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 |
---|---|---|---|---|---|---|---|---|---|
1659 | 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_5q_1q_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7264 | 0.9268 | 0.7838 | [X:[], M:[0.9847, 1.1179, 0.9847, 0.6769, 0.7795, 0.7795, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | [X:[], M:[[9], [-4], [9], [-6], [-1], [-1], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_7$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_1$, $ M_4M_5$, $ M_4M_6$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_7$, $ M_3M_7$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_7$, $ M_2M_5$, $ M_2M_6$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$ | -2 | 2*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.95 + t^3.35 + t^3.97 + 4*t^4.06 + 6*t^4.37 + 5*t^4.68 + t^4.77 + 6*t^4.98 + 5*t^5.29 + 2*t^5.38 + 2*t^5.69 + 3*t^5.91 - 2*t^6. + 6*t^6.09 + 2*t^6.31 + 10*t^6.4 + 13*t^6.71 + 2*t^6.8 + 14*t^7.02 + 2*t^7.11 + 11*t^7.32 + 4*t^7.42 + 6*t^7.63 + 4*t^7.72 + 7*t^7.94 - 5*t^8.03 + 9*t^8.12 + 6*t^8.25 - 6*t^8.34 + 14*t^8.43 - t^8.65 + 20*t^8.74 + 4*t^8.83 + 4*t^8.86 - 10*t^8.95 - t^4.32/y - (2*t^6.35)/y - (2*t^6.66)/y + t^7.06/y - (2*t^7.28)/y + (6*t^7.37)/y + (3*t^7.68)/y + (8*t^7.98)/y + (6*t^8.29)/y - t^8.38/y + (2*t^8.6)/y - (2*t^8.69)/y + t^8.91/y - t^4.32*y - 2*t^6.35*y - 2*t^6.66*y + t^7.06*y - 2*t^7.28*y + 6*t^7.37*y + 3*t^7.68*y + 8*t^7.98*y + 6*t^8.29*y - t^8.38*y + 2*t^8.6*y - 2*t^8.69*y + t^8.91*y | (2*t^2.03)/g1^6 + (2*t^2.34)/g1 + g1^4*t^2.65 + 2*g1^9*t^2.95 + t^3.35/g1^4 + g1^6*t^3.97 + (4*t^4.06)/g1^12 + (6*t^4.37)/g1^7 + (5*t^4.68)/g1^2 + t^4.77/g1^20 + 6*g1^3*t^4.98 + 5*g1^8*t^5.29 + (2*t^5.38)/g1^10 + (2*t^5.69)/g1^5 + 3*g1^18*t^5.91 - 2*t^6. + (6*t^6.09)/g1^18 + 2*g1^5*t^6.31 + (10*t^6.4)/g1^13 + (13*t^6.71)/g1^8 + (2*t^6.8)/g1^26 + (14*t^7.02)/g1^3 + (2*t^7.11)/g1^21 + 11*g1^2*t^7.32 + (4*t^7.42)/g1^16 + 6*g1^7*t^7.63 + (4*t^7.72)/g1^11 + 7*g1^12*t^7.94 - (5*t^8.03)/g1^6 + (9*t^8.12)/g1^24 + 6*g1^17*t^8.25 - (6*t^8.34)/g1 + (14*t^8.43)/g1^19 - g1^4*t^8.65 + (20*t^8.74)/g1^14 + (4*t^8.83)/g1^32 + 4*g1^27*t^8.86 - 10*g1^9*t^8.95 - (g1^2*t^4.32)/y - (2*t^6.35)/(g1^4*y) - (2*g1*t^6.66)/y + t^7.06/(g1^12*y) - (2*g1^11*t^7.28)/y + (6*t^7.37)/(g1^7*y) + (3*t^7.68)/(g1^2*y) + (8*g1^3*t^7.98)/y + (6*g1^8*t^8.29)/y - t^8.38/(g1^10*y) + (2*g1^13*t^8.6)/y - (2*t^8.69)/(g1^5*y) + (g1^18*t^8.91)/y - g1^2*t^4.32*y - (2*t^6.35*y)/g1^4 - 2*g1*t^6.66*y + (t^7.06*y)/g1^12 - 2*g1^11*t^7.28*y + (6*t^7.37*y)/g1^7 + (3*t^7.68*y)/g1^2 + 8*g1^3*t^7.98*y + 6*g1^8*t^8.29*y - (t^8.38*y)/g1^10 + 2*g1^13*t^8.6*y - (2*t^8.69*y)/g1^5 + g1^18*t^8.91*y |
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 |
---|---|---|---|---|---|---|---|---|
4055 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7472 | 0.9679 | 0.772 | [X:[], M:[0.9858, 1.1174, 0.9858, 0.6761, 0.7794, 0.7794, 0.6761, 0.6761], q:[0.7794, 0.4413], qb:[0.5729, 0.4413], phi:[0.4413]] | 3*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.96 + t^3.35 + 7*t^4.06 + 8*t^4.37 + 6*t^4.68 + t^4.76 + 8*t^4.99 + 5*t^5.3 + 3*t^5.38 + 2*t^5.69 + 3*t^5.91 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
1066 | 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_5q_1q_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]] | 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. - t^4.32/y - t^4.32*y | detail |