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 |
|---|---|---|---|---|---|---|---|---|---|
| 1329 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_7$, $ M_5$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_7$, $ M_1M_5$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_1M_2$, $ M_3M_4$, $ M_3M_7$, $ M_2M_4$, $ M_2M_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 | g1^8*t^2.68 + (2*t^2.88)/g2^8 + g1^4*g2^4*t^2.9 + t^3.1/(g1^4*g2^4) + (g2^2*t^3.11)/g1^2 + (g2^12*t^3.34)/g1^4 + (g1^9*t^4.13)/g2 + (g1*t^4.33)/g2^9 + g1^5*g2^3*t^4.35 + t^4.52/(g1^7*g2^17) + t^4.54/(g1^3*g2^5) + 2*g1*g2^7*t^4.56 + t^4.76/(g1^7*g2) + (g2^11*t^4.78)/g1^3 + (g2^15*t^5.)/g1^7 + g1^16*t^5.37 + (g1^8*t^5.56)/g2^8 + g1^12*g2^4*t^5.58 + (2*t^5.76)/g2^16 + (g1^4*t^5.78)/g2^4 + g1^6*g2^2*t^5.79 + t^5.98/(g1^4*g2^12) + (2*t^5.99)/(g1^2*g2^6) - 3*t^6. + g1^2*g2^6*t^6.01 + t^6.21/(g1^6*g2^2) + (g2^14*t^6.45)/g1^6 + (g2^24*t^6.67)/g1^8 + (g1^17*t^6.81)/g2 + (2*g1^9*t^7.01)/g2^9 + 2*g1^13*g2^3*t^7.03 + (2*g1*t^7.21)/g2^17 + (2*g1^5*t^7.23)/g2^5 + 2*g1^9*g2^7*t^7.25 + (2*t^7.4)/(g1^7*g2^25) + (2*t^7.42)/(g1^3*g2^13) + (2*g1*t^7.45)/g2 + 2*g1^5*g2^11*t^7.47 + t^7.62/(g1^11*g2^21) + t^7.64/(g1^7*g2^9) + (g2^3*t^7.66)/g1^3 + g1*g2^15*t^7.68 + t^7.86/(g1^11*g2^5) + (g2^7*t^7.88)/g1^7 + (2*g2^19*t^7.9)/g1^3 + g1^24*t^8.05 + (g2^11*t^8.1)/g1^11 + (g2^23*t^8.12)/g1^7 + (g1^16*t^8.25)/g2^8 + (g1^18*t^8.26)/g2^2 + g1^20*g2^4*t^8.27 + (g2^27*t^8.34)/g1^11 + (g1^8*t^8.44)/g2^16 + (g1^10*t^8.45)/g2^10 + 2*g1^14*g2^2*t^8.48 + (2*t^8.64)/g2^24 + (g1^2*t^8.65)/g2^18 + (2*g1^6*t^8.67)/g2^6 - 4*g1^8*t^8.68 + 3*g1^10*g2^6*t^8.69 + t^8.85/(g1^6*g2^26) + (3*t^8.87)/(g1^2*g2^14) - (6*t^8.88)/g2^8 + (3*g1^2*t^8.89)/g2^2 - 5*g1^4*g2^4*t^8.9 + 2*g1^6*g2^10*t^8.91 - (g1*t^4.45)/(g2*y) - (g1^9*t^7.13)/(g2*y) - (g1*t^7.33)/(g2^9*y) + (g1*g2^7*t^7.56)/y + t^7.76/(g1^7*g2*y) + (2*g1^8*t^8.56)/(g2^8*y) + (g1^12*g2^4*t^8.58)/y + t^8.76/(g2^16*y) + (3*g1^4*t^8.78)/(g2^4*y) + (g1^6*g2^2*t^8.79)/y + (2*t^8.98)/(g1^4*g2^12*y) + (2*t^8.99)/(g1^2*g2^6*y) - (g1*t^4.45*y)/g2 - (g1^9*t^7.13*y)/g2 - (g1*t^7.33*y)/g2^9 + g1*g2^7*t^7.56*y + (t^7.76*y)/(g1^7*g2) + (2*g1^8*t^8.56*y)/g2^8 + g1^12*g2^4*t^8.58*y + (t^8.76*y)/g2^16 + (3*g1^4*t^8.78*y)/g2^4 + g1^6*g2^2*t^8.79*y + (2*t^8.98*y)/(g1^4*g2^12) + (2*t^8.99*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2385 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 2386 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ | 0.6693 | 0.8286 | 0.8077 | [X:[], M:[0.763, 1.0983, 1.0405, 0.8439, 0.9595, 1.1561, 0.8439], q:[0.7746, 0.4624], qb:[0.3815, 0.578], 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 | |
| 2397 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ | 0.6399 | 0.7972 | 0.8027 | [X:[], M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.81 + t^3.1 + 2*t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + t^4.83 + t^5.03 + t^5.23 + t^5.32 + t^5.52 + t^5.6 + t^5.63 + t^5.8 + t^5.89 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |