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 |
---|---|---|---|---|---|---|---|---|---|
47143 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6932 | 0.8486 | 0.8169 | [X:[], M:[0.9722, 1.0093, 1.0278, 0.9722, 1.0093], q:[0.4861, 0.5417], qb:[0.5046, 0.4861], phi:[0.4954]] | [X:[], M:[[6], [-2], [-6], [6], [-2]], q:[[3], [-9]], qb:[[-1], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_2M_4$, $ M_1M_5$, $ M_4M_5$, $ \phi_1^4$ | $M_3M_4$ | -2 | 2*t^2.92 + t^2.97 + 2*t^3.03 + t^3.08 + t^3.14 + 3*t^4.4 + 2*t^4.46 + t^4.51 + 2*t^4.57 + t^4.63 + t^4.74 + t^5.83 + t^5.89 + 3*t^5.94 - 2*t^6. + 3*t^6.06 + 2*t^6.11 + t^6.17 + t^6.22 + t^6.28 + 4*t^7.32 + 4*t^7.37 + 4*t^7.43 + 3*t^7.49 + 3*t^7.54 + 3*t^7.6 + 3*t^7.65 + 2*t^7.71 + 2*t^7.76 + t^7.82 + t^7.88 + t^8.75 + 5*t^8.81 + 4*t^8.86 - 4*t^8.92 + 3*t^8.97 - t^4.49/y - t^7.4/y + t^7.46/y - t^7.51/y + t^7.57/y + t^8.83/y + (2*t^8.89)/y + (4*t^8.94)/y - t^4.49*y - t^7.4*y + t^7.46*y - t^7.51*y + t^7.57*y + t^8.83*y + 2*t^8.89*y + 4*t^8.94*y | 2*g1^6*t^2.92 + g1^2*t^2.97 + (2*t^3.03)/g1^2 + t^3.08/g1^6 + t^3.14/g1^10 + 3*g1^7*t^4.4 + 2*g1^3*t^4.46 + t^4.51/g1 + (2*t^4.57)/g1^5 + t^4.63/g1^9 + t^4.74/g1^17 + g1^12*t^5.83 + g1^8*t^5.89 + 3*g1^4*t^5.94 - 2*t^6. + (3*t^6.06)/g1^4 + (2*t^6.11)/g1^8 + t^6.17/g1^12 + t^6.22/g1^16 + t^6.28/g1^20 + 4*g1^13*t^7.32 + 4*g1^9*t^7.37 + 4*g1^5*t^7.43 + 3*g1*t^7.49 + (3*t^7.54)/g1^3 + (3*t^7.6)/g1^7 + (3*t^7.65)/g1^11 + (2*t^7.71)/g1^15 + (2*t^7.76)/g1^19 + t^7.82/g1^23 + t^7.88/g1^27 + g1^18*t^8.75 + 5*g1^14*t^8.81 + 4*g1^10*t^8.86 - 4*g1^6*t^8.92 + 3*g1^2*t^8.97 - (g1*t^4.49)/y - (g1^7*t^7.4)/y + (g1^3*t^7.46)/y - t^7.51/(g1*y) + t^7.57/(g1^5*y) + (g1^12*t^8.83)/y + (2*g1^8*t^8.89)/y + (4*g1^4*t^8.94)/y - g1*t^4.49*y - g1^7*t^7.4*y + g1^3*t^7.46*y - (t^7.51*y)/g1 + (t^7.57*y)/g1^5 + g1^12*t^8.83*y + 2*g1^8*t^8.89*y + 4*g1^4*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
55662 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_3M_6$ | 0.6967 | 0.8545 | 0.8154 | [X:[], M:[0.9514, 1.0162, 1.0486, 0.9514, 1.0162, 0.9514], q:[0.4757, 0.5729], qb:[0.5081, 0.4757], phi:[0.4919]] | 3*t^2.85 + t^2.95 + 2*t^3.05 + t^3.24 + 3*t^4.33 + 2*t^4.43 + t^4.52 + 2*t^4.62 + t^4.72 + t^4.91 + 4*t^5.71 + 2*t^5.81 + 5*t^5.9 - 4*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
46383 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7095 | 0.8721 | 0.8136 | [X:[], M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.56 + t^2.62 + t^2.85 + t^2.92 + t^3.08 + t^3.15 + t^3.21 + t^3.99 + t^4.28 + t^4.34 + t^4.51 + t^4.57 + t^4.64 + t^4.7 + t^4.8 + t^4.87 + t^5.03 + t^5.12 + t^5.19 + t^5.25 + t^5.42 + t^5.48 + t^5.54 + 2*t^5.71 + 2*t^5.77 + t^5.83 - 2*t^6. - t^4.43/y - t^4.43*y | detail |