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 |
---|---|---|---|---|---|---|---|---|---|
1189 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6421 | 0.7861 | 0.8168 | [X:[], M:[1.1304, 0.7391, 0.8696, 0.8696, 0.8261, 1.2174], q:[0.8044, 0.5001], qb:[0.3695, 0.7608], phi:[0.3913]] | [X:[], M:[[16], [14], [-16], [-16], [-6], [-4]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_2M_6$ | . | -1 | t^2.22 + t^2.48 + 2*t^2.61 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.17 + t^4.43 + t^4.57 + 2*t^4.7 + t^4.83 + 2*t^4.96 + 2*t^5.09 + 2*t^5.22 + t^5.74 + t^5.87 - t^6. + t^6.13 + 2*t^6.26 + 2*t^6.39 + 2*t^6.52 + 2*t^6.65 + 2*t^6.78 + t^6.91 + t^7.04 + 2*t^7.17 + 2*t^7.3 + 3*t^7.43 + 4*t^7.57 + 2*t^7.7 + 3*t^7.83 + 2*t^7.96 + t^8.09 - 2*t^8.22 + 3*t^8.35 - 2*t^8.48 - 2*t^8.61 + 2*t^8.74 + 4*t^8.87 - t^4.17/y - t^6.39/y - t^6.65/y - t^6.78/y + t^7.57/y + (2*t^7.7)/y + (2*t^7.83)/y + t^7.96/y + (2*t^8.09)/y + t^8.22/y + t^8.87/y - t^4.17*y - t^6.39*y - t^6.65*y - t^6.78*y + t^7.57*y + 2*t^7.7*y + 2*t^7.83*y + t^7.96*y + 2*t^8.09*y + t^8.22*y + t^8.87*y | g1^14*t^2.22 + t^2.48/g1^6 + (2*t^2.61)/g1^16 + g1^16*t^3.39 + t^3.65/g1^4 + t^3.78/g1^14 + t^3.91/g1^24 + t^4.17/g1^44 + g1^28*t^4.43 + g1^18*t^4.57 + 2*g1^8*t^4.7 + t^4.83/g1^2 + (2*t^4.96)/g1^12 + (2*t^5.09)/g1^22 + (2*t^5.22)/g1^32 + g1^20*t^5.74 + g1^10*t^5.87 - t^6. + t^6.13/g1^10 + (2*t^6.26)/g1^20 + (2*t^6.39)/g1^30 + (2*t^6.52)/g1^40 + t^6.65/g1^50 + g1^42*t^6.65 + (2*t^6.78)/g1^60 + g1^22*t^6.91 + g1^12*t^7.04 + 2*g1^2*t^7.17 + (2*t^7.3)/g1^8 + (3*t^7.43)/g1^18 + (4*t^7.57)/g1^28 + (2*t^7.7)/g1^38 + (3*t^7.83)/g1^48 + t^7.96/g1^58 + g1^34*t^7.96 + t^8.09/g1^68 - 2*g1^14*t^8.22 + t^8.35/g1^88 + 2*g1^4*t^8.35 - (2*t^8.48)/g1^6 - (2*t^8.61)/g1^16 + (2*t^8.74)/g1^26 + (3*t^8.87)/g1^36 + g1^56*t^8.87 - (g1^2*t^4.17)/y - (g1^16*t^6.39)/y - t^6.65/(g1^4*y) - t^6.78/(g1^14*y) + (g1^18*t^7.57)/y + (2*g1^8*t^7.7)/y + (2*t^7.83)/(g1^2*y) + t^7.96/(g1^12*y) + (2*t^8.09)/(g1^22*y) + t^8.22/(g1^32*y) + (g1^10*t^8.87)/y - g1^2*t^4.17*y - g1^16*t^6.39*y - (t^6.65*y)/g1^4 - (t^6.78*y)/g1^14 + g1^18*t^7.57*y + 2*g1^8*t^7.7*y + (2*t^7.83*y)/g1^2 + (t^7.96*y)/g1^12 + (2*t^8.09*y)/g1^22 + (t^8.22*y)/g1^32 + g1^10*t^8.87*y |
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 |
---|---|---|---|---|---|---|---|---|
2236 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_7$ | 0.6312 | 0.7667 | 0.8233 | [X:[], M:[1.1127, 0.7236, 0.8873, 0.8873, 0.8328, 1.2218, 1.1127], q:[0.8055, 0.5255], qb:[0.3618, 0.7509], phi:[0.3891]] | t^2.17 + t^2.5 + t^2.66 + 2*t^3.34 + t^3.67 + t^3.83 + t^3.99 + t^4.32 + t^4.34 + t^4.51 + 2*t^4.67 + 2*t^5. + t^5.16 + t^5.51 + t^5.67 + 2*t^5.84 - t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
724 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6596 | 0.817 | 0.8073 | [X:[], M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], phi:[0.3909]] | t^2.21 + t^2.35 + t^2.48 + 2*t^2.62 + t^3.38 + t^3.79 + t^3.93 + t^4.2 + t^4.42 + 2*t^4.56 + 3*t^4.69 + 2*t^4.83 + 4*t^4.96 + 2*t^5.1 + 2*t^5.23 + 2*t^5.73 - t^6. - t^4.17/y - t^4.17*y | detail |