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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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]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-2], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_4M_7$, $ M_2M_4$, $ M_6M_7$, $ M_2M_6$, $ M_7\phi_1^2$, $ M_5q_1\tilde{q}_1$ | . | -1 | 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^6.13 + 2*t^6.22 + t^6.27 + 2*t^6.36 + t^6.4 + t^6.49 + t^6.62 + t^6.71 + t^6.76 + 2*t^6.85 + 2*t^6.89 + 2*t^6.98 + t^7.02 + t^7.11 + 3*t^7.24 + t^7.34 + 2*t^7.38 + 2*t^7.47 + 2*t^7.51 + t^7.6 + t^7.64 + 3*t^7.73 + 2*t^7.87 + t^7.96 + 3*t^8. + t^8.09 - 2*t^8.13 + 2*t^8.22 + 2*t^8.27 + 3*t^8.36 + t^8.45 + 2*t^8.49 + t^8.53 - t^8.62 + 3*t^8.71 - t^8.76 + 2*t^8.85 + 5*t^8.98 - t^4.38/y - t^6.51/y - t^7./y + t^7.62/y + (2*t^7.76)/y + t^7.89/y + t^8.11/y + (3*t^8.24)/y + (2*t^8.38)/y + t^8.6/y + (2*t^8.73)/y + (3*t^8.87)/y - t^4.38*y - t^6.51*y - t^7.*y + t^7.62*y + 2*t^7.76*y + t^7.89*y + t^8.11*y + 3*t^8.24*y + 2*t^8.38*y + t^8.6*y + 2*t^8.73*y + 3*t^8.87*y | g1^6*t^2.13 + t^2.49/g1^8 + t^2.62/g1^2 + g1^4*t^2.76 + t^3.11/g1^10 + t^3.24/g1^4 + g1^8*t^3.51 + t^3.73/g1^12 + t^4. + g1^6*t^4.13 + t^4.22/g1^20 + g1^12*t^4.27 + t^4.49/g1^8 + t^4.62/g1^2 + 2*g1^4*t^4.76 + g1^10*t^4.89 + t^4.98/g1^16 + t^5.11/g1^10 + (3*t^5.24)/g1^4 + g1^2*t^5.38 + g1^8*t^5.51 + t^5.6/g1^18 + t^5.73/g1^12 + (3*t^5.87)/g1^6 - t^6. + g1^6*t^6.13 + (2*t^6.22)/g1^20 + g1^12*t^6.27 + (2*t^6.36)/g1^14 + g1^18*t^6.4 + t^6.49/g1^8 + t^6.62/g1^2 + t^6.71/g1^28 + g1^4*t^6.76 + (2*t^6.85)/g1^22 + 2*g1^10*t^6.89 + (2*t^6.98)/g1^16 + g1^16*t^7.02 + t^7.11/g1^10 + (3*t^7.24)/g1^4 + t^7.34/g1^30 + 2*g1^2*t^7.38 + (2*t^7.47)/g1^24 + 2*g1^8*t^7.51 + t^7.6/g1^18 + g1^14*t^7.64 + (3*t^7.73)/g1^12 + (2*t^7.87)/g1^6 + t^7.96/g1^32 + 3*t^8. + t^8.09/g1^26 - 2*g1^6*t^8.13 + (2*t^8.22)/g1^20 + 2*g1^12*t^8.27 + (3*t^8.36)/g1^14 + t^8.45/g1^40 + (2*t^8.49)/g1^8 + g1^24*t^8.53 - t^8.62/g1^2 + (3*t^8.71)/g1^28 - g1^4*t^8.76 + (2*t^8.85)/g1^22 + (5*t^8.98)/g1^16 - (g1^2*t^4.38)/y - (g1^8*t^6.51)/y - t^7./y + t^7.62/(g1^2*y) + (2*g1^4*t^7.76)/y + (g1^10*t^7.89)/y + t^8.11/(g1^10*y) + (3*t^8.24)/(g1^4*y) + (2*g1^2*t^8.38)/y + t^8.6/(g1^18*y) + (2*t^8.73)/(g1^12*y) + (3*t^8.87)/(g1^6*y) - g1^2*t^4.38*y - g1^8*t^6.51*y - t^7.*y + (t^7.62*y)/g1^2 + 2*g1^4*t^7.76*y + g1^10*t^7.89*y + (t^8.11*y)/g1^10 + (3*t^8.24*y)/g1^4 + 2*g1^2*t^8.38*y + (t^8.6*y)/g1^18 + (2*t^8.73*y)/g1^12 + (3*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
4222 | $\phi_1q_1^2$ + $ 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_2M_8$ | 0.6713 | 0.8402 | 0.7989 | [X:[], M:[1.1594, 1.087, 0.9493, 0.8406, 0.7029, 0.8768, 1.0507, 0.913], q:[0.7717, 0.3515], qb:[0.4891, 0.5616], phi:[0.4565]] | t^2.11 + t^2.52 + t^2.63 + 2*t^2.74 + t^3.15 + t^3.48 + t^3.78 + t^4. + t^4.11 + t^4.22 + t^4.3 + t^4.52 + t^4.63 + 2*t^4.74 + 2*t^4.85 + t^5.04 + t^5.15 + 4*t^5.26 + t^5.37 + 3*t^5.48 + t^5.67 + 3*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
4221 | $\phi_1q_1^2$ + $ 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]] | 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. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
1166 | 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$ | 0.6686 | 0.8353 | 0.8005 | [X:[], M:[1.1423, 1.0955, 0.9278, 0.8577, 0.69, 0.8811], q:[0.7739, 0.345], qb:[0.5127, 0.5595], phi:[0.4522]] | t^2.07 + t^2.57 + t^2.64 + t^2.71 + t^2.78 + t^3.29 + t^3.43 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.43 + t^4.57 + t^4.64 + 2*t^4.71 + t^4.78 + t^4.85 + t^5.15 + t^5.22 + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.57 + 2*t^5.93 - t^6. - t^4.36/y - t^4.36*y | detail |