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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4221 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_8\phi_1^2$ | 0.6563 | 0.8167 | 0.8036 | [X:[], M:[1.1808, 1.0763, 0.976, 0.8192, 0.7189, 0.8715, 1.024, 1.0763], q:[0.7691, 0.3595], qb:[0.4597, 0.5643], phi:[0.4619]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-2], [-10], [-4]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_4$, $ M_6$, $ M_7$, $ M_2$, $ M_8$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_5M_7$, $ M_2M_5$, $ M_5M_8$, $ M_4M_7$, $ M_2M_4$, $ M_6M_7$, $ M_4M_8$, $ M_2M_6$, $ M_6M_8$, $ M_5q_1\tilde{q}_1$ | . | -2 | t^2.16 + t^2.46 + t^2.61 + t^3.07 + 2*t^3.23 + t^3.54 + t^3.69 + t^4. + t^4.14 + t^4.16 + t^4.31 + t^4.46 + t^4.61 + 2*t^4.77 + t^4.92 + t^5.07 + 2*t^5.23 + t^5.39 + t^5.53 + 2*t^5.69 + 3*t^5.84 - 2*t^6. + 2*t^6.14 + t^6.16 + 3*t^6.3 + 2*t^6.46 + t^6.47 + t^6.6 + t^6.61 + 2*t^6.76 + t^6.77 + 2*t^6.92 + t^6.93 + t^7.07 + t^7.22 + 3*t^7.23 + 3*t^7.37 + 2*t^7.39 + t^7.53 + t^7.54 + 3*t^7.69 + t^7.83 + 2*t^7.84 + t^7.99 + 2*t^8. + 3*t^8.14 - 3*t^8.16 + t^8.29 + 3*t^8.3 + t^8.31 + 3*t^8.46 + 3*t^8.6 - 3*t^8.61 + t^8.63 + 3*t^8.76 + 5*t^8.92 - t^8.93 - t^4.39/y - t^6.54/y - t^7./y + t^7.16/y + (2*t^7.77)/y + t^8.07/y + (2*t^8.23)/y + (2*t^8.39)/y + t^8.53/y + (3*t^8.69)/y + (3*t^8.84)/y - t^4.39*y - t^6.54*y - t^7.*y + t^7.16*y + 2*t^7.77*y + t^8.07*y + 2*t^8.23*y + 2*t^8.39*y + t^8.53*y + 3*t^8.69*y + 3*t^8.84*y | g1^6*t^2.16 + t^2.46/g1^8 + t^2.61/g1^2 + t^3.07/g1^10 + (2*t^3.23)/g1^4 + g1^8*t^3.54 + t^3.69/g1^12 + t^4. + t^4.14/g1^20 + g1^6*t^4.16 + g1^12*t^4.31 + t^4.46/g1^8 + t^4.61/g1^2 + 2*g1^4*t^4.77 + t^4.92/g1^16 + t^5.07/g1^10 + (2*t^5.23)/g1^4 + g1^2*t^5.39 + t^5.53/g1^18 + (2*t^5.69)/g1^12 + (3*t^5.84)/g1^6 - 2*t^6. + (2*t^6.14)/g1^20 + g1^6*t^6.16 + (3*t^6.3)/g1^14 + (2*t^6.46)/g1^8 + g1^18*t^6.47 + t^6.6/g1^28 + t^6.61/g1^2 + (2*t^6.76)/g1^22 + g1^4*t^6.77 + (2*t^6.92)/g1^16 + g1^10*t^6.93 + t^7.07/g1^10 + t^7.22/g1^30 + (3*t^7.23)/g1^4 + (3*t^7.37)/g1^24 + 2*g1^2*t^7.39 + t^7.53/g1^18 + g1^8*t^7.54 + (3*t^7.69)/g1^12 + t^7.83/g1^32 + (2*t^7.84)/g1^6 + t^7.99/g1^26 + 2*t^8. + (3*t^8.14)/g1^20 - 3*g1^6*t^8.16 + t^8.29/g1^40 + (3*t^8.3)/g1^14 + g1^12*t^8.31 + (3*t^8.46)/g1^8 + (3*t^8.6)/g1^28 - (3*t^8.61)/g1^2 + g1^24*t^8.63 + (3*t^8.76)/g1^22 + (5*t^8.92)/g1^16 - g1^10*t^8.93 - (g1^2*t^4.39)/y - (g1^8*t^6.54)/y - t^7./y + (g1^6*t^7.16)/y + (2*g1^4*t^7.77)/y + t^8.07/(g1^10*y) + (2*t^8.23)/(g1^4*y) + (2*g1^2*t^8.39)/y + t^8.53/(g1^18*y) + (3*t^8.69)/(g1^12*y) + (3*t^8.84)/(g1^6*y) - g1^2*t^4.39*y - g1^8*t^6.54*y - t^7.*y + g1^6*t^7.16*y + 2*g1^4*t^7.77*y + (t^8.07*y)/g1^10 + (2*t^8.23*y)/g1^4 + 2*g1^2*t^8.39*y + (t^8.53*y)/g1^18 + (3*t^8.69*y)/g1^12 + (3*t^8.84*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
2218 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_7$ | 0.6635 | 0.8279 | 0.8015 | [X:[], M:[1.1701, 1.0816, 0.9627, 0.8299, 0.7109, 0.8741, 1.0373], q:[0.7704, 0.3555], qb:[0.4744, 0.5629], phi:[0.4592]] | t^2.13 + t^2.49 + t^2.62 + t^2.76 + t^3.11 + t^3.24 + t^3.51 + t^3.73 + t^4. + t^4.13 + t^4.22 + t^4.27 + t^4.49 + t^4.62 + 2*t^4.76 + t^4.89 + t^4.98 + t^5.11 + 3*t^5.24 + t^5.38 + t^5.51 + t^5.6 + t^5.73 + 3*t^5.87 - t^6. - t^4.38/y - t^4.38*y | detail |