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 |
---|---|---|---|---|---|---|---|---|---|
667 | 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7056 | 0.8857 | 0.7967 | [X:[], M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-1, -1], [3, 1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_5^2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_1M_6$, $ M_2M_4$, $ M_2M_5$, $ M_2M_6$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | -2 | t^2.03 + 2*t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.97 + 2*t^4.07 + 4*t^4.37 + 4*t^4.68 + t^4.78 + 4*t^4.98 + 5*t^5.29 + t^5.39 + 2*t^5.69 + 3*t^5.9 - 2*t^6. + 2*t^6.1 + 4*t^6.31 + 4*t^6.41 + t^6.61 + 8*t^6.71 + t^6.81 + 2*t^6.92 + 8*t^7.02 + 2*t^7.12 + 7*t^7.32 + 2*t^7.42 + 6*t^7.63 + 2*t^7.73 + 6*t^7.93 - t^8.03 + 3*t^8.13 + 6*t^8.24 - 4*t^8.34 + 4*t^8.44 + 3*t^8.64 + 8*t^8.74 + 6*t^8.85 - 6*t^8.95 - t^4.32/y - t^6.36/y - (2*t^6.66)/y - (2*t^7.27)/y + (4*t^7.37)/y + (2*t^7.68)/y + (6*t^7.98)/y + (5*t^8.29)/y + (2*t^8.59)/y + t^8.9/y - t^4.32*y - t^6.36*y - 2*t^6.66*y - 2*t^7.27*y + 4*t^7.37*y + 2*t^7.68*y + 6*t^7.98*y + 5*t^8.29*y + 2*t^8.59*y + t^8.9*y | g1^6*t^2.03 + t^2.34/(g1*g2) + g1^3*g2*t^2.34 + t^2.64/g1^4 + t^2.95/(g1^11*g2) + (g2*t^2.95)/g1^7 + g1^4*t^3.36 + t^3.97/(g1^10*g2^2) + (g2^2*t^3.97)/g1^2 + 2*g1^12*t^4.07 + (2*g1^5*t^4.37)/g2 + 2*g1^9*g2*t^4.37 + 2*g1^2*t^4.68 + t^4.68/(g1^2*g2^2) + g1^6*g2^2*t^4.68 + g1^20*t^4.78 + (2*t^4.98)/(g1^5*g2) + (2*g2*t^4.98)/g1 + (3*t^5.29)/g1^8 + t^5.29/(g1^12*g2^2) + (g2^2*t^5.29)/g1^4 + g1^10*t^5.39 + (g1^3*t^5.69)/g2 + g1^7*g2*t^5.69 + t^5.9/g1^18 + t^5.9/(g1^22*g2^2) + (g2^2*t^5.9)/g1^14 - 2*t^6. + 2*g1^18*t^6.1 + t^6.31/(g1^11*g2^3) + t^6.31/(g1^7*g2) + (g2*t^6.31)/g1^3 + g1*g2^3*t^6.31 + (2*g1^11*t^6.41)/g2 + 2*g1^15*g2*t^6.41 - t^6.61/g1^10 + t^6.61/(g1^14*g2^2) + (g2^2*t^6.61)/g1^6 + 4*g1^8*t^6.71 + (2*g1^4*t^6.71)/g2^2 + 2*g1^12*g2^2*t^6.71 + g1^26*t^6.81 + t^6.92/(g1^21*g2^3) + (g2^3*t^6.92)/g1^9 + t^7.02/(g1^3*g2^3) + (3*g1*t^7.02)/g2 + 3*g1^5*g2*t^7.02 + g1^9*g2^3*t^7.02 + (g1^19*t^7.12)/g2 + g1^23*g2*t^7.12 + (3*t^7.32)/g1^2 + (2*t^7.32)/(g1^6*g2^2) + 2*g1^2*g2^2*t^7.32 + 2*g1^16*t^7.42 + t^7.63/(g1^13*g2^3) + (2*t^7.63)/(g1^9*g2) + (2*g2*t^7.63)/g1^5 + (g2^3*t^7.63)/g1 + (g1^9*t^7.73)/g2 + g1^13*g2*t^7.73 + (2*t^7.93)/g1^12 + t^7.93/(g1^20*g2^4) + t^7.93/(g1^16*g2^2) + (g2^2*t^7.93)/g1^8 + (g2^4*t^7.93)/g1^4 - 3*g1^6*t^8.03 + (g1^2*t^8.03)/g2^2 + g1^10*g2^2*t^8.03 + 3*g1^24*t^8.13 + t^8.24/(g1^23*g2^3) + (2*t^8.24)/(g1^19*g2) + (2*g2*t^8.24)/g1^15 + (g2^3*t^8.24)/g1^11 + t^8.34/(g1^5*g2^3) - (3*t^8.34)/(g1*g2) - 3*g1^3*g2*t^8.34 + g1^7*g2^3*t^8.34 + (2*g1^17*t^8.44)/g2 + 2*g1^21*g2*t^8.44 - t^8.64/g1^4 + t^8.64/(g1^12*g2^4) + t^8.64/(g1^8*g2^2) + g2^2*t^8.64 + g1^4*g2^4*t^8.64 + 2*g1^14*t^8.74 + (3*g1^10*t^8.74)/g2^2 + 3*g1^18*g2^2*t^8.74 + 2*g1^32*t^8.85 + t^8.85/(g1^33*g2^3) + t^8.85/(g1^29*g2) + (g2*t^8.85)/g1^25 + (g2^3*t^8.85)/g1^21 + t^8.95/(g1^15*g2^3) - (4*t^8.95)/(g1^11*g2) - (4*g2*t^8.95)/g1^7 + (g2^3*t^8.95)/g1^3 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - t^6.66/(g1^3*g2*y) - (g1*g2*t^6.66)/y - t^7.27/(g1^13*g2*y) - (g2*t^7.27)/(g1^9*y) + (2*g1^5*t^7.37)/(g2*y) + (2*g1^9*g2*t^7.37)/y + (2*g1^2*t^7.68)/y + (3*t^7.98)/(g1^5*g2*y) + (3*g2*t^7.98)/(g1*y) + (3*t^8.29)/(g1^8*y) + t^8.29/(g1^12*g2^2*y) + (g2^2*t^8.29)/(g1^4*y) + t^8.59/(g1^15*g2*y) + (g2*t^8.59)/(g1^11*y) + t^8.9/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (t^6.66*y)/(g1^3*g2) - g1*g2*t^6.66*y - (t^7.27*y)/(g1^13*g2) - (g2*t^7.27*y)/g1^9 + (2*g1^5*t^7.37*y)/g2 + 2*g1^9*g2*t^7.37*y + 2*g1^2*t^7.68*y + (3*t^7.98*y)/(g1^5*g2) + (3*g2*t^7.98*y)/g1 + (3*t^8.29*y)/g1^8 + (t^8.29*y)/(g1^12*g2^2) + (g2^2*t^8.29*y)/g1^4 + (t^8.59*y)/(g1^15*g2) + (g2*t^8.59*y)/g1^11 + (t^8.9*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
1073 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_2M_5$ | 0.6895 | 0.8678 | 0.7945 | [X:[], M:[0.8529, 1.1471, 0.9853, 0.7206, 0.8529, 0.7206], q:[0.7868, 0.4927], qb:[0.6544, 0.3603], phi:[0.4265]] | 2*t^2.16 + 3*t^2.56 + t^2.96 + 2*t^3.44 + t^4.24 + 5*t^4.32 + 7*t^4.72 + 7*t^5.12 + t^5.21 + 2*t^5.51 + 3*t^5.6 + t^5.91 + 2*t^6. - t^4.28/y - t^4.28*y | detail | |
1074 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7264 | 0.927 | 0.7837 | [X:[], M:[0.9825, 1.1181, 0.986, 0.6772, 0.7813, 0.7778, 0.6737], q:[0.7795, 0.4427], qb:[0.5748, 0.4392], phi:[0.4409]] | t^2.02 + t^2.03 + t^2.33 + t^2.34 + t^2.65 + t^2.95 + t^2.96 + t^3.35 + t^3.96 + t^4.04 + t^4.05 + 2*t^4.06 + t^4.35 + 3*t^4.36 + 2*t^4.38 + 2*t^4.67 + 2*t^4.68 + t^4.69 + t^4.77 + t^4.97 + 3*t^4.98 + 2*t^4.99 + t^5.28 + 3*t^5.29 + t^5.3 + t^5.38 + t^5.39 + t^5.69 + t^5.7 + t^5.9 + t^5.91 + t^5.92 + t^5.98 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
412 | 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6883 | 0.8554 | 0.8047 | [X:[], M:[0.9936, 1.1195, 0.9686, 0.6793, 0.7674], q:[0.7799, 0.4277], qb:[0.5787, 0.4528], phi:[0.4402]] | t^2.04 + t^2.3 + t^2.64 + t^2.91 + t^2.98 + t^3.36 + t^3.62 + t^3.89 + t^4.04 + 2*t^4.08 + 2*t^4.34 + t^4.42 + t^4.6 + t^4.68 + t^4.79 + 2*t^4.94 + t^5.02 + t^5.21 + 2*t^5.28 + t^5.4 + 2*t^5.66 + t^5.81 + t^5.89 + t^5.92 + t^5.96 - 2*t^6. - t^4.32/y - t^4.32*y | detail |