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 |
---|---|---|---|---|---|---|---|---|---|
140 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2^2$ | 0.5957 | 0.7299 | 0.8162 | [X:[], M:[0.7645, 1.0], q:[0.8089, 0.8089], qb:[0.3089, 0.5443], phi:[0.3823]] | [X:[], M:[[-4], [0]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | . | -2 | 2*t^2.29 + t^2.56 + t^3. + 2*t^3.35 + 2*t^4.06 + t^4.41 + 3*t^4.59 + 3*t^4.85 + t^5.12 + t^5.29 + t^5.56 + 2*t^5.65 + 2*t^5.91 - 2*t^6. + 4*t^6.35 - t^6.44 + 2*t^6.62 + 3*t^6.71 - 2*t^6.79 + 4*t^6.88 + t^6.97 + 3*t^7.15 + 5*t^7.41 - 2*t^7.5 + t^7.59 + t^7.68 + 2*t^7.94 + 3*t^8.12 + 2*t^8.21 - 4*t^8.29 + 4*t^8.47 - 4*t^8.56 + 2*t^8.65 - t^8.73 + t^8.83 + 4*t^8.91 - t^4.15/y - (2*t^6.44)/y + t^7.59/y + (4*t^7.85)/y + (2*t^8.29)/y + t^8.56/y + (4*t^8.65)/y - (3*t^8.73)/y + (2*t^8.91)/y - t^4.15*y - 2*t^6.44*y + t^7.59*y + 4*t^7.85*y + 2*t^8.29*y + t^8.56*y + 4*t^8.65*y - 3*t^8.73*y + 2*t^8.91*y | (2*t^2.29)/g1^4 + g1^6*t^2.56 + t^3. + 2*g1^2*t^3.35 + 2*g1^6*t^4.06 + g1^8*t^4.41 + (3*t^4.59)/g1^8 + 3*g1^2*t^4.85 + g1^12*t^5.12 + t^5.29/g1^4 + g1^6*t^5.56 + (2*t^5.65)/g1^2 + 2*g1^8*t^5.91 - 2*t^6. + 4*g1^2*t^6.35 - t^6.44/g1^6 + 2*g1^12*t^6.62 + 3*g1^4*t^6.71 - (2*t^6.79)/g1^4 + (4*t^6.88)/g1^12 + g1^14*t^6.97 + (3*t^7.15)/g1^2 + 5*g1^8*t^7.41 - 2*t^7.5 + t^7.59/g1^8 + g1^18*t^7.68 + (2*t^7.94)/g1^6 + 3*g1^12*t^8.12 + 2*g1^4*t^8.21 - (4*t^8.29)/g1^4 + 4*g1^14*t^8.47 - 4*g1^6*t^8.56 + (2*t^8.65)/g1^2 - t^8.73/g1^10 + g1^16*t^8.83 + 4*g1^8*t^8.91 - t^4.15/(g1^2*y) - (2*t^6.44)/(g1^6*y) + t^7.59/(g1^8*y) + (4*g1^2*t^7.85)/y + (2*t^8.29)/(g1^4*y) + (g1^6*t^8.56)/y + (4*t^8.65)/(g1^2*y) - (3*t^8.73)/(g1^10*y) + (2*g1^8*t^8.91)/y - (t^4.15*y)/g1^2 - (2*t^6.44*y)/g1^6 + (t^7.59*y)/g1^8 + 4*g1^2*t^7.85*y + (2*t^8.29*y)/g1^4 + g1^6*t^8.56*y + (4*t^8.65*y)/g1^2 - (3*t^8.73*y)/g1^10 + 2*g1^8*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
232 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2^2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.5953 | 0.7281 | 0.8176 | [X:[], M:[0.75, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 2*t^4.12 + 4*t^4.5 + 3*t^4.88 + 2*t^5.25 + 3*t^5.62 - t^4.12/y - t^4.12*y | detail | {a: 9753/16384, c: 11929/16384, M1: 3/4, M2: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
85 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*y | detail |