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 |
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1919 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6674 | 0.8593 | 0.7766 | [X:[], M:[0.8127, 1.1873, 0.8127, 0.6873, 1.1204, 0.8077], q:[0.75, 0.4373], qb:[0.4423, 0.3704], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_6$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_6^2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5M_6$, $ M_6q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_2$ | . | -3 | t^2.06 + 2*t^2.42 + 2*t^2.44 + t^3. + 2*t^3.36 + t^3.72 + t^3.92 + 2*t^4.12 + t^4.14 + t^4.15 + 2*t^4.48 + 2*t^4.5 + 3*t^4.85 + 4*t^4.86 + 3*t^4.88 + t^5.06 + 4*t^5.42 + 2*t^5.44 + 4*t^5.78 + 3*t^5.8 - 3*t^6. - t^6.02 + 2*t^6.15 + 2*t^6.16 + 2*t^6.19 + 2*t^6.35 + 2*t^6.36 + 4*t^6.55 + 4*t^6.56 + 2*t^6.58 + 2*t^6.59 + 3*t^6.72 + 3*t^6.91 + 3*t^6.92 + t^6.94 + 2*t^7.08 + t^7.12 - t^7.14 + 4*t^7.27 + 6*t^7.28 + 4*t^7.3 + 4*t^7.31 + t^7.45 + 4*t^7.48 + t^7.65 - 2*t^7.7 - 2*t^7.72 + 8*t^7.85 + 6*t^7.86 + 3*t^7.88 + t^8.05 - 4*t^8.06 - 2*t^8.08 + 6*t^8.21 + 6*t^8.22 + 4*t^8.24 + 3*t^8.25 + t^8.26 + t^8.28 + t^8.29 + t^8.31 - 6*t^8.42 - 8*t^8.44 - 2*t^8.45 + 3*t^8.57 + 4*t^8.58 + 3*t^8.6 + 4*t^8.61 + 2*t^8.62 - 2*t^8.64 + 3*t^8.77 + 6*t^8.78 + 2*t^8.8 + 6*t^8.97 + 5*t^8.98 - t^4.5/y - t^6.56/y - t^6.92/y - t^6.94/y + t^7.14/y + (2*t^7.48)/y + (2*t^7.5)/y + t^7.85/y + (3*t^7.86)/y + t^7.88/y + (2*t^8.06)/y + t^8.08/y + (4*t^8.42)/y + (3*t^8.44)/y - t^8.62/y + (5*t^8.78)/y + (4*t^8.8)/y - t^4.5*y - t^6.56*y - t^6.92*y - t^6.94*y + t^7.14*y + 2*t^7.48*y + 2*t^7.5*y + t^7.85*y + 3*t^7.86*y + t^7.88*y + 2*t^8.06*y + t^8.08*y + 4*t^8.42*y + 3*t^8.44*y - t^8.62*y + 5*t^8.78*y + 4*t^8.8*y | t^2.06/(g1*g2) + (2*t^2.42)/g1 + 2*g1*g2*t^2.44 + t^3. + 2*g2*t^3.36 + g2^2*t^3.72 + t^3.92/g1 + (2*t^4.12)/(g1^2*g2^2) + t^4.14/g2 + g1^2*t^4.15 + (2*t^4.48)/(g1^2*g2) + 2*t^4.5 + (3*t^4.85)/g1^2 + 4*g2*t^4.86 + 3*g1^2*g2^2*t^4.88 + t^5.06/(g1*g2) + (4*t^5.42)/g1 + 2*g1*g2*t^5.44 + (4*g2*t^5.78)/g1 + 3*g1*g2^2*t^5.8 - 3*t^6. - g1^2*g2*t^6.02 + (2*g2^2*t^6.15)/g1 + 2*g1*g2^3*t^6.16 + (2*t^6.19)/(g1^3*g2^3) + (2*t^6.35)/g1^2 + 2*g2*t^6.36 + (4*t^6.55)/(g1^3*g2^2) + (4*t^6.56)/(g1*g2) + 2*g1*t^6.58 + 2*g1^3*g2*t^6.59 + 3*g2^2*t^6.72 + (3*t^6.91)/(g1^3*g2) + (3*t^6.92)/g1 + g1*g2*t^6.94 + 2*g2^3*t^7.08 + t^7.12/(g1^2*g2^2) - t^7.14/g2 + (4*t^7.27)/g1^3 + (6*g2*t^7.28)/g1 + 4*g1*g2^2*t^7.3 + 4*g1^3*g2^3*t^7.31 + g2^4*t^7.45 + (4*t^7.48)/(g1^2*g2) + (g2^2*t^7.65)/g1 - (2*t^7.7)/(g1*g2^2) - (2*g1*t^7.72)/g2 + (8*t^7.85)/g1^2 + 6*g2*t^7.86 + 3*g1^2*g2^2*t^7.88 + t^8.05/(g1^3*g2^2) - (4*t^8.06)/(g1*g2) - 2*g1*t^8.08 + (6*g2*t^8.21)/g1^2 + 6*g2^2*t^8.22 + 4*g1^2*g2^3*t^8.24 + (3*t^8.25)/(g1^4*g2^4) + t^8.26/(g1^2*g2^3) + t^8.28/g2^2 + (g1^2*t^8.29)/g2 + g1^4*t^8.31 - (6*t^8.42)/g1 - 8*g1*g2*t^8.44 - 2*g1^3*g2^2*t^8.45 + (3*g2^2*t^8.57)/g1^2 + 4*g2^3*t^8.58 + 3*g1^2*g2^4*t^8.6 + (4*t^8.61)/(g1^4*g2^3) + (2*t^8.62)/(g1^2*g2^2) - (2*t^8.64)/g2 + (3*t^8.77)/g1^3 + (6*g2*t^8.78)/g1 + 2*g1*g2^2*t^8.8 + (6*t^8.97)/(g1^4*g2^2) + (5*t^8.98)/(g1^2*g2) - t^4.5/y - t^6.56/(g1*g2*y) - t^6.92/(g1*y) - (g1*g2*t^6.94)/y + t^7.14/(g2*y) + (2*t^7.48)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.85/(g1^2*y) + (3*g2*t^7.86)/y + (g1^2*g2^2*t^7.88)/y + (2*t^8.06)/(g1*g2*y) + (g1*t^8.08)/y + (4*t^8.42)/(g1*y) + (3*g1*g2*t^8.44)/y - t^8.62/(g1^2*g2^2*y) + (5*g2*t^8.78)/(g1*y) + (4*g1*g2^2*t^8.8)/y - t^4.5*y - (t^6.56*y)/(g1*g2) - (t^6.92*y)/g1 - g1*g2*t^6.94*y + (t^7.14*y)/g2 + (2*t^7.48*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.85*y)/g1^2 + 3*g2*t^7.86*y + g1^2*g2^2*t^7.88*y + (2*t^8.06*y)/(g1*g2) + g1*t^8.08*y + (4*t^8.42*y)/g1 + 3*g1*g2*t^8.44*y - (t^8.62*y)/(g1^2*g2^2) + (5*g2*t^8.78*y)/g1 + 4*g1*g2^2*t^8.8*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
571 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.652 | 0.8312 | 0.7844 | [X:[], M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | t^2.09 + 2*t^2.41 + t^2.48 + t^3. + 2*t^3.4 + t^3.52 + t^3.8 + t^3.98 + t^4.03 + t^4.1 + 2*t^4.17 + 2*t^4.5 + t^4.57 + 3*t^4.83 + 2*t^4.9 + t^4.97 + t^5.09 + 2*t^5.41 + 3*t^5.48 + t^5.6 + 3*t^5.81 + 2*t^5.88 + t^5.93 - 2*t^6. - t^4.5/y - t^4.5*y | detail |