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 |
---|---|---|---|---|---|---|---|---|---|
55263 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_2M_7$ | 0.7097 | 0.8734 | 0.8125 | [X:[], M:[0.9433, 1.048, 0.9608, 0.8561, 1.048, 0.952, 0.952], q:[0.4324, 0.6243], qb:[0.5196, 0.5196], phi:[0.476]] | [X:[], M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-2, -2]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_4M_6$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1^2$, $ M_1M_6$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_3M_6$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_3^2$ | $M_4q_2\tilde{q}_1$ | -5 | t^2.57 + t^2.83 + 3*t^2.86 + t^2.88 + t^3.43 + t^4.02 + 2*t^4.28 + 3*t^4.55 + t^4.6 + 2*t^4.86 + t^5.14 + t^5.17 + t^5.4 + 2*t^5.42 + t^5.45 + t^5.66 + t^5.69 + 7*t^5.71 + t^5.74 + t^5.76 - 5*t^6. - t^6.26 + 2*t^6.29 - t^6.31 - t^6.58 + t^6.59 + 2*t^6.85 + t^6.86 + 3*t^6.88 + t^6.91 + 3*t^7.11 + 5*t^7.14 + 3*t^7.38 + 7*t^7.4 - t^7.43 + 2*t^7.45 + t^7.48 - 3*t^7.69 + t^7.7 + 3*t^7.72 + t^7.97 + t^7.98 + 2*t^7.99 - 2*t^8. + t^8.02 + 2*t^8.03 + t^8.05 + t^8.06 + t^8.23 + t^8.25 + 4*t^8.28 + t^8.29 + 2*t^8.31 - t^8.32 + t^8.33 + t^8.49 + t^8.52 + 2*t^8.54 + 9*t^8.57 + t^8.59 + t^8.61 + 2*t^8.62 + t^8.65 - 2*t^8.83 - 15*t^8.86 - 2*t^8.88 - t^4.43/y - t^7./y - t^7.26/y - t^7.28/y - t^7.31/y + t^7.55/y + t^7.57/y + t^7.6/y + t^7.86/y + t^8.4/y + (3*t^8.42)/y + t^8.45/y + (3*t^8.69)/y + (4*t^8.71)/y + (3*t^8.74)/y - t^4.43*y - t^7.*y - t^7.26*y - t^7.28*y - t^7.31*y + t^7.55*y + t^7.57*y + t^7.6*y + t^7.86*y + t^8.4*y + 3*t^8.42*y + t^8.45*y + 3*t^8.69*y + 4*t^8.71*y + 3*t^8.74*y | t^2.57/(g1^6*g2^6) + (g2^8*t^2.83)/g1^4 + (3*t^2.86)/(g1^2*g2^2) + t^2.88/g2^12 + g1^6*g2^6*t^3.43 + t^4.02/(g1^5*g2^17) + (2*t^4.28)/(g1^3*g2^3) + (3*g2^11*t^4.55)/g1 + (g1^3*t^4.6)/g2^9 + 2*g1^5*g2^5*t^4.86 + t^5.14/(g1^12*g2^12) + (g1^11*t^5.17)/g2 + (g2^2*t^5.4)/g1^10 + (2*t^5.42)/(g1^8*g2^8) + t^5.45/(g1^6*g2^18) + (g2^16*t^5.66)/g1^8 + (g2^6*t^5.69)/g1^6 + (7*t^5.71)/(g1^4*g2^4) + t^5.74/(g1^2*g2^14) + t^5.76/g2^24 - 5*t^6. - g1^2*g2^14*t^6.26 + 2*g1^4*g2^4*t^6.29 - (g1^6*t^6.31)/g2^6 - g1^8*g2^8*t^6.58 + t^6.59/(g1^11*g2^23) + (2*t^6.85)/(g1^9*g2^9) + g1^12*g2^12*t^6.86 + (3*t^6.88)/(g1^7*g2^19) + t^6.91/(g1^5*g2^29) + (3*g2^5*t^7.11)/g1^7 + (5*t^7.14)/(g1^5*g2^5) + (3*g2^19*t^7.38)/g1^5 + (7*g2^9*t^7.4)/g1^3 - t^7.43/(g1*g2) + (2*g1*t^7.45)/g2^11 + (g1^3*t^7.48)/g2^21 - 3*g1*g2^13*t^7.69 + t^7.7/(g1^18*g2^18) + 