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 |
---|---|---|---|---|---|---|---|---|---|
1166 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ | 0.6686 | 0.8353 | 0.8005 | [X:[], M:[1.1423, 1.0955, 0.9278, 0.8577, 0.69, 0.8811], q:[0.7739, 0.345], qb:[0.5127, 0.5595], phi:[0.4522]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_3M_6$, $ \phi_1^4$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ M_2M_6$, $ M_5q_1\tilde{q}_1$ | . | -1 | t^2.07 + t^2.57 + t^2.64 + t^2.71 + t^2.78 + t^3.29 + t^3.43 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.43 + t^4.57 + t^4.64 + 2*t^4.71 + t^4.78 + t^4.85 + t^5.15 + t^5.22 + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.57 + 2*t^5.93 - t^6. + 2*t^6.07 + t^6.14 + 2*t^6.21 + t^6.43 + t^6.5 + t^6.57 + t^6.64 + t^6.71 + 3*t^6.78 + 2*t^6.85 + t^6.92 + t^7.01 + t^7.08 + 2*t^7.15 + t^7.22 + 2*t^7.29 + 2*t^7.36 + 3*t^7.43 + 3*t^7.5 + t^7.57 + t^7.64 + 2*t^7.72 + 2*t^7.86 + t^7.93 + 3*t^8. + 4*t^8.14 + 2*t^8.21 + 2*t^8.28 + t^8.29 + t^8.35 + t^8.43 + t^8.57 - 2*t^8.64 + t^8.71 - t^8.78 + 4*t^8.85 + t^8.87 + 2*t^8.92 + 2*t^8.99 - t^4.36/y - t^6.43/y - t^7./y - t^7.14/y + t^7.57/y + t^7.64/y + (2*t^7.71)/y + t^7.78/y + t^7.85/y + t^8.22/y + (2*t^8.29)/y + (3*t^8.36)/y + t^8.43/y + t^8.5/y + t^8.86/y + (2*t^8.93)/y - t^4.36*y - t^6.43*y - t^7.*y - t^7.14*y + t^7.57*y + t^7.64*y + 2*t^7.71*y + t^7.78*y + t^7.85*y + t^8.22*y + 2*t^8.29*y + 3*t^8.36*y + t^8.43*y + t^8.5*y + t^8.86*y + 2*t^8.93*y | g1^6*t^2.07 + t^2.57/g1^8 + t^2.64/g1^2 + g1^4*t^2.71 + g1^10*t^2.78 + t^3.29/g1^4 + g1^8*t^3.43 + t^3.86/g1^12 + t^4. + g1^6*t^4.07 + g1^12*t^4.14 + t^4.43/g1^20 + t^4.57/g1^8 + t^4.64/g1^2 + 2*g1^4*t^4.71 + g1^10*t^4.78 + g1^16*t^4.85 + t^5.15/g1^16 + t^5.22/g1^10 + (2*t^5.29)/g1^4 + 2*g1^2*t^5.36 + 2*g1^8*t^5.43 + g1^14*t^5.5 + g1^20*t^5.57 + (2*t^5.93)/g1^6 - t^6. + 2*g1^6*t^6.07 + g1^12*t^6.14 + 2*g1^18*t^6.21 + t^6.43/g1^20 + t^6.5/g1^14 + t^6.57/g1^8 + t^6.64/g1^2 + g1^4*t^6.71 + 3*g1^10*t^6.78 + 2*g1^16*t^6.85 + g1^22*t^6.92 + t^7.01/g1^28 + t^7.08/g1^22 + (2*t^7.15)/g1^16 + t^7.22/g1^10 + (2*t^7.29)/g1^4 + 2*g1^2*t^7.36 + 3*g1^8*t^7.43 + 3*g1^14*t^7.5 + g1^20*t^7.57 + g1^26*t^7.64 + (2*t^7.72)/g1^24 + (2*t^7.86)/g1^12 + t^7.93/g1^6 + 3*t^8. + 4*g1^12*t^8.14 + 2*g1^18*t^8.21 + 2*g1^24*t^8.28 + t^8.29/g1^32 + g1^30*t^8.35 + t^8.43/g1^20 + t^8.57/g1^8 - (2*t^8.64)/g1^2 + g1^4*t^8.71 - g1^10*t^8.78 + 4*g1^16*t^8.85 + t^8.87/g1^40 + 2*g1^22*t^8.92 + 2*g1^28*t^8.99 - (g1^2*t^4.36)/y - (g1^8*t^6.43)/y - t^7./y - (g1^12*t^7.14)/y + t^7.57/(g1^8*y) + t^7.64/(g1^2*y) + (2*g1^4*t^7.71)/y + (g1^10*t^7.78)/y + (g1^16*t^7.85)/y + t^8.22/(g1^10*y) + (2*t^8.29)/(g1^4*y) + (3*g1^2*t^8.36)/y + (g1^8*t^8.43)/y + (g1^14*t^8.5)/y + t^8.86/(g1^12*y) + (2*t^8.93)/(g1^6*y) - g1^2*t^4.36*y - g1^8*t^6.43*y - t^7.*y - g1^12*t^7.14*y + (t^7.57*y)/g1^8 + (t^7.64*y)/g1^2 + 2*g1^4*t^7.71*y + g1^10*t^7.78*y + g1^16*t^7.85*y + (t^8.22*y)/g1^10 + (2*t^8.29*y)/g1^4 + 3*g1^2*t^8.36*y + g1^8*t^8.43*y + g1^14*t^8.5*y + (t^8.86*y)/g1^12 + (2*t^8.93*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
2220 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_7$ | 0.6818 | 0.8585 | 0.7942 | [X:[], M:[1.1598, 1.0868, 0.9497, 0.8402, 0.7032, 0.8767, 0.8402], q:[0.7717, 0.3516], qb:[0.4886, 0.5616], phi:[0.4566]] | t^2.11 + 2*t^2.52 + t^2.63 + t^2.74 + t^2.85 + t^3.26 + t^3.78 + t^4. + t^4.11 + t^4.22 + t^4.3 + t^4.52 + 2*t^4.63 + 2*t^4.74 + t^4.85 + t^4.96 + 3*t^5.04 + 2*t^5.15 + 3*t^5.26 + 3*t^5.37 + 2*t^5.48 + t^5.7 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
2218 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_7$ | 0.6635 | 0.8279 | 0.8015 | [X:[], M:[1.1701, 1.0816, 0.9627, 0.8299, 0.7109, 0.8741, 1.0373], q:[0.7704, 0.3555], qb:[0.4744, 0.5629], phi:[0.4592]] | t^2.13 + t^2.49 + t^2.62 + t^2.76 + t^3.11 + t^3.24 + t^3.51 + t^3.73 + t^4. + t^4.13 + t^4.22 + t^4.27 + t^4.49 + t^4.62 + 2*t^4.76 + t^4.89 + t^4.98 + t^5.11 + 3*t^5.24 + t^5.38 + t^5.51 + t^5.6 + t^5.73 + 3*t^5.87 - t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
712 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.06 + t^2.59 + t^2.71 + t^2.76 + t^3.29 + t^3.35 + t^3.41 + t^3.88 + t^4. + t^4.06 + t^4.12 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.76 + t^4.82 + t^5.18 + t^5.29 + t^5.35 + 2*t^5.41 + t^5.47 + t^5.53 + 2*t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |