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 |
|---|---|---|---|---|---|---|---|---|---|
| 53794 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[1.0398, 1.0329, 0.9602, 0.8944, 0.9671, 0.9602, 1.0363], q:[0.4472, 0.513], qb:[0.5199, 0.5926], phi:[0.4818]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-8, 0], [-2, 2]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_6$, $ M_5$, $ M_2$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4M_6$, $ M_4M_5$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ M_4M_7$, $ M_2M_3$, $ M_2M_6$, $ M_3M_7$, $ M_6M_7$ | . | -3 | t^2.68 + 2*t^2.88 + t^2.9 + t^3.1 + t^3.11 + t^3.34 + t^4.13 + t^4.33 + t^4.35 + t^4.52 + t^4.54 + 2*t^4.56 + t^4.76 + t^4.78 + t^5. + t^5.37 + t^5.56 + t^5.58 + 2*t^5.76 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - 3*t^6. + t^6.01 + t^6.21 + t^6.45 + t^6.67 + t^6.81 + 2*t^7.01 + 2*t^7.03 + 2*t^7.21 + 2*t^7.23 + 2*t^7.25 + 2*t^7.4 + 2*t^7.42 + 2*t^7.45 + 2*t^7.47 + t^7.62 + t^7.64 + t^7.66 + t^7.68 + t^7.86 + t^7.88 + 2*t^7.9 + t^8.05 + t^8.1 + t^8.12 + t^8.25 + t^8.26 + t^8.27 + t^8.34 + t^8.44 + t^8.45 + 2*t^8.48 + 2*t^8.64 + t^8.65 + 2*t^8.67 - 4*t^8.68 + 3*t^8.69 + t^8.85 + 3*t^8.87 - 6*t^8.88 + 3*t^8.89 - 5*t^8.9 + 2*t^8.91 - t^4.45/y - t^7.13/y - t^7.33/y + t^7.56/y + t^7.76/y + (2*t^8.56)/y + t^8.58/y + t^8.76/y + (3*t^8.78)/y + t^8.79/y + (2*t^8.98)/y + (2*t^8.99)/y - t^4.45*y - t^7.13*y - t^7.33*y + t^7.56*y + t^7.76*y + 2*t^8.56*y + t^8.58*y + t^8.76*y + 3*t^8.78*y + t^8.79*y + 2*t^8.98*y + 2*t^8.99*y | (g1^16*t^2.68)/g2^8 + (2*t^2.88)/g1^8 + (g1^12*t^2.9)/g2^4 + (g2^4*t^3.1)/g1^12 + (g2^2*t^3.11)/g1^2 + g1^4*g2^4*t^3.34 + (g1^17*t^4.13)/g2^9 + t^4.33/(g1^7*g2) + (g1^13*t^4.35)/g2^5 + (g2^7*t^4.52)/g1^31 + (g2^3*t^4.54)/g1^11 + (2*g1^9*t^4.56)/g2 + (g2^7*t^4.76)/g1^15 + g1^5*g2^3*t^4.78 + g1*g2^7*t^5. + (g1^32*t^5.37)/g2^16 + (g1^8*t^5.56)/g2^8 + (g1^28*t^5.58)/g2^12 + (2*t^5.76)/g1^16 + (g1^4*t^5.78)/g2^4 + (g1^14*t^5.79)/g2^6 + (g2^4*t^5.98)/g1^20 + (2*g2^2*t^5.99)/g1^10 - 3*t^6. + (g1^10*t^6.01)/g2^2 + (g2^6*t^6.21)/g1^14 + g1^2*g2^6*t^6.45 + g1^8*g2^8*t^6.67 + (g1^33*t^6.81)/g2^17 + (2*g1^9*t^7.01)/g2^9 + (2*g1^29*t^7.03)/g2^13 + (2*t^7.21)/(g1^15*g2) + (2*g1^5*t^7.23)/g2^5 + (2*g1^25*t^7.25)/g2^9 + (2*g2^7*t^7.4)/g1^39 + (2*g2^3*t^7.42)/g1^19 + (2*g1*t^7.45)/g2 + (2*g1^21*t^7.47)/g2^5 + (g2^11*t^7.62)/g1^43 + (g2^7*t^7.64)/g1^23 + (g2^3*t^7.66)/g1^3 + (g1^17*t^7.68)/g2 + (g2^11*t^7.86)/g1^27 + (g2^7*t^7.88)/g1^7 + 2*g1^13*g2^3*t^7.9 + (g1^48*t^8.05)/g2^24 + (g2^11*t^8.1)/g1^11 + g1^9*g2^7*t^8.12 + (g1^24*t^8.25)/g2^16 + (g1^34*t^8.26)/g2^18 + (g1^44*t^8.27)/g2^20 + g1^5*g2^11*t^8.34 + t^8.44/g2^8 + (g1^10*t^8.45)/g2^10 + (2*g1^30*t^8.48)/g2^14 + (2*t^8.64)/g1^24 + t^8.65/(g1^14*g2^2) + (2*g1^6*t^8.67)/g2^6 - (4*g1^16*t^8.68)/g2^8 + (3*g1^26*t^8.69)/g2^10 + (g2^6*t^8.85)/g1^38 + (3*g2^2*t^8.87)/g1^18 - (6*t^8.88)/g1^8 + (3*g1^2*t^8.89)/g2^2 - (5*g1^12*t^8.9)/g2^4 + (2*g1^22*t^8.91)/g2^6 - (g1*t^4.45)/(g2*y) - (g1^17*t^7.13)/(g2^9*y) - t^7.33/(g1^7*g2*y) + (g1^9*t^7.56)/(g2*y) + (g2^7*t^7.76)/(g1^15*y) + (2*g1^8*t^8.56)/(g2^8*y) + (g1^28*t^8.58)/(g2^12*y) + t^8.76/(g1^16*y) + (3*g1^4*t^8.78)/(g2^4*y) + (g1^14*t^8.79)/(g2^6*y) + (2*g2^4*t^8.98)/(g1^20*y) + (2*g2^2*t^8.99)/(g1^10*y) - (g1*t^4.45*y)/g2 - (g1^17*t^7.13*y)/g2^9 - (t^7.33*y)/(g1^7*g2) + (g1^9*t^7.56*y)/g2 + (g2^7*t^7.76*y)/g1^15 + (2*g1^8*t^8.56*y)/g2^8 + (g1^28*t^8.58*y)/g2^12 + (t^8.76*y)/g1^16 + (3*g1^4*t^8.78*y)/g2^4 + (g1^14*t^8.79*y)/g2^6 + (2*g2^4*t^8.98*y)/g1^20 + (2*g2^2*t^8.99*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56543 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ + $ M_2M_8$ | 0.7059 | 0.8668 | 0.8143 | [X:[], M:[1.0273, 1.0545, 0.9727, 0.8637, 0.9455, 0.9727, 1.0409, 0.9455], q:[0.4319, 0.5408], qb:[0.5137, 0.5955], phi:[0.4796]] | t^2.59 + 2*t^2.84 + 2*t^2.92 + t^3.12 + t^3.33 + t^4.03 + t^4.28 + t^4.36 + 2*t^4.52 + t^4.6 + t^4.68 + t^4.77 + t^4.85 + t^5.01 + t^5.18 + 2*t^5.43 + t^5.51 + 2*t^5.67 + t^5.71 + 2*t^5.75 + 2*t^5.84 + 2*t^5.96 - 4*t^6. - t^4.44/y - t^4.44*y | detail | |
| 56544 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ + $ M_8\tilde{q}_1\tilde{q}_2$ | 0.7145 | 0.883 | 0.8091 | [X:[], M:[1.0704, 1.031, 0.9296, 0.8676, 0.969, 0.9296, 1.0507, 0.8281], q:[0.4338, 0.4958], qb:[0.5352, 0.6366], phi:[0.4746]] | t^2.48 + t^2.6 + 2*t^2.79 + t^2.91 + t^3.09 + t^3.15 + t^4.03 + t^4.21 + t^4.33 + t^4.4 + t^4.52 + 2*t^4.64 + t^4.82 + t^4.94 + t^4.97 + t^5.09 + t^5.21 + t^5.24 + 2*t^5.27 + 2*t^5.39 + t^5.51 + 3*t^5.58 + t^5.64 + t^5.7 + t^5.75 + t^5.88 + 2*t^5.94 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 56541 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6693 | 0.8286 | 0.8077 | [X:[], M:[1.1561, 1.0405, 0.8439, 0.763, 0.9595, 0.8439, 1.0983], q:[0.3815, 0.4624], qb:[0.578, 0.7746], phi:[0.4509]] | t^2.29 + 2*t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.64 + t^3.88 + t^4.06 + t^4.13 + t^4.23 + t^4.47 + t^4.58 + 3*t^4.82 + 3*t^5.06 + t^5.17 + 2*t^5.41 + t^5.58 + t^5.65 + 2*t^5.83 + t^5.93 - 2*t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48187 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^4.44/y - t^4.44*y | detail |