3*g1^3*g2^3*t^7.72 + t^7.97/(g1^16*g2^4) + g1^5*g2^17*t^7.98 + (2*t^7.99)/(g1^14*g2^14) - 2*g1^7*g2^7*t^8. + t^8.02/(g1^12*g2^24) + (2*g1^9*t^8.03)/g2^3 + t^8.05/(g1^10*g2^34) + (g1^11*t^8.06)/g2^13 + (g2^10*t^8.23)/g1^14 + t^8.25/g1^12 + (4*t^8.28)/(g1^10*g2^10) + g1^11*g2^11*t^8.29 + (2*t^8.31)/(g1^8*g2^20) - g1^13*g2*t^8.32 + t^8.33/(g1^6*g2^30) + (g2^24*t^8.49)/g1^12 + (g2^14*t^8.52)/g1^10 + (2*g2^4*t^8.54)/g1^8 + (9*t^8.57)/(g1^6*g2^6) + t^8.59/(g1^4*g2^16) + g1^17*g2^5*t^8.61 + (2*t^8.62)/(g1^2*g2^26) + t^8.65/g2^36 - (2*g2^8*t^8.83)/g1^4 - (15*t^8.86)/(g1^2*g2^2) - (2*t^8.88)/g2^12 - t^4.43/(g1*g2*y) - t^7./(g1^7*g2^7*y) - (g2^7*t^7.26)/(g1^5*y) - t^7.28/(g1^3*g2^3*y) - t^7.31/(g1*g2^13*y) + (g2^11*t^7.55)/(g1*y) + (g1*g2*t^7.57)/y + (g1^3*t^7.6)/(g2^9*y) + (g1^5*g2^5*t^7.86)/y + (g2^2*t^8.4)/(g1^10*y) + (3*t^8.42)/(g1^8*g2^8*y) + t^8.45/(g1^6*g2^18*y) + (3*g2^6*t^8.69)/(g1^6*y) + (4*t^8.71)/(g1^4*g2^4*y) + (3*t^8.74)/(g1^2*g2^14*y) - (t^4.43*y)/(g1*g2) - (t^7.*y)/(g1^7*g2^7) - (g2^7*t^7.26*y)/g1^5 - (t^7.28*y)/(g1^3*g2^3) - (t^7.31*y)/(g1*g2^13) + (g2^11*t^7.55*y)/g1 + g1*g2*t^7.57*y + (g1^3*t^7.6*y)/g2^9 + g1^5*g2^5*t^7.86*y + (g2^2*t^8.4*y)/g1^10 + (3*t^8.42*y)/(g1^8*g2^8) + (t^8.45*y)/(g1^6*g2^18) + (3*g2^6*t^8.69*y)/g1^6 + (4*t^8.71*y)/(g1^4*g2^4) + (3*t^8.74*y)/(g1^2*g2^14) |
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 |
---|---|---|---|---|---|---|---|---|
56917 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_2M_7$ + $ M_1M_6$ | 0.7036 | 0.8648 | 0.8137 | [X:[], M:[1.0314, 1.0314, 0.9059, 0.9059, 1.0314, 0.9686, 0.9686], q:[0.4216, 0.5471], qb:[0.5471, 0.5471], phi:[0.4843]] | 2*t^2.72 + 3*t^2.91 + t^3.09 + t^3.28 + t^3.98 + 3*t^4.36 + 6*t^4.74 + 3*t^5.44 + 3*t^5.62 + 8*t^5.81 - 5*t^6. - t^4.45/y - t^4.45*y | detail | |
56920 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_2M_7$ + $ M_3M_6$ | 0.7046 | 0.8664 | 0.8133 | [X:[], M:[0.8944, 1.0352, 1.0352, 0.8944, 1.0352, 0.9648, 0.9648], q:[0.4824, 0.6233], qb:[0.4824, 0.4824], phi:[0.4824]] | 2*t^2.68 + 3*t^2.89 + t^3.11 + t^3.32 + 6*t^4.34 + 3*t^4.76 + t^5.19 + 3*t^5.37 + 3*t^5.58 + 8*t^5.79 - 5*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
46804 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.62 + t^2.85 + 2*t^2.87 + t^2.89 + t^3.13 + t^3.38 + t^4.08 + 2*t^4.31 + 3*t^4.54 + t^4.58 + 2*t^4.82 + t^5.09 + t^5.24 + t^5.47 + t^5.49 + t^5.51 + t^5.71 + 5*t^5.75 + t^5.79 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail |