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 |
---|---|---|---|---|---|---|---|---|---|
46872 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[0.9798, 0.8466, 1.0202, 1.0, 1.0767, 0.8264], q:[0.5, 0.5202], qb:[0.6534, 0.4798], phi:[0.4617]] | [X:[], M:[[0, 1], [-4, 0], [0, -1], [0, 0], [2, 0], [-4, 1]], q:[[0, 0], [0, -1]], qb:[[4, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_1$, $ M_4$, $ M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_1M_2$, $ M_4M_6$, $ M_2M_4$, $ M_3M_6$, $ M_5M_6$, $ M_2M_5$, $ M_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^6.06 + t^6.17 + t^6.23 + t^6.29 + t^6.34 - t^6.52 + t^6.63 + t^6.74 + 3*t^6.8 + 2*t^6.86 + 2*t^6.92 + t^6.99 + t^7.05 + t^7.2 + 2*t^7.26 + 3*t^7.32 + 2*t^7.38 + t^7.44 + 2*t^7.45 + t^7.5 + t^7.51 + t^7.56 + t^7.57 + t^7.62 + t^7.66 + t^7.72 + 2*t^7.78 + t^7.85 + t^7.9 + t^7.96 + t^8.02 + t^8.08 + t^8.18 + t^8.19 + t^8.24 + t^8.25 + 2*t^8.31 + t^8.36 - t^8.42 - 3*t^8.48 + t^8.53 - 4*t^8.54 + t^8.59 - 2*t^8.6 + 3*t^8.65 - t^8.66 + t^8.7 + 3*t^8.71 + 4*t^8.77 + t^8.82 + 2*t^8.83 - t^8.88 + 2*t^8.89 - 4*t^8.94 + t^8.95 - t^4.38/y - t^6.86/y - t^6.92/y + t^7.85/y + t^7.91/y + t^8.02/y + t^8.42/y + (2*t^8.48)/y + (2*t^8.54)/y + t^8.6/y + t^8.71/y + t^8.77/y + t^8.88/y + (2*t^8.94)/y - t^4.38*y - t^6.86*y - t^6.92*y + t^7.85*y + t^7.91*y + t^8.02*y + t^8.42*y + 2*t^8.48*y + 2*t^8.54*y + t^8.6*y + t^8.71*y + t^8.77*y + t^8.88*y + 2*t^8.94*y | (g2*t^2.48)/g1^4 + t^2.54/g1^4 + g2*t^2.94 + t^3. + t^3.06/g2 + g1^2*t^3.23 + g1^4*g2*t^3.4 + (g2^2*t^4.26)/g1 + (g2*t^4.32)/g1 + (2*t^4.38)/g1 + t^4.45/(g1*g2) + t^4.51/(g1*g2^2) + g1^3*g2*t^4.78 + g1^3*t^4.85 + (g1^3*t^4.91)/g2 + (g2^2*t^4.96)/g1^8 + (g2*t^5.02)/g1^8 + t^5.08/g1^8 + g1^7*t^5.31 + (g2^2*t^5.42)/g1^4 + (g2*t^5.48)/g1^4 + t^5.54/g1^4 + (g2*t^5.71)/g1^2 + t^5.77/g1^2 + g2^2*t^5.88 - 2*t^6. - t^6.06/g2 + g1^2*g2*t^6.17 + g1^2*t^6.23 + (g1^2*t^6.29)/g2 + g1^4*g2^2*t^6.34 - (g1^4*t^6.52)/g2 + g1^6*g2*t^6.63 + (g2^3*t^6.74)/g1^5 + (2*g2^2*t^6.8)/g1^5 + g1^8*g2^2*t^6.8 + (2*g2*t^6.86)/g1^5 + (2*t^6.92)/g1^5 + t^6.99/(g1^5*g2) + t^7.05/(g1^5*g2^2) + (g2^3*t^7.2)/g1 + (2*g2^2*t^7.26)/g1 + (3*g2*t^7.32)/g1 + (2*t^7.38)/g1 + (g2^3*t^7.44)/g1^12 + (2*t^7.45)/(g1*g2) + (g2^2*t^7.5)/g1^12 + t^7.51/(g1*g2^2) + (g2*t^7.56)/g1^12 + t^7.57/(g1*g2^3) + t^7.62/g1^12 + g1^3*g2^3*t^7.66 + g1^3*g2^2*t^7.72 + 2*g1^3*g2*t^7.78 + g1^3*t^7.85 + (g2^3*t^7.9)/g1^8 + (g2^2*t^7.96)/g1^8 + (g2*t^8.02)/g1^8 + t^8.08/g1^8 + g1^7*g2^2*t^8.18 + (g2^2*t^8.19)/g1^6 + g1^7*g2*t^8.24 + (g2*t^8.25)/g1^6 + t^8.31/g1^6 + g1^7*t^8.31 + (g2^3*t^8.36)/g1^4 - (g2^2*t^8.42)/g1^4 - (3*g2*t^8.48)/g1^4 + (g2^4*t^8.53)/g1^2 - (4*t^8.54)/g1^4 + (g2^3*t^8.59)/g1^2 - (2*t^8.6)/(g1^4*g2) + (3*g2^2*t^8.65)/g1^2 - t^8.66/(g1^4*g2^2) + g1^11*g2*t^8.7 + (3*g2*t^8.71)/g1^2 + (4*t^8.77)/g1^2 + g2^3*t^8.82 + (2*t^8.83)/(g1^2*g2) - g2^2*t^8.88 + (2*t^8.89)/(g1^2*g2^2) - 4*g2*t^8.94 + t^8.95/(g1^2*g2^3) - t^4.38/(g1*y) - (g2*t^6.86)/(g1^5*y) - t^6.92/(g1^5*y) + (g1^3*t^7.85)/y + (g1^3*t^7.91)/(g2*y) + (g2*t^8.02)/(g1^8*y) + (g2^2*t^8.42)/(g1^4*y) + (2*g2*t^8.48)/(g1^4*y) + (2*t^8.54)/(g1^4*y) + t^8.6/(g1^4*g2*y) + (g2*t^8.71)/(g1^2*y) + t^8.77/(g1^2*y) + (g2^2*t^8.88)/y + (2*g2*t^8.94)/y - (t^4.38*y)/g1 - (g2*t^6.86*y)/g1^5 - (t^6.92*y)/g1^5 + g1^3*t^7.85*y + (g1^3*t^7.91*y)/g2 + (g2*t^8.02*y)/g1^8 + (g2^2*t^8.42*y)/g1^4 + (2*g2*t^8.48*y)/g1^4 + (2*t^8.54*y)/g1^4 + (t^8.6*y)/(g1^4*g2) + (g2*t^8.71*y)/g1^2 + (t^8.77*y)/g1^2 + g2^2*t^8.88*y + 2*g2*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
55410 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.7139 | 0.8726 | 0.8181 | [X:[], M:[1.0057, 0.8428, 0.9943, 1.0, 1.0786, 0.8485, 0.9943], q:[0.5, 0.4943], qb:[0.6572, 0.5057], phi:[0.4607]] | t^2.53 + t^2.55 + 2*t^2.98 + t^3. + t^3.24 + t^3.49 + t^4.35 + t^4.36 + 2*t^4.38 + t^4.4 + t^4.42 + t^4.84 + t^4.85 + t^4.87 + t^5.06 + t^5.07 + t^5.09 + t^5.33 + t^5.51 + 2*t^5.53 + t^5.76 + t^5.78 + 2*t^5.97 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
53789 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.695 | 0.8495 | 0.8181 | [X:[], M:[1.0373, 0.9627, 0.9627, 1.0, 1.0186, 1.0], q:[0.5, 0.4627], qb:[0.5373, 0.5373], phi:[0.4907]] | 2*t^2.89 + 2*t^3. + t^3.06 + t^3.11 + t^3.22 + t^4.25 + t^4.36 + 3*t^4.47 + 2*t^4.58 + 3*t^4.7 + t^5.78 + t^5.89 + 2*t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
55217 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[0.7432, 0.9453, 1.2568, 1.0, 1.0274, 0.6884], q:[0.5, 0.7568], qb:[0.5547, 0.2432], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
46663 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 0.8892, 1.0, 1.0, 1.0554], q:[0.5, 0.5], qb:[0.6108, 0.5], phi:[0.4723]] | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. - t^4.42/y - t^4.42*y | detail |