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 |
---|---|---|---|---|---|---|---|---|---|
1129 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ | 0.6599 | 0.8074 | 0.8173 | [X:[], M:[1.0902, 1.0902, 1.0041, 0.7295, 0.9098, 1.0902], q:[0.7725, 0.4119], qb:[0.4979, 0.4979], phi:[0.4549]] | [X:[], M:[[4], [4], [-22], [-12], [-4], [4]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_6$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_4$, $ M_4M_6$, $ \phi_1^4$ | $M_6\phi_1^2$, $ M_4q_1\tilde{q}_1$ | -2 | t^2.19 + t^2.73 + t^3.01 + 2*t^3.27 + t^3.55 + t^3.81 + t^3.84 + 2*t^4.09 + 3*t^4.35 + t^4.38 + t^4.92 + t^5.2 + 3*t^5.46 - 2*t^6. + 2*t^6.02 - 2*t^6.26 + 4*t^6.28 + 4*t^6.54 + 3*t^6.57 + 2*t^6.82 + t^6.85 + 2*t^7.08 + 3*t^7.11 + 2*t^7.36 + 2*t^7.39 + 2*t^7.62 + 4*t^7.65 + t^7.67 + t^7.91 + 2*t^7.93 + t^8.16 + t^8.19 + 2*t^8.21 + 3*t^8.47 + 5*t^8.7 + t^8.73 + 2*t^8.75 - 2*t^8.99 - t^4.36/y - t^6.55/y + t^7.09/y + t^7.35/y - t^7.38/y - t^7.64/y + t^7.92/y + t^8.18/y + t^8.2/y + (2*t^8.46)/y + t^8.74/y - t^4.36*y - t^6.55*y + t^7.09*y + t^7.35*y - t^7.38*y - t^7.64*y + t^7.92*y + t^8.18*y + t^8.2*y + 2*t^8.46*y + t^8.74*y | t^2.19/g1^12 + t^2.73/g1^4 + t^3.01/g1^22 + 2*g1^4*t^3.27 + t^3.55/g1^14 + g1^12*t^3.81 + t^3.84/g1^32 + (2*t^4.09)/g1^6 + 3*g1^20*t^4.35 + t^4.38/g1^24 + t^4.92/g1^16 + t^5.2/g1^34 + (3*t^5.46)/g1^8 - 2*t^6. + (2*t^6.02)/g1^44 - 2*g1^26*t^6.26 + (4*t^6.28)/g1^18 + 4*g1^8*t^6.54 + (3*t^6.57)/g1^36 + (2*t^6.82)/g1^10 + t^6.85/g1^54 + 2*g1^16*t^7.08 + (3*t^7.11)/g1^28 + (2*t^7.36)/g1^2 + (2*t^7.39)/g1^46 + 2*g1^24*t^7.62 + (4*t^7.65)/g1^20 + t^7.67/g1^64 + g1^6*t^7.91 + (2*t^7.93)/g1^38 + g1^32*t^8.16 + t^8.19/g1^12 + (2*t^8.21)/g1^56 + (3*t^8.47)/g1^30 + 5*g1^40*t^8.7 + t^8.73/g1^4 + (2*t^8.75)/g1^48 - 2*g1^22*t^8.99 - t^4.36/(g1^2*y) - t^6.55/(g1^14*y) + t^7.09/(g1^6*y) + (g1^20*t^7.35)/y - t^7.38/(g1^24*y) - (g1^2*t^7.64)/y + t^7.92/(g1^16*y) + (g1^10*t^8.18)/y + t^8.2/(g1^34*y) + (2*t^8.46)/(g1^8*y) + t^8.74/(g1^26*y) - (t^4.36*y)/g1^2 - (t^6.55*y)/g1^14 + (t^7.09*y)/g1^6 + g1^20*t^7.35*y - (t^7.38*y)/g1^24 - g1^2*t^7.64*y + (t^7.92*y)/g1^16 + g1^10*t^8.18*y + (t^8.2*y)/g1^34 + (2*t^8.46*y)/g1^8 + (t^8.74*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
2167 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6797 | 0.8448 | 0.8046 | [X:[], M:[1.0917, 1.0917, 0.9956, 0.7249, 0.9083, 1.0917, 0.7249], q:[0.7729, 0.4061], qb:[0.5022, 0.5022], phi:[0.4541]] | 2*t^2.17 + t^2.72 + t^2.99 + 2*t^3.28 + t^3.54 + t^3.8 + 2*t^4.09 + 3*t^4.35 + 3*t^4.38 + 2*t^4.9 + 2*t^5.16 + 5*t^5.45 + t^5.71 + 3*t^5.97 - 3*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
699 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ | 0.6682 | 0.8218 | 0.813 | [X:[], M:[1.0917, 1.0917, 0.9959, 0.725, 0.9083], q:[0.7729, 0.4063], qb:[0.502, 0.502], phi:[0.4542]] | t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. - t^4.36/y - t^4.36*y | detail |