^10*y) + (2*g2^6*t^7.61)/(g1^18*y) + (3*t^7.69)/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.79)/y + (2*g1^19*g2^7*t^7.88)/y + (5*g2^11*t^8.05)/(g1*y) + (5*g1^11*t^8.13)/(g2*y) + (3*g2^3*t^8.31)/(g1^9*y) + (g1^3*t^8.39)/(g2^9*y) + (2*g1^16*g2^16*t^8.49)/y + (2*t^8.56)/(g1^17*g2^5*y) + (2*t^8.64)/(g1^5*g2^17*y) + (2*g2^20*t^8.66)/(g1^4*y) + (3*g1^8*g2^8*t^8.74)/y + t^8.82/(g1^25*g2^13*y) - (t^4.56*y)/(g1^2*g2^2) - (g2^5*t^6.74*y)/g1^7 - (g1^5*t^6.82*y)/g2^7 - (t^7.*y)/(g1^15*g2^3) + (g2^14*t^7.35*y)/g1^10 + 3*g1^2*g2^2*t^7.44*y + (g1^14*t^7.52*y)/g2^10 + (2*g2^6*t^7.61*y)/g1^18 + (3*t^7.69*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.79*y + 2*g1^19*g2^7*t^7.88*y + (5*g2^11*t^8.05*y)/g1 + (5*g1^11*t^8.13*y)/g2 + (3*g2^3*t^8.31*y)/g1^9 + (g1^3*t^8.39*y)/g2^9 + 2*g1^16*g2^16*t^8.49*y + (2*t^8.56*y)/(g1^17*g2^5) + (2*t^8.64*y)/(g1^5*g2^17) + (2*g2^20*t^8.66*y)/g1^4 + 3*g1^8*g2^8*t^8.74*y + (t^8.82*y)/(g1^25*g2^13) |
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 |
|---|---|---|---|---|---|---|---|---|
| 3088 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_4M_5$ | 0.5814 | 0.7689 | 0.7561 | [X:[], M:[1.0507, 0.8479, 1.0507, 1.1521, 0.8479, 0.6775, 0.7465], q:[0.7627, 0.1866], qb:[0.4908, 0.6613], phi:[0.4746]] | 2*t^2.03 + t^2.24 + 3*t^2.54 + 2*t^3.15 + t^3.46 + 3*t^4.06 + 3*t^4.27 + t^4.37 + t^4.48 + 5*t^4.58 + 3*t^4.78 + t^4.88 + 5*t^5.09 + 4*t^5.18 + 3*t^5.39 + t^5.49 + 5*t^5.7 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 3089 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6548 | 0.8694 | 0.7531 | [X:[], M:[0.9458, 1.1627, 0.9458, 0.8373, 0.7289, 0.744, 0.8373], q:[0.7364, 0.3178], qb:[0.4262, 0.4111], phi:[0.5271]] | 2*t^2.19 + 2*t^2.23 + 2*t^2.51 + 2*t^2.84 + t^3.44 + t^3.49 + t^4.05 + t^4.09 + t^4.14 + 3*t^4.37 + 4*t^4.42 + 3*t^4.46 + 4*t^4.7 + 4*t^4.74 + 7*t^5.02 + 4*t^5.07 + 4*t^5.35 + 2*t^5.63 + 5*t^5.67 + t^5.72 + t^5.95 - 2*t^6. - t^4.58/y - t^4.58*y | detail | |
| 3090 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6708 | 0.8928 | 0.7514 | [X:[], M:[0.9658, 1.1027, 0.9658, 0.8973, 0.7414, 0.7414, 0.8099, 0.8099], q:[0.7414, 0.2928], qb:[0.4486, 0.4486], phi:[0.5171]] | 4*t^2.22 + 2*t^2.43 + t^2.69 + 2*t^2.9 + t^3.31 + 3*t^4.24 + 10*t^4.45 + 8*t^4.65 + 3*t^4.86 + 4*t^4.92 + 10*t^5.12 + 4*t^5.33 + t^5.38 + 2*t^5.53 + 2*t^5.59 + 2*t^5.74 + 2*t^5.79 - 5*t^6. - t^4.55/y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 856 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. - t^4.58/y - t^4.58*y | detail |