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 |
---|---|---|---|---|---|---|---|---|---|
1432 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_3M_6$ | 0.7079 | 0.871 | 0.8128 | [X:[], M:[1.0434, 0.8699, 1.0434, 0.8699, 1.0, 0.9566], q:[0.4566, 0.5], qb:[0.5, 0.6301], phi:[0.4783]] | [X:[], M:[[2], [-6], [2], [-6], [0], [-2]], q:[[-2], [0]], qb:[[0], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ 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$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_2M_3$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_2$ | $M_3\phi_1^2$ | -3 | 2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.17 + 2*t^4.3 + 3*t^4.43 + t^4.7 + 2*t^4.83 + 4*t^5.22 + 3*t^5.48 + 5*t^5.74 + 2*t^5.87 - 3*t^6. + t^6.13 + t^6.26 - t^6.39 + 2*t^6.78 + 3*t^6.91 + 6*t^7.04 + 4*t^7.17 + 6*t^7.3 + 3*t^7.43 + 3*t^7.7 + 4*t^7.83 + 6*t^8.09 + 8*t^8.35 + 2*t^8.48 + 3*t^8.74 - t^8.87 - t^4.43/y - (2*t^7.04)/y + (2*t^7.83)/y + t^8.22/y + (4*t^8.48)/y + (2*t^8.61)/y + (3*t^8.74)/y + (4*t^8.87)/y - t^4.43*y - 2*t^7.04*y + 2*t^7.83*y + t^8.22*y + 4*t^8.48*y + 2*t^8.61*y + 3*t^8.74*y + 4*t^8.87*y | (2*t^2.61)/g1^6 + (2*t^2.87)/g1^2 + t^3. + g1^2*t^3.13 + g1^4*t^3.26 + t^4.17/g1^5 + (2*t^4.3)/g1^3 + (3*t^4.43)/g1 + g1^3*t^4.7 + 2*g1^5*t^4.83 + (3*t^5.22)/g1^12 + g1^11*t^5.22 + (3*t^5.48)/g1^8 + (5*t^5.74)/g1^4 + (2*t^5.87)/g1^2 - 3*t^6. + g1^2*t^6.13 + g1^4*t^6.26 - g1^6*t^6.39 + (2*t^6.78)/g1^11 + (3*t^6.91)/g1^9 + (6*t^7.04)/g1^7 + (4*t^7.17)/g1^5 + (6*t^7.3)/g1^3 + (3*t^7.43)/g1 + 3*g1^3*t^7.7 + (4*t^7.83)/g1^18 + (4*t^8.09)/g1^14 + 2*g1^9*t^8.09 + (8*t^8.35)/g1^10 + t^8.48/g1^8 + g1^15*t^8.48 + (3*t^8.74)/g1^4 - t^8.87/g1^2 - t^4.43/(g1*y) - (2*t^7.04)/(g1^7*y) + (2*g1^5*t^7.83)/y + t^8.22/(g1^12*y) + (4*t^8.48)/(g1^8*y) + (2*t^8.61)/(g1^6*y) + (3*t^8.74)/(g1^4*y) + (4*t^8.87)/(g1^2*y) - (t^4.43*y)/g1 - (2*t^7.04*y)/g1^7 + 2*g1^5*t^7.83*y + (t^8.22*y)/g1^12 + (4*t^8.48*y)/g1^8 + (2*t^8.61*y)/g1^6 + (3*t^8.74*y)/g1^4 + (4*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
2496 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_3M_6$ + $ M_3M_7$ | 0.7122 | 0.8791 | 0.8102 | [X:[], M:[1.0486, 0.8542, 1.0486, 0.8542, 1.0, 0.9514, 0.9514], q:[0.4514, 0.5], qb:[0.5, 0.6458], phi:[0.4757]] | 2*t^2.56 + 3*t^2.85 + t^3. + t^3.29 + t^4.14 + 2*t^4.28 + 3*t^4.43 + t^4.72 + 2*t^4.86 + 3*t^5.13 + t^5.3 + 5*t^5.42 + 6*t^5.71 + 3*t^5.85 - 5*t^6. - t^4.43/y - t^4.43*y | detail | |
2497 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_3M_6$ + $ M_6M_7$ | 0.7041 | 0.864 | 0.815 | [X:[], M:[1.0381, 0.8856, 1.0381, 0.8856, 1.0, 0.9619, 1.0381], q:[0.4619, 0.5], qb:[0.5, 0.6144], phi:[0.4809]] | 2*t^2.66 + t^2.89 + t^3. + 2*t^3.11 + t^3.23 + t^4.21 + 2*t^4.33 + 3*t^4.44 + t^4.67 + 2*t^4.79 + t^5.13 + 3*t^5.31 + t^5.54 + 5*t^5.77 + t^5.89 - 3*t^6. - t^4.44/y - t^4.44*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 |
---|---|---|---|---|---|---|---|---|---|
934 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |