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 |
---|---|---|---|---|---|---|---|---|---|
1425 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7007 | 0.8617 | 0.8132 | [X:[], M:[0.9356, 1.0215, 1.0644, 0.8927, 1.0, 0.9571], q:[0.5, 0.5644], qb:[0.4356, 0.5429], phi:[0.4893]] | [X:[], M:[[-6], [2], [6], [-10], [0], [-4]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_6$, $ M_1^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1M_6$, $ M_2M_4$, $ M_6^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_6$, $ M_5\phi_1^2$ | . | -1 | t^2.68 + t^2.81 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.19 + t^4.08 + t^4.27 + t^4.4 + 2*t^4.47 + t^4.6 + t^4.66 + t^4.73 + t^4.79 + t^4.85 + t^5.36 + t^5.48 + t^5.55 + t^5.61 + t^5.68 + 3*t^5.74 + 3*t^5.87 + t^5.94 - t^6. + t^6.06 - t^6.19 + t^6.26 - t^6.32 + t^6.76 + t^6.89 + 2*t^6.95 + t^7.02 + 2*t^7.08 + 2*t^7.15 + t^7.21 + 3*t^7.27 + 3*t^7.34 + 2*t^7.4 + 2*t^7.47 + 2*t^7.53 + t^7.6 + 3*t^7.66 + 2*t^7.73 + t^7.85 + t^8.03 + t^8.05 + 2*t^8.16 + t^8.23 + t^8.29 + 2*t^8.36 + 3*t^8.42 + 5*t^8.55 + t^8.61 + 4*t^8.74 - 2*t^8.87 + 2*t^8.94 - t^4.47/y - t^7.15/y - t^7.34/y + t^7.6/y + t^7.79/y + t^8.48/y + t^8.55/y + t^8.61/y + (2*t^8.68)/y + (2*t^8.74)/y + (2*t^8.81)/y + (3*t^8.87)/y + (2*t^8.94)/y - t^4.47*y - t^7.15*y - t^7.34*y + t^7.6*y + t^7.79*y + t^8.48*y + t^8.55*y + t^8.61*y + 2*t^8.68*y + 2*t^8.74*y + 2*t^8.81*y + 3*t^8.87*y + 2*t^8.94*y | t^2.68/g1^10 + t^2.81/g1^6 + t^2.87/g1^4 + t^2.94/g1^2 + t^3. + g1^2*t^3.06 + g1^6*t^3.19 + t^4.08/g1^13 + t^4.27/g1^7 + t^4.4/g1^3 + (2*t^4.47)/g1 + g1^3*t^4.6 + g1^5*t^4.66 + g1^7*t^4.73 + g1^9*t^4.79 + g1^11*t^4.85 + t^5.36/g1^20 + t^5.48/g1^16 + t^5.55/g1^14 + t^5.61/g1^12 + t^5.68/g1^10 + (3*t^5.74)/g1^8 + (3*t^5.87)/g1^4 + t^5.94/g1^2 - t^6. + g1^2*t^6.06 - g1^6*t^6.19 + g1^8*t^6.26 - g1^10*t^6.32 + t^6.76/g1^23 + t^6.89/g1^19 + (2*t^6.95)/g1^17 + t^7.02/g1^15 + (2*t^7.08)/g1^13 + (2*t^7.15)/g1^11 + t^7.21/g1^9 + (3*t^7.27)/g1^7 + (3*t^7.34)/g1^5 + (2*t^7.4)/g1^3 + (2*t^7.47)/g1 + 2*g1*t^7.53 + g1^3*t^7.6 + 3*g1^5*t^7.66 + 2*g1^7*t^7.73 + g1^11*t^7.85 + t^8.03/g1^30 + g1^17*t^8.05 + (2*t^8.16)/g1^26 + t^8.23/g1^24 + t^8.29/g1^22 + (2*t^8.36)/g1^20 + (3*t^8.42)/g1^18 + (5*t^8.55)/g1^14 + t^8.61/g1^12 + (4*t^8.74)/g1^8 - (2*t^8.87)/g1^4 + (2*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.15/(g1^11*y) - t^7.34/(g1^5*y) + (g1^3*t^7.6)/y + (g1^9*t^7.79)/y + t^8.48/(g1^16*y) + t^8.55/(g1^14*y) + t^8.61/(g1^12*y) + (2*t^8.68)/(g1^10*y) + (2*t^8.74)/(g1^8*y) + (2*t^8.81)/(g1^6*y) + (3*t^8.87)/(g1^4*y) + (2*t^8.94)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.15*y)/g1^11 - (t^7.34*y)/g1^5 + g1^3*t^7.6*y + g1^9*t^7.79*y + (t^8.48*y)/g1^16 + (t^8.55*y)/g1^14 + (t^8.61*y)/g1^12 + (2*t^8.68*y)/g1^10 + (2*t^8.74*y)/g1^8 + (2*t^8.81*y)/g1^6 + (3*t^8.87*y)/g1^4 + (2*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
2481 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.7029 | 0.8658 | 0.8118 | [X:[], M:[0.929, 1.0237, 1.071, 0.8816, 1.0, 0.9527, 0.9763], q:[0.5, 0.571], qb:[0.429, 0.5473], phi:[0.4882]] | t^2.64 + t^2.79 + t^2.86 + 2*t^2.93 + t^3. + t^3.21 + t^4.04 + t^4.25 + t^4.39 + 2*t^4.46 + t^4.61 + t^4.68 + t^4.75 + t^4.82 + t^4.89 + t^5.29 + t^5.43 + t^5.5 + 2*t^5.57 + t^5.64 + 3*t^5.72 + t^5.79 + 4*t^5.86 + t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
2479 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.7076 | 0.875 | 0.8086 | [X:[], M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | t^2.59 + 2*t^2.75 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.96 + t^4.21 + t^4.38 + 2*t^4.46 + t^4.62 + t^4.71 + t^4.79 + t^4.87 + t^4.96 + t^5.17 + 2*t^5.34 + t^5.42 + 3*t^5.5 + 2*t^5.59 + 4*t^5.67 + t^5.75 + 3*t^5.83 + t^5.92 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
930 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.75 + t^2.85 + t^2.95 + t^3. + t^3.05 + t^3.1 + t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |