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 |
---|---|---|---|---|---|---|---|---|---|
45911 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ | 0.6314 | 0.7921 | 0.7972 | [X:[], M:[1.1301, 0.7994], q:[0.75, 0.4506], qb:[0.3801, 0.4193], phi:[0.5]] | [X:[], M:[[1, 0], [1, 1]], 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 |
---|---|---|---|---|
$M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -2 | 2*t^2.4 + t^2.49 + t^3. + 2*t^3.39 + t^3.51 + t^3.78 + t^3.9 + t^3.99 + t^4.02 + t^4.11 + t^4.2 + 3*t^4.8 + 2*t^4.89 + t^4.98 + 2*t^5.4 + t^5.49 + 3*t^5.79 + t^5.88 + t^5.91 - 2*t^6. - t^6.09 - t^6.12 + 2*t^6.18 - t^6.21 + t^6.27 + 2*t^6.3 + 3*t^6.39 + 2*t^6.41 + t^6.48 + 2*t^6.51 + t^6.6 + t^6.7 + 3*t^6.78 + t^6.9 - t^6.99 + t^7.02 - t^7.11 + 2*t^7.17 + 4*t^7.19 + 4*t^7.29 + 2*t^7.38 + t^7.41 + t^7.48 - t^7.5 + t^7.52 + t^7.56 - t^7.62 + t^7.68 - t^7.71 + t^7.77 + 4*t^7.8 + 2*t^7.89 + t^7.91 + 2*t^7.98 + t^8.03 + t^8.13 + 4*t^8.19 + t^8.2 + t^8.22 + t^8.28 + t^8.3 + t^8.31 + t^8.37 - 5*t^8.4 + t^8.41 - 4*t^8.49 - 2*t^8.52 + 3*t^8.58 - t^8.59 - 3*t^8.61 + 2*t^8.67 + 3*t^8.69 - t^8.7 + t^8.76 + 4*t^8.79 + 3*t^8.81 + 2*t^8.88 + 2*t^8.91 + t^8.98 - t^4.5/y - t^6.9/y + t^7.11/y + t^7.8/y + t^7.89/y + t^8.1/y + (2*t^8.4)/y + t^8.49/y + (4*t^8.79)/y + (2*t^8.88)/y + (2*t^8.91)/y - t^4.5*y - t^6.9*y + t^7.11*y + t^7.8*y + t^7.89*y + t^8.1*y + 2*t^8.4*y + t^8.49*y + 4*t^8.79*y + 2*t^8.88*y + 2*t^8.91*y | 2*g1*g2*t^2.4 + t^2.49/g2 + t^3. + 2*g1*t^3.39 + g2*t^3.51 + g1^2*t^3.78 + g1*g2*t^3.9 + t^3.99/g2 + g2^2*t^4.02 + t^4.11/g1 + t^4.2/(g1^2*g2^2) + 3*g1^2*g2^2*t^4.8 + 2*g1*t^4.89 + t^4.98/g2^2 + 2*g1*g2*t^5.4 + t^5.49/g2 + 3*g1^2*g2*t^5.79 + (g1*t^5.88)/g2 + g1*g2^2*t^5.91 - 2*t^6. - t^6.09/(g1*g2^2) - (g2*t^6.12)/g1 + 2*g1^3*g2*t^6.18 - t^6.21/(g1^2*g2) + (g1^2*t^6.27)/g2 + 2*g1^2*g2^2*t^6.3 + 3*g1*t^6.39 + 2*g1*g2^3*t^6.41 + t^6.48/g2^2 + 2*g2*t^6.51 + t^6.6/(g1*g2) + t^6.7/(g1^2*g2^3) + 3*g1^2*t^6.78 + g1*g2*t^6.9 - t^6.99/g2 + g2^2*t^7.02 - t^7.11/g1 + 2*g1^3*t^7.17 + 4*g1^3*g2^3*t^7.19 + 4*g1^2*g2*t^7.29 + (2*g1*t^7.38)/g2 + g1*g2^2*t^7.41 + t^7.48/g2^3 - t^7.5 + g2^3*t^7.52 + g1^4*t^7.56 - (g2*t^7.62)/g1 + g1^3*g2*t^7.68 - t^7.71/(g1^2*g2) + (g1^2*t^7.77)/g2 + 4*g1^2*g2^2*t^7.8 + 2*g1*t^7.89 + g1*g2^3*t^7.91 + (2*t^7.98)/g2^2 + g2^4*t^8.03 + (g2^2*t^8.13)/g1 + 4*g1^3*g2^2*t^8.19 + t^8.2/(g1^2*g2^3) + t^8.22/g1^2 + g1^2*t^8.28 + g1^2*g2^3*t^8.3 + t^8.31/(g1^3*g2^2) + (g1*t^8.37)/g2^2 - 5*g1*g2*t^8.4 + t^8.41/(g1^4*g2^4) - (4*t^8.49)/g2 - 2*g2^2*t^8.52 + 3*g1^4*g2^2*t^8.58 - t^8.59/(g1*g2^3) - (3*t^8.61)/g1 + 2*g1^3*t^8.67 + 3*g1^3*g2^3*t^8.69 - t^8.7/(g1^2*g2^2) + (g1^2*t^8.76)/g2^2 + 4*g1^2*g2*t^8.79 + 3*g1^2*g2^4*t^8.81 + (2*g1*t^8.88)/g2 + 2*g1*g2^2*t^8.91 + t^8.98/g2^3 - t^4.5/y - (g1*g2*t^6.9)/y + t^7.11/(g1*y) + (g1^2*g2^2*t^7.8)/y + (g1*t^7.89)/y + t^8.1/(g1*g2*y) + (2*g1*g2*t^8.4)/y + t^8.49/(g2*y) + (4*g1^2*g2*t^8.79)/y + (2*g1*t^8.88)/(g2*y) + (2*g1*g2^2*t^8.91)/y - t^4.5*y - g1*g2*t^6.9*y + (t^7.11*y)/g1 + g1^2*g2^2*t^7.8*y + g1*t^7.89*y + (t^8.1*y)/(g1*g2) + 2*g1*g2*t^8.4*y + (t^8.49*y)/g2 + 4*g1^2*g2*t^8.79*y + (2*g1*t^8.88*y)/g2 + 2*g1*g2^2*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 |
---|---|---|---|---|---|---|---|---|
46051 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ + $ M_2q_1\tilde{q}_2$ | 0.6309 | 0.7906 | 0.7979 | [X:[], M:[1.1293, 0.8147], q:[0.75, 0.4353], qb:[0.3793, 0.4353], phi:[0.5]] | 3*t^2.44 + t^3. + 2*t^3.39 + t^3.56 + t^3.78 + 2*t^3.94 + 3*t^4.11 + 6*t^4.89 + 3*t^5.44 + 4*t^5.83 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
46019 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6522 | 0.8336 | 0.7824 | [X:[], M:[1.1303, 0.7992, 0.6689], q:[0.75, 0.4508], qb:[0.3803, 0.4189], phi:[0.5]] | t^2.01 + 2*t^2.4 + t^2.49 + t^3. + 2*t^3.39 + t^3.51 + t^3.78 + t^3.9 + 2*t^4.01 + t^4.11 + t^4.21 + 2*t^4.4 + t^4.5 + 3*t^4.79 + 2*t^4.89 + t^4.99 + t^5.01 + 4*t^5.4 + t^5.49 + t^5.51 + 4*t^5.79 + t^5.88 + 2*t^5.9 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
45985 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ + $ M_3q_2\tilde{q}_1$ | 0.6178 | 0.7693 | 0.803 | [X:[], M:[1.1439, 0.7877, 1.1439], q:[0.75, 0.4623], qb:[0.3939, 0.3939], phi:[0.5]] | 2*t^2.36 + t^3. + 4*t^3.43 + 3*t^3.86 + 2*t^4.07 + t^4.27 + 3*t^4.73 + 2*t^5.36 + 6*t^5.79 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
45988 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2q_1q_2$ + $ q_1q_2\tilde{q}_1^2$ | 0.6307 | 0.7901 | 0.7983 | [X:[], M:[1.1499, 0.7999], q:[0.75, 0.4501], qb:[0.3999, 0.3999], phi:[0.5]] | 2*t^2.4 + t^2.55 + t^3. + 3*t^3.45 + 3*t^3.9 + 2*t^4.05 + t^4.2 + 3*t^4.8 + 2*t^4.95 + t^5.1 + 2*t^5.4 + t^5.55 + 4*t^5.85 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
45840 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.3909, 0.4296], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail |