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 |
---|---|---|---|---|---|---|---|---|---|
46335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ | 0.6052 | 0.7542 | 0.8024 | [X:[], M:[1.0, 1.0, 0.7685, 0.7685], q:[0.5764, 0.4236], qb:[0.4236, 1.0393], phi:[0.3843]] | [X:[], M:[[1, -3], [-1, 3], [-2, 2], [2, -10]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_2M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$ | $M_1^2$, $ M_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$ | 1 | 3*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + 6*t^4.61 + 4*t^4.85 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^6. + t^6.24 - 2*t^6.46 + 4*t^6.69 + 10*t^6.92 + 2*t^6.93 + 5*t^7.15 + 4*t^7.39 + 6*t^7.61 + t^7.62 + 2*t^7.85 + 2*t^8.08 - 3*t^8.31 - 2*t^8.54 - 4*t^8.76 + 4*t^8.78 - t^4.15/y - (3*t^6.46)/y + (3*t^7.61)/y + (6*t^7.85)/y + (6*t^8.31)/y + (2*t^8.54)/y - (6*t^8.76)/y - t^4.15*y - 3*t^6.46*y + 3*t^7.61*y + 6*t^7.85*y + 6*t^8.31*y + 2*t^8.54*y - 6*t^8.76*y | (g1^2*t^2.31)/g2^10 + t^2.31/g2^4 + (g2^2*t^2.31)/g1^2 + g2^6*t^2.54 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^4*t^3.69 + g1*g2^5*t^4.39 + (g2^11*t^4.39)/g1 + (g1^4*t^4.61)/g2^20 + (g1^2*t^4.61)/g2^14 + (2*t^4.61)/g2^8 + t^4.61/(g1^2*g2^2) + (g2^4*t^4.61)/g1^4 + (g1^2*t^4.85)/g2^4 + 2*g2^2*t^4.85 + (g2^8*t^4.85)/g1^2 + g2^12*t^5.08 + (g1^3*t^5.31)/g2^13 + (g1*t^5.31)/g2^7 + t^5.31/(g1*g2) + (g2^5*t^5.31)/g1^3 + g1*g2^3*t^5.54 + (g2^9*t^5.54)/g1 - t^6. + (g1^2*t^6.)/g2^6 + (g2^6*t^6.)/g1^2 + g2^10*t^6.24 - (g1*t^6.46)/g2^9 - t^6.46/(g1*g2^3) + (g1^3*t^6.69)/g2^5 + g1*g2*t^6.69 + (g2^7*t^6.69)/g1 + (g2^13*t^6.69)/g1^3 + t^6.92/g1^4 + (g1^6*t^6.92)/g2^30 + (g1^4*t^6.92)/g2^24 + (2*g1^2*t^6.92)/g2^18 + (2*t^6.92)/g2^12 + (2*t^6.92)/(g1^2*g2^6) + (g2^6*t^6.92)/g1^6 + g1*g2^11*t^6.93 + (g2^17*t^6.93)/g1 + (g1^4*t^7.15)/g2^14 + (g1^2*t^7.15)/g2^8 + t^7.15/g2^2 + (g2^4*t^7.15)/g1^2 + (g2^10*t^7.15)/g1^4 + g1^2*g2^2*t^7.39 + 2*g2^8*t^7.39 + (g2^14*t^7.39)/g1^2 + (g1^5*t^7.61)/g2^23 + (g1^3*t^7.61)/g2^17 + (g1*t^7.61)/g2^11 + t^7.61/(g1*g2^5) + (g2*t^7.61)/g1^3 + (g2^7*t^7.61)/g1^5 + g2^18*t^7.62 + (g1^3*t^7.85)/g2^7 + (g2^11*t^7.85)/g1^3 + g1*g2^9*t^8.08 + (g2^15*t^8.08)/g1 + (g1^4*t^8.31)/g2^16 - (2*g1^2*t^8.31)/g2^10 - t^8.31/g2^4 - (2*g2^2*t^8.31)/g1^2 + (g2^8*t^8.31)/g1^4 - 2*g2^6*t^8.54 - (g1^3*t^8.76)/g2^19 - (g1*t^8.76)/g2^13 - t^8.76/(g1*g2^7) - t^8.76/(g1^3*g2) + g1^2*g2^10*t^8.78 + 2*g2^16*t^8.78 + (g2^22*t^8.78)/g1^2 - t^4.15/(g2^2*y) - t^6.46/(g1^2*y) - (g1^2*t^6.46)/(g2^12*y) - t^6.46/(g2^6*y) + (g1^2*t^7.61)/(g2^14*y) + t^7.61/(g2^8*y) + t^7.61/(g1^2*g2^2*y) + (2*g1^2*t^7.85)/(g2^4*y) + (2*g2^2*t^7.85)/y + (2*g2^8*t^7.85)/(g1^2*y) + (g1^3*t^8.31)/(g2^13*y) + (2*g1*t^8.31)/(g2^7*y) + (2*t^8.31)/(g1*g2*y) + (g2^5*t^8.31)/(g1^3*y) + (g1*g2^3*t^8.54)/y + (g2^9*t^8.54)/(g1*y) - (g1^4*t^8.76)/(g2^22*y) - (g1^2*t^8.76)/(g2^16*y) - (2*t^8.76)/(g2^10*y) - t^8.76/(g1^2*g2^4*y) - (g2^2*t^8.76)/(g1^4*y) - (t^4.15*y)/g2^2 - (t^6.46*y)/g1^2 - (g1^2*t^6.46*y)/g2^12 - (t^6.46*y)/g2^6 + (g1^2*t^7.61*y)/g2^14 + (t^7.61*y)/g2^8 + (t^7.61*y)/(g1^2*g2^2) + (2*g1^2*t^7.85*y)/g2^4 + 2*g2^2*t^7.85*y + (2*g2^8*t^7.85*y)/g1^2 + (g1^3*t^8.31*y)/g2^13 + (2*g1*t^8.31*y)/g2^7 + (2*t^8.31*y)/(g1*g2) + (g2^5*t^8.31*y)/g1^3 + g1*g2^3*t^8.54*y + (g2^9*t^8.54*y)/g1 - (g1^4*t^8.76*y)/g2^22 - (g1^2*t^8.76*y)/g2^16 - (2*t^8.76*y)/g2^10 - (t^8.76*y)/(g1^2*g2^4) - (g2^2*t^8.76*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
46574 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_5$ | 0.6058 | 0.7557 | 0.8017 | [X:[], M:[1.0133, 0.9867, 0.742, 0.7954, 0.9867], q:[0.5765, 0.4101], qb:[0.4368, 1.0391], phi:[0.3844]] | t^2.23 + t^2.31 + t^2.39 + t^2.54 + 2*t^2.96 + t^3.69 + t^4.35 + t^4.43 + t^4.45 + t^4.53 + 2*t^4.61 + t^4.69 + 2*t^4.77 + 2*t^4.85 + t^4.93 + t^5.08 + 2*t^5.19 + t^5.27 + t^5.35 + 2*t^5.5 + 3*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
46430 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_3^2$ | 0.5734 | 0.7245 | 0.7915 | [X:[], M:[0.9173, 1.0827, 1.0, 0.6692], q:[0.626, 0.4567], qb:[0.2913, 0.9567], phi:[0.4173]] | t^2.01 + t^2.24 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.74 + t^4.02 + t^4.24 + t^4.25 + t^4.49 + t^4.51 + 2*t^4.75 + t^4.76 + t^5. + 2*t^5.01 + t^5.24 + t^5.26 + t^5.49 + 2*t^5.5 + t^5.74 + 2*t^5.75 + t^5.99 - t^4.25/y - t^4.25*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 |
---|---|---|---|---|---|---|---|---|---|
46007 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5883 | 0.7268 | 0.8095 | [X:[], M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |