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 |
|---|---|---|---|---|---|---|---|---|---|
| 4331 | 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ | 0.7015 | 0.8648 | 0.8111 | [X:[], M:[1.0697, 1.0174, 0.8955, 0.9303, 1.0348, 1.0, 0.9652, 0.9303], q:[0.5, 0.4303], qb:[0.5697, 0.5348], phi:[0.4913]] | [X:[], M:[[8], [2], [-12], [-8], [4], [0], [-4], [-8]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_8$, $ M_7$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_3M_8$, $ M_4^2$, $ M_3M_7$, $ M_4M_8$, $ M_8^2$, $ M_3M_6$, $ M_4M_7$, $ M_7M_8$, $ M_2M_3$, $ M_3M_5$, $ M_4M_6$, $ M_7^2$, $ M_6M_8$, $ M_2M_4$, $ M_2M_8$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ M_2M_7$ | . | -2 | t^2.69 + 2*t^2.79 + t^2.9 + t^3. + t^3.05 + t^3.1 + t^4.06 + t^4.26 + t^4.37 + 2*t^4.47 + t^4.58 + 2*t^4.68 + t^4.79 + t^4.89 + t^5.37 + 2*t^5.48 + 3*t^5.58 + 2*t^5.69 + t^5.74 + 2*t^5.79 + 2*t^5.84 + t^5.9 + t^5.95 - 2*t^6. + t^6.05 - t^6.1 + t^6.16 - t^6.21 - t^6.31 - t^6.42 + t^6.74 + 2*t^6.85 + 2*t^6.95 + 3*t^7.06 + 4*t^7.16 + 4*t^7.26 + 4*t^7.37 + 4*t^7.47 + 3*t^7.58 + 2*t^7.68 + t^7.79 + t^8.06 + t^8.11 + 2*t^8.16 + 3*t^8.27 + t^8.32 + 4*t^8.37 + 2*t^8.43 + 2*t^8.48 + 4*t^8.53 + t^8.58 + 4*t^8.63 - 2*t^8.69 + 5*t^8.74 - 6*t^8.79 + 4*t^8.84 - 6*t^8.9 + 5*t^8.95 - t^4.47/y - t^7.16/y - t^7.26/y + t^7.68/y + t^7.79/y + (2*t^8.48)/y + (2*t^8.58)/y + (3*t^8.69)/y + t^8.74/y + (3*t^8.79)/y + (2*t^8.84)/y + (3*t^8.9)/y + t^8.95/y - t^4.47*y - t^7.16*y - t^7.26*y + t^7.68*y + t^7.79*y + 2*t^8.48*y + 2*t^8.58*y + 3*t^8.69*y + t^8.74*y + 3*t^8.79*y + 2*t^8.84*y + 3*t^8.9*y + t^8.95*y | t^2.69/g1^12 + (2*t^2.79)/g1^8 + t^2.9/g1^4 + t^3. + g1^2*t^3.05 + g1^4*t^3.1 + t^4.06/g1^17 + t^4.26/g1^9 + t^4.37/g1^5 + (2*t^4.47)/g1 + g1^3*t^4.58 + 2*g1^7*t^4.68 + g1^11*t^4.79 + g1^15*t^4.89 + t^5.37/g1^24 + (2*t^5.48)/g1^20 + (3*t^5.58)/g1^16 + (2*t^5.69)/g1^12 + t^5.74/g1^10 + (2*t^5.79)/g1^8 + (2*t^5.84)/g1^6 + t^5.9/g1^4 + t^5.95/g1^2 - 2*t^6. + g1^2*t^6.05 - g1^4*t^6.1 + g1^6*t^6.16 - g1^8*t^6.21 - g1^12*t^6.31 - g1^16*t^6.42 + t^6.74/g1^29 + (2*t^6.85)/g1^25 + (2*t^6.95)/g1^21 + (3*t^7.06)/g1^17 + (4*t^7.16)/g1^13 + (4*t^7.26)/g1^9 + (4*t^7.37)/g1^5 + (4*t^7.47)/g1 + 3*g1^3*t^7.58 + 2*g1^7*t^7.68 + g1^11*t^7.79 + t^8.06/g1^36 + t^8.11/g1^34 + (2*t^8.16)/g1^32 + (3*t^8.27)/g1^28 + t^8.32/g1^26 + (4*t^8.37)/g1^24 + (2*t^8.43)/g1^22 + (2*t^8.48)/g1^20 + (4*t^8.53)/g1^18 + t^8.58/g1^16 + (4*t^8.63)/g1^14 - (2*t^8.69)/g1^12 + (5*t^8.74)/g1^10 - (6*t^8.79)/g1^8 + (4*t^8.84)/g1^6 - (6*t^8.9)/g1^4 + (5*t^8.95)/g1^2 - t^4.47/(g1*y) - t^7.16/(g1^13*y) - t^7.26/(g1^9*y) + (g1^7*t^7.68)/y + (g1^11*t^7.79)/y + (2*t^8.48)/(g1^20*y) + (2*t^8.58)/(g1^16*y) + (3*t^8.69)/(g1^12*y) + t^8.74/(g1^10*y) + (3*t^8.79)/(g1^8*y) + (2*t^8.84)/(g1^6*y) + (3*t^8.9)/(g1^4*y) + t^8.95/(g1^2*y) - (t^4.47*y)/g1 - (t^7.16*y)/g1^13 - (t^7.26*y)/g1^9 + g1^7*t^7.68*y + g1^11*t^7.79*y + (2*t^8.48*y)/g1^20 + (2*t^8.58*y)/g1^16 + (3*t^8.69*y)/g1^12 + (t^8.74*y)/g1^10 + (3*t^8.79*y)/g1^8 + (2*t^8.84*y)/g1^6 + (3*t^8.9*y)/g1^4 + (t^8.95*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5780 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ + $ M_5M_9$ | 0.705 | 0.8719 | 0.8086 | [X:[], M:[1.0803, 1.0201, 0.8796, 0.9197, 1.0401, 1.0, 0.9599, 0.9197, 0.9599], q:[0.5, 0.4197], qb:[0.5803, 0.5401], phi:[0.49]] | t^2.64 + 2*t^2.76 + 2*t^2.88 + t^3. + t^3.06 + t^3.99 + t^4.23 + t^4.35 + 2*t^4.47 + t^4.59 + 2*t^4.71 + t^4.83 + t^4.95 + t^5.28 + 2*t^5.4 + 4*t^5.52 + 4*t^5.64 + t^5.7 + 3*t^5.76 + 2*t^5.82 + 2*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 5779 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ + $ M_7M_9$ | 0.6985 | 0.8589 | 0.8133 | [X:[], M:[1.0588, 1.0147, 0.9118, 0.9412, 1.0294, 1.0, 0.9706, 0.9412, 1.0294], q:[0.5, 0.4412], qb:[0.5588, 0.5294], phi:[0.4926]] | t^2.74 + 2*t^2.82 + t^3. + t^3.04 + 2*t^3.09 + t^4.13 + t^4.3 + t^4.39 + 2*t^4.48 + t^4.57 + 2*t^4.65 + t^4.74 + t^4.83 + t^5.47 + 2*t^5.56 + 2*t^5.65 + t^5.78 + 2*t^5.82 + 2*t^5.87 + 2*t^5.91 - 3*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2343 | 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ | 0.7298 | 0.9024 | 0.8087 | [X:[], M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]] | t^2.36 + t^2.43 + t^2.5 + 2*t^2.93 + t^3. + t^3.29 + t^4.22 + t^4.29 + 2*t^4.36 + t^4.43 + t^4.5 + t^4.72 + t^4.79 + 3*t^4.86 + 2*t^4.93 + 2*t^5. + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.64 + t^5.71 + t^5.78 + 2*t^5.86 - 3*t^6. - t^4.36/y - t^4.36*y | detail |