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 |
---|---|---|---|---|---|---|---|---|---|
3203 | 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_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6634 | 0.8409 | 0.789 | [X:[], M:[1.1967, 0.7311, 0.8033, 1.1246, 0.8754, 1.1246, 0.7148], q:[0.4377, 0.3656], qb:[0.759, 0.5099], phi:[0.482]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-14], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_7$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4M_7$, $ M_6M_7$, $ M_2M_4$, $ M_2M_6$, $ q_1^2\tilde{q}_2^2$, $ M_1M_7$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_7\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | . | -2 | t^2.14 + t^2.19 + t^2.41 + t^2.84 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.64 + 2*t^4.07 + 2*t^4.29 + t^4.34 + t^4.39 + t^4.51 + t^4.55 + t^4.6 + t^4.82 + t^4.99 + 2*t^5.04 + t^5.09 + t^5.25 + t^5.3 + 2*t^5.52 + t^5.57 + t^5.69 + 2*t^5.73 + 3*t^5.78 + t^5.83 - 2*t^6. + t^6.05 + t^6.22 + 3*t^6.27 + 2*t^6.43 + 4*t^6.48 + 2*t^6.53 + t^6.58 + t^6.65 + t^6.7 + 2*t^6.75 + t^6.8 + 2*t^6.91 + 3*t^6.96 + 2*t^7.01 + 2*t^7.13 + t^7.18 + t^7.23 + 2*t^7.28 + t^7.35 + t^7.4 + 2*t^7.45 + t^7.49 - t^7.61 + 3*t^7.66 + 3*t^7.71 + t^7.76 + t^7.83 + 3*t^7.88 + 3*t^7.93 + 2*t^7.98 + t^8.03 + t^8.1 + t^8.24 + t^8.36 - t^8.41 + 3*t^8.46 + t^8.53 + 5*t^8.58 + 2*t^8.63 + 5*t^8.68 + 2*t^8.72 + t^8.77 + 2*t^8.79 - 2*t^8.84 + t^8.89 + 2*t^8.94 + t^8.99 - t^4.45/y - t^6.59/y - t^6.64/y + t^7.07/y + (2*t^7.55)/y + t^7.6/y - t^7.82/y + t^7.99/y + (2*t^8.04)/y + t^8.09/y + (2*t^8.25)/y + (2*t^8.3)/y + (2*t^8.52)/y + (2*t^8.57)/y + t^8.73/y + (3*t^8.78)/y - t^4.45*y - t^6.59*y - t^6.64*y + t^7.07*y + 2*t^7.55*y + t^7.6*y - t^7.82*y + t^7.99*y + 2*t^8.04*y + t^8.09*y + 2*t^8.25*y + 2*t^8.3*y + 2*t^8.52*y + 2*t^8.57*y + t^8.73*y + 3*t^8.78*y | g1^16*t^2.14 + t^2.19/g1^34 + t^2.41/g1^10 + g1^38*t^2.84 + t^2.89/g1^12 + (2*t^3.37)/g1^14 + g1^10*t^3.59 + t^3.64/g1^40 + 2*g1^8*t^4.07 + 2*g1^32*t^4.29 + t^4.34/g1^18 + t^4.39/g1^68 + g1^56*t^4.51 + g1^6*t^4.55 + t^4.6/g1^44 + t^4.82/g1^20 + g1^54*t^4.99 + 2*g1^4*t^5.04 + t^5.09/g1^46 + g1^28*t^5.25 + t^5.3/g1^22 + 2*g1^2*t^5.52 + t^5.57/g1^48 + g1^76*t^5.69 + 2*g1^26*t^5.73 + (3*t^5.78)/g1^24 + t^5.83/g1^74 - 2*t^6. + t^6.05/g1^50 + g1^24*t^6.22 + (3*t^6.27)/g1^26 + 2*g1^48*t^6.43 + (4*t^6.48)/g1^2 + (2*t^6.53)/g1^52 + t^6.58/g1^102 + g1^72*t^6.65 + g1^22*t^6.7 + (2*t^6.75)/g1^28 + t^6.8/g1^78 + 2*g1^46*t^6.91 + (3*t^6.96)/g1^4 + (2*t^7.01)/g1^54 + 2*g1^70*t^7.13 + g1^20*t^7.18 + t^7.23/g1^30 + (2*t^7.28)/g1^80 + g1^94*t^7.35 + g1^44*t^7.4 + (2*t^7.45)/g1^6 + t^7.49/g1^56 - g1^68*t^7.61 + 3*g1^18*t^7.66 + (3*t^7.71)/g1^32 + t^7.76/g1^82 + g1^92*t^7.83 + 3*g1^42*t^7.88 + (3*t^7.93)/g1^8 + (2*t^7.98)/g1^58 + t^8.03/g1^108 + g1^66*t^8.1 + t^8.24/g1^84 + g1^40*t^8.36 - t^8.41/g1^10 + (3*t^8.46)/g1^60 + g1^114*t^8.53 + 5*g1^64*t^8.58 + 2*g1^14*t^8.63 + (5*t^8.68)/g1^36 + (2*t^8.72)/g1^86 + t^8.77/g1^136 + 2*g1^88*t^8.79 - 2*g1^38*t^8.84 + t^8.89/g1^12 + (2*t^8.94)/g1^62 + t^8.99/g1^112 - t^4.45/(g1^6*y) - (g1^10*t^6.59)/y - t^6.64/(g1^40*y) + (g1^8*t^7.07)/y + (2*g1^6*t^7.55)/y + t^7.6/(g1^44*y) - t^7.82/(g1^20*y) + (g1^54*t^7.99)/y + (2*g1^4*t^8.04)/y + t^8.09/(g1^46*y) + (2*g1^28*t^8.25)/y + (2*t^8.3)/(g1^22*y) + (2*g1^2*t^8.52)/y + (2*t^8.57)/(g1^48*y) + (g1^26*t^8.73)/y + (3*t^8.78)/(g1^24*y) - (t^4.45*y)/g1^6 - g1^10*t^6.59*y - (t^6.64*y)/g1^40 + g1^8*t^7.07*y + 2*g1^6*t^7.55*y + (t^7.6*y)/g1^44 - (t^7.82*y)/g1^20 + g1^54*t^7.99*y + 2*g1^4*t^8.04*y + (t^8.09*y)/g1^46 + 2*g1^28*t^8.25*y + (2*t^8.3*y)/g1^22 + 2*g1^2*t^8.52*y + (2*t^8.57*y)/g1^48 + g1^26*t^8.73*y + (3*t^8.78*y)/g1^24 |
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 |
---|---|---|---|---|---|---|---|---|
5086 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1q_2$ + $ M_8\phi_1q_2^2$ | 0.6814 | 0.8736 | 0.78 | [X:[], M:[1.1906, 0.7519, 0.8094, 1.1331, 0.8669, 1.1331, 0.705, 0.7625], q:[0.4334, 0.376], qb:[0.7572, 0.4909], phi:[0.4856]] | t^2.11 + t^2.26 + t^2.29 + t^2.43 + t^2.77 + t^2.91 + 2*t^3.4 + t^3.57 + 2*t^4.06 + 2*t^4.23 + t^4.37 + 2*t^4.4 + t^4.51 + 2*t^4.54 + t^4.57 + t^4.68 + t^4.72 + t^4.86 + t^4.89 + 2*t^5.03 + t^5.06 + t^5.17 + 2*t^5.2 + t^5.34 + 2*t^5.51 + t^5.55 + t^5.66 + 4*t^5.69 + 2*t^5.83 + t^5.86 - 2*t^6. - t^4.46/y - t^4.46*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2106 | 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_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ | 0.6433 | 0.803 | 0.801 | [X:[], M:[1.1981, 0.7264, 0.8019, 1.1226, 0.8774, 1.1226], q:[0.4387, 0.3632], qb:[0.7594, 0.5142], phi:[0.4811]] | t^2.18 + t^2.41 + t^2.86 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.36 + t^4.53 + t^4.58 + t^4.81 + t^5.04 + t^5.07 + t^5.26 + t^5.29 + t^5.55 + t^5.72 + t^5.75 + 2*t^5.77 + t^5.8 - 2*t^6. - t^4.44/y - t^4.44*y | detail |