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 |
---|---|---|---|---|---|---|---|---|---|
51268 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6775 | 0.8668 | 0.7816 | [X:[], M:[0.7647, 1.147, 0.853, 0.6764, 0.6764, 0.7647], q:[0.853, 0.3823], qb:[0.4706, 0.7647], phi:[0.3823]] | [X:[], M:[[2], [3], [-3], [7], [7], [2]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_4$, $ M_1M_5$, $ M_4M_6$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_6$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_2M_5$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_1M_2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$ | 0 | 2*t^2.03 + 3*t^2.29 + t^2.56 + 2*t^3.44 + t^3.71 + 3*t^4.06 + 6*t^4.32 + 8*t^4.59 + 4*t^4.85 + t^5.12 + 4*t^5.47 + 6*t^5.74 + 4*t^6.09 - t^6.26 + 9*t^6.35 + 15*t^6.62 + 19*t^6.88 + 7*t^7.15 - 2*t^7.41 + 6*t^7.5 - t^7.68 + 11*t^7.76 + 6*t^8.03 + 5*t^8.12 - 6*t^8.29 + 12*t^8.38 - 9*t^8.56 + 22*t^8.65 - 3*t^8.82 + 34*t^8.91 - t^4.15/y - (2*t^6.18)/y - (3*t^6.44)/y + t^7.06/y + (6*t^7.32)/y + (5*t^7.59)/y + (6*t^7.85)/y + (2*t^8.12)/y - (3*t^8.21)/y - (2*t^8.47)/y + (2*t^8.74)/y - t^4.15*y - 2*t^6.18*y - 3*t^6.44*y + t^7.06*y + 6*t^7.32*y + 5*t^7.59*y + 6*t^7.85*y + 2*t^8.12*y - 3*t^8.21*y - 2*t^8.47*y + 2*t^8.74*y | 2*g1^7*t^2.03 + 3*g1^2*t^2.29 + t^2.56/g1^3 + 2*g1^3*t^3.44 + t^3.71/g1^2 + 3*g1^14*t^4.06 + 6*g1^9*t^4.32 + 8*g1^4*t^4.59 + (4*t^4.85)/g1 + t^5.12/g1^6 + 4*g1^10*t^5.47 + 6*g1^5*t^5.74 + 4*g1^21*t^6.09 - t^6.26/g1^5 + 9*g1^16*t^6.35 + 15*g1^11*t^6.62 + 19*g1^6*t^6.88 + 7*g1*t^7.15 - (2*t^7.41)/g1^4 + 6*g1^17*t^7.5 - t^7.68/g1^9 + 11*g1^12*t^7.76 + 6*g1^7*t^8.03 + 5*g1^28*t^8.12 - 6*g1^2*t^8.29 + 12*g1^23*t^8.38 - (9*t^8.56)/g1^3 + 22*g1^18*t^8.65 - (3*t^8.82)/g1^8 + 34*g1^13*t^8.91 - (g1*t^4.15)/y - (2*g1^8*t^6.18)/y - (3*g1^3*t^6.44)/y + (g1^14*t^7.06)/y + (6*g1^9*t^7.32)/y + (5*g1^4*t^7.59)/y + (6*t^7.85)/(g1*y) + (2*t^8.12)/(g1^6*y) - (3*g1^15*t^8.21)/y - (2*g1^10*t^8.47)/y + (2*g1^5*t^8.74)/y - g1*t^4.15*y - 2*g1^8*t^6.18*y - 3*g1^3*t^6.44*y + g1^14*t^7.06*y + 6*g1^9*t^7.32*y + 5*g1^4*t^7.59*y + (6*t^7.85*y)/g1 + (2*t^8.12*y)/g1^6 - 3*g1^15*t^8.21*y - 2*g1^10*t^8.47*y + 2*g1^5*t^8.74*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 |
---|---|---|---|---|---|---|---|---|
56233 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6906 | 0.8877 | 0.778 | [X:[], M:[0.7693, 1.1539, 0.8461, 0.6924, 0.6924, 0.7693, 0.8461], q:[0.8461, 0.3846], qb:[0.4615, 0.7693], phi:[0.3846]] | 2*t^2.08 + 3*t^2.31 + 2*t^2.54 + t^3.46 + t^3.69 + 3*t^4.15 + 6*t^4.38 + 10*t^4.62 + 7*t^4.85 + 3*t^5.08 + 2*t^5.54 + 3*t^5.77 - t^4.15/y - t^4.15*y | detail | |
56235 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6959 | 0.9008 | 0.7725 | [X:[], M:[0.7628, 1.1442, 0.8558, 0.6699, 0.6699, 0.7628, 0.7628], q:[0.8558, 0.3814], qb:[0.4744, 0.7628], phi:[0.3814]] | 2*t^2.01 + 4*t^2.29 + t^2.57 + 2*t^3.43 + 3*t^4.02 + 8*t^4.3 + 12*t^4.58 + 5*t^4.86 + t^5.13 + 4*t^5.44 + 6*t^5.72 - 3*t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
48240 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_1$ | 0.6591 | 0.8331 | 0.7912 | [X:[], M:[0.7667, 1.15, 0.85, 0.6833, 0.6833], q:[0.85, 0.3833], qb:[0.4667, 0.7667], phi:[0.3833]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. - t^4.15/y - t^4.15*y | detail |