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 |
---|---|---|---|---|---|---|---|---|---|
2205 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1q_2$ | 0.6997 | 0.8917 | 0.7847 | [X:[], M:[0.9929, 1.0791, 1.1511, 0.8489, 0.6907, 0.7768, 0.6907], q:[0.7698, 0.5395], qb:[0.4675, 0.3814], phi:[0.4605]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-14], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_6^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_4M_6$, $ M_1M_5$, $ M_1M_7$, $ M_4^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_2M_6$, $ M_2M_4$, $ M_3M_6$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_1^2$ | . | -1 | 2*t^2.07 + t^2.33 + t^2.55 + t^2.76 + t^2.98 + t^3.24 + t^3.45 + t^3.71 + 4*t^4.14 + t^4.19 + 3*t^4.4 + 3*t^4.62 + t^4.66 + 2*t^4.83 + t^4.88 + 2*t^5.05 + 2*t^5.09 + 4*t^5.31 + 3*t^5.53 + t^5.57 + 3*t^5.78 + t^5.96 - t^6. + t^6.04 + 6*t^6.22 + 2*t^6.26 + t^6.43 + 5*t^6.47 + t^6.52 + 5*t^6.69 + 4*t^6.73 + 2*t^6.91 + 5*t^6.95 + t^6.99 + 3*t^7.12 + 4*t^7.17 + t^7.21 + 6*t^7.38 + 3*t^7.42 + 5*t^7.6 + 4*t^7.64 + 5*t^7.86 + 2*t^7.9 + 2*t^8.03 - 3*t^8.07 + 3*t^8.11 + 9*t^8.29 + t^8.33 + 2*t^8.37 + 2*t^8.5 + 4*t^8.55 + 3*t^8.59 + 6*t^8.76 + 8*t^8.81 + t^8.85 + t^8.94 - t^8.98 - t^4.38/y - (2*t^6.45)/y - t^6.71/y + t^7.14/y - t^7.36/y + (3*t^7.4)/y + (2*t^7.62)/y + (2*t^7.83)/y + t^7.88/y + (3*t^8.05)/y + t^8.09/y + (6*t^8.31)/y + t^8.57/y + t^8.74/y + (2*t^8.78)/y - t^4.38*y - 2*t^6.45*y - t^6.71*y + t^7.14*y - t^7.36*y + 3*t^7.4*y + 2*t^7.62*y + 2*t^7.83*y + t^7.88*y + 3*t^8.05*y + t^8.09*y + 6*t^8.31*y + t^8.57*y + t^8.74*y + 2*t^8.78*y | 2*g1^3*t^2.07 + t^2.33/g1^14 + t^2.55/g1^5 + g1^4*t^2.76 + g1^13*t^2.98 + t^3.24/g1^4 + g1^5*t^3.45 + t^3.71/g1^12 + 4*g1^6*t^4.14 + t^4.19/g1^20 + (3*t^4.4)/g1^11 + (3*t^4.62)/g1^2 + t^4.66/g1^28 + 2*g1^7*t^4.83 + t^4.88/g1^19 + 2*g1^16*t^5.05 + (2*t^5.09)/g1^10 + (4*t^5.31)/g1 + 3*g1^8*t^5.53 + t^5.57/g1^18 + (3*t^5.78)/g1^9 + g1^26*t^5.96 - t^6. + t^6.04/g1^26 + 6*g1^9*t^6.22 + (2*t^6.26)/g1^17 + g1^18*t^6.43 + (5*t^6.47)/g1^8 + t^6.52/g1^34 + 5*g1*t^6.69 + (4*t^6.73)/g1^25 + 2*g1^10*t^6.91 + (5*t^6.95)/g1^16 + t^6.99/g1^42 + 3*g1^19*t^7.12 + (4*t^7.17)/g1^7 + t^7.21/g1^33 + 6*g1^2*t^7.38 + (3*t^7.42)/g1^24 + 5*g1^11*t^7.6 + (4*t^7.64)/g1^15 + (5*t^7.86)/g1^6 + (2*t^7.9)/g1^32 + 2*g1^29*t^8.03 - 3*g1^3*t^8.07 + (3*t^8.11)/g1^23 + 9*g1^12*t^8.29 + t^8.33/g1^14 + (2*t^8.37)/g1^40 + 2*g1^21*t^8.5 + (4*t^8.55)/g1^5 + (3*t^8.59)/g1^31 + 6*g1^4*t^8.76 + (8*t^8.81)/g1^22 + t^8.85/g1^48 + g1^39*t^8.94 - g1^13*t^8.98 - (g1^2*t^4.38)/y - (2*g1^5*t^6.45)/y - t^6.71/(g1^12*y) + (g1^6*t^7.14)/y - (g1^15*t^7.36)/y + (3*t^7.4)/(g1^11*y) + (2*t^7.62)/(g1^2*y) + (2*g1^7*t^7.83)/y + t^7.88/(g1^19*y) + (3*g1^16*t^8.05)/y + t^8.09/(g1^10*y) + (6*t^8.31)/(g1*y) + t^8.57/(g1^18*y) + (g1^17*t^8.74)/y + (2*t^8.78)/(g1^9*y) - g1^2*t^4.38*y - 2*g1^5*t^6.45*y - (t^6.71*y)/g1^12 + g1^6*t^7.14*y - g1^15*t^7.36*y + (3*t^7.4*y)/g1^11 + (2*t^7.62*y)/g1^2 + 2*g1^7*t^7.83*y + (t^7.88*y)/g1^19 + 3*g1^16*t^8.05*y + (t^8.09*y)/g1^10 + (6*t^8.31*y)/g1 + (t^8.57*y)/g1^18 + g1^17*t^8.74*y + (2*t^8.78*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4202 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.7185 | 0.9256 | 0.7763 | [X:[], M:[0.9769, 1.084, 1.145, 0.855, 0.687, 0.7941, 0.687, 0.7479], q:[0.771, 0.542], qb:[0.4811, 0.374], phi:[0.458]] | 2*t^2.06 + t^2.24 + t^2.38 + t^2.57 + t^2.75 + t^2.93 + t^3.25 + t^3.43 + 4*t^4.12 + t^4.26 + 2*t^4.3 + 3*t^4.44 + t^4.49 + 4*t^4.63 + t^4.76 + 3*t^4.81 + t^4.95 + 3*t^4.99 + 2*t^5.13 + t^5.17 + 4*t^5.31 + 4*t^5.5 + t^5.63 + t^5.68 + t^5.82 + t^5.86 - t^6. - t^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
1139 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.679 | 0.8518 | 0.7972 | [X:[], M:[0.9942, 1.0787, 1.1516, 0.8484, 0.691, 0.7754], q:[0.7697, 0.5393], qb:[0.4664, 0.382], phi:[0.4607]] | t^2.07 + t^2.33 + t^2.55 + t^2.76 + t^2.98 + t^3.24 + t^3.45 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + 2*t^4.4 + 2*t^4.62 + t^4.65 + t^4.84 + t^4.87 + t^5.06 + 2*t^5.09 + 3*t^5.31 + 2*t^5.53 + t^5.56 + 2*t^5.78 + t^5.97 - t^4.38/y - t^4.38*y | detail |