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 |
---|---|---|---|---|---|---|---|---|---|
47212 | 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_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1\phi_1^2$ | 0.707 | 0.865 | 0.8174 | [X:[], M:[1.0549, 0.8901, 0.9451, 1.0, 0.9451], q:[0.5, 0.4451], qb:[0.6099, 0.5549], phi:[0.4725]] | [X:[], M:[[2], [-4], [-2], [0], [-2]], q:[[0], [-2]], qb:[[4], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_3^2$, $ M_2M_4$, $ M_3M_5$, $ M_5^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_3M_4$, $ M_4M_5$, $ M_4\phi_1^2$ | $M_1M_5$ | 0 | t^2.67 + 3*t^2.84 + t^3. + t^3.16 + t^3.49 + t^4.09 + t^4.25 + 2*t^4.42 + 2*t^4.58 + 2*t^4.75 + t^4.91 + t^5.08 + t^5.34 + 2*t^5.51 + 5*t^5.67 + t^5.84 - t^6.16 + t^6.33 + t^6.66 + t^6.76 + 3*t^6.92 + t^6.99 + 4*t^7.09 + 5*t^7.25 + 5*t^7.42 + 4*t^7.58 + 2*t^7.75 + 2*t^7.91 + t^8.01 + t^8.08 + 3*t^8.18 + t^8.24 + 4*t^8.34 + t^8.41 + 7*t^8.51 + t^8.57 - 2*t^8.84 - t^4.42/y - t^7.09/y - (2*t^7.25)/y + (2*t^7.58)/y + t^7.75/y + (3*t^8.51)/y + (4*t^8.67)/y + (4*t^8.84)/y - t^4.42*y - t^7.09*y - 2*t^7.25*y + 2*t^7.58*y + t^7.75*y + 3*t^8.51*y + 4*t^8.67*y + 4*t^8.84*y | t^2.67/g1^4 + (3*t^2.84)/g1^2 + t^3. + g1^2*t^3.16 + g1^6*t^3.49 + t^4.09/g1^5 + t^4.25/g1^3 + (2*t^4.42)/g1 + 2*g1*t^4.58 + 2*g1^3*t^4.75 + g1^5*t^4.91 + g1^7*t^5.08 + t^5.34/g1^8 + (2*t^5.51)/g1^6 + (5*t^5.67)/g1^4 + t^5.84/g1^2 - g1^2*t^6.16 + g1^4*t^6.33 + g1^8*t^6.66 + t^6.76/g1^9 + (3*t^6.92)/g1^7 + g1^12*t^6.99 + (4*t^7.09)/g1^5 + (5*t^7.25)/g1^3 + (5*t^7.42)/g1 + 4*g1*t^7.58 + 2*g1^3*t^7.75 + 2*g1^5*t^7.91 + t^8.01/g1^12 + g1^7*t^8.08 + (3*t^8.18)/g1^10 + g1^9*t^8.24 + (4*t^8.34)/g1^8 + g1^11*t^8.41 + (7*t^8.51)/g1^6 + g1^13*t^8.57 - (2*t^8.84)/g1^2 - t^4.42/(g1*y) - t^7.09/(g1^5*y) - (2*t^7.25)/(g1^3*y) + (2*g1*t^7.58)/y + (g1^3*t^7.75)/y + (3*t^8.51)/(g1^6*y) + (4*t^8.67)/(g1^4*y) + (4*t^8.84)/(g1^2*y) - (t^4.42*y)/g1 - (t^7.09*y)/g1^5 - (2*t^7.25*y)/g1^3 + 2*g1*t^7.58*y + g1^3*t^7.75*y + (3*t^8.51*y)/g1^6 + (4*t^8.67*y)/g1^4 + (4*t^8.84*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
55525 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7125 | 0.8748 | 0.8145 | [X:[], M:[1.0639, 0.8722, 0.9361, 1.0, 0.9361, 0.9361], q:[0.5, 0.4361], qb:[0.6278, 0.5639], phi:[0.4681]] | t^2.62 + 4*t^2.81 + t^3. + t^3.58 + t^4.02 + t^4.21 + 2*t^4.4 + 2*t^4.6 + 2*t^4.79 + t^4.98 + t^5.17 + t^5.23 + 3*t^5.42 + 9*t^5.62 + t^5.81 - 3*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
46476 | 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_5q_2\tilde{q}_1$ + $ M_4^2$ | 0.7222 | 0.8878 | 0.8134 | [X:[], M:[0.9818, 0.8228, 1.0182, 1.0, 0.8046], q:[0.5, 0.5182], qb:[0.6772, 0.4818], phi:[0.4557]] | t^2.41 + t^2.47 + t^2.73 + t^2.95 + t^3. + t^3.05 + t^3.48 + t^4.26 + t^4.31 + 2*t^4.37 + t^4.42 + t^4.48 + t^4.83 + t^4.84 + t^4.88 + t^4.9 + t^4.94 + t^4.95 + t^5.15 + t^5.2 + t^5.36 + t^5.41 + t^5.43 + 2*t^5.47 + t^5.68 + t^5.73 + t^5.79 + t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail |