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 |
---|---|---|---|---|---|---|---|---|---|
52654 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6182 | 0.8027 | 0.7701 | [X:[], M:[0.9527, 0.8073, 0.8582, 1.1418, 1.1418, 0.7636], q:[0.7382, 0.3091], qb:[0.4545, 0.4037], phi:[0.5236]] | [X:[], M:[[-4], [26], [-12], [12], [12], [-20]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_6\phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_2M_5$, $ M_2\phi_1q_2^2$ | . | -2 | t^2.14 + 2*t^2.29 + t^2.42 + t^2.86 + t^3.14 + 3*t^3.43 + t^3.86 + t^3.99 + t^4.15 + t^4.28 + t^4.3 + 2*t^4.43 + t^4.56 + 3*t^4.58 + 2*t^4.71 + t^4.84 + t^5. + 2*t^5.15 + 2*t^5.28 + 2*t^5.43 + 3*t^5.56 + 5*t^5.72 + 2*t^5.85 - 2*t^6. + t^6.13 + t^6.15 + 4*t^6.28 + 2*t^6.41 + t^6.44 + 4*t^6.57 + 2*t^6.59 + t^6.7 + 3*t^6.72 + 6*t^6.85 + 4*t^6.87 + t^6.98 + 2*t^7. + 2*t^7.13 + t^7.27 + 2*t^7.29 + 3*t^7.42 + 3*t^7.44 + 2*t^7.57 + 4*t^7.7 + 4*t^7.72 + 3*t^7.85 + 3*t^7.99 + 5*t^8.01 + 2*t^8.14 + t^8.16 + 3*t^8.27 - 4*t^8.29 + 2*t^8.44 + 2*t^8.55 + 4*t^8.57 + t^8.6 + 5*t^8.71 + t^8.73 + 2*t^8.84 + t^8.86 + 3*t^8.88 + 5*t^8.99 - t^4.57/y - t^6.86/y - t^6.99/y + t^7.15/y + (2*t^7.43)/y + t^7.56/y + t^7.58/y + (2*t^7.71)/y + (3*t^8.15)/y + (3*t^8.28)/y + (2*t^8.43)/y + (4*t^8.56)/y + (6*t^8.72)/y + (3*t^8.85)/y - t^4.57*y - t^6.86*y - t^6.99*y + t^7.15*y + 2*t^7.43*y + t^7.56*y + t^7.58*y + 2*t^7.71*y + 3*t^8.15*y + 3*t^8.28*y + 2*t^8.43*y + 4*t^8.56*y + 6*t^8.72*y + 3*t^8.85*y | g1^18*t^2.14 + (2*t^2.29)/g1^20 + g1^26*t^2.42 + t^2.86/g1^4 + g1^4*t^3.14 + 3*g1^12*t^3.43 + t^3.86/g1^18 + g1^28*t^3.99 + t^4.15/g1^10 + g1^36*t^4.28 + t^4.3/g1^48 + (2*t^4.43)/g1^2 + g1^44*t^4.56 + (3*t^4.58)/g1^40 + 2*g1^6*t^4.71 + g1^52*t^4.84 + g1^14*t^5. + (2*t^5.15)/g1^24 + 2*g1^22*t^5.28 + (2*t^5.43)/g1^16 + 3*g1^30*t^5.56 + (5*t^5.72)/g1^8 + 2*g1^38*t^5.85 - 2*t^6. + g1^46*t^6.13 + t^6.15/g1^38 + 4*g1^8*t^6.28 + 2*g1^54*t^6.41 + t^6.44/g1^30 + 4*g1^16*t^6.57 + (2*t^6.59)/g1^68 + g1^62*t^6.7 + (3*t^6.72)/g1^22 + 6*g1^24*t^6.85 + (4*t^6.87)/g1^60 + g1^70*t^6.98 + (2*t^7.)/g1^14 + 2*g1^32*t^7.13 + g1^78*t^7.27 + (2*t^7.29)/g1^6 + 3*g1^40*t^7.42 + (3*t^7.44)/g1^44 + 2*g1^2*t^7.57 + 4*g1^48*t^7.7 + (4*t^7.72)/g1^36 + 3*g1^10*t^7.85 + 3*g1^56*t^7.99 + (5*t^8.01)/g1^28 + 2*g1^18*t^8.14 + t^8.16/g1^66 + 3*g1^64*t^8.27 - (4*t^8.29)/g1^20 + (2*t^8.44)/g1^58 + 2*g1^72*t^8.55 + (4*t^8.57)/g1^12 + t^8.6/g1^96 + 5*g1^34*t^8.71 + t^8.73/g1^50 + 2*g1^80*t^8.84 + t^8.86/g1^4 + (3*t^8.88)/g1^88 + 5*g1^42*t^8.99 - (g1^2*t^4.57)/y - t^6.86/(g1^18*y) - (g1^28*t^6.99)/y + t^7.15/(g1^10*y) + (2*t^7.43)/(g1^2*y) + (g1^44*t^7.56)/y + t^7.58/(g1^40*y) + (2*g1^6*t^7.71)/y + (3*t^8.15)/(g1^24*y) + (3*g1^22*t^8.28)/y + (2*t^8.43)/(g1^16*y) + (4*g1^30*t^8.56)/y + (6*t^8.72)/(g1^8*y) + (3*g1^38*t^8.85)/y - g1^2*t^4.57*y - (t^6.86*y)/g1^18 - g1^28*t^6.99*y + (t^7.15*y)/g1^10 + (2*t^7.43*y)/g1^2 + g1^44*t^7.56*y + (t^7.58*y)/g1^40 + 2*g1^6*t^7.71*y + (3*t^8.15*y)/g1^24 + 3*g1^22*t^8.28*y + (2*t^8.43*y)/g1^16 + 4*g1^30*t^8.56*y + (6*t^8.72*y)/g1^8 + 3*g1^38*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
56451 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_1M_7$ | 0.6138 | 0.7955 | 0.7716 | [X:[], M:[0.9535, 0.8023, 0.8605, 1.1395, 1.1395, 0.7675, 1.0465], q:[0.7384, 0.3081], qb:[0.4593, 0.4012], phi:[0.5233]] | t^2.13 + 2*t^2.3 + t^2.41 + 2*t^3.14 + 3*t^3.42 + t^3.87 + t^3.98 + t^4.15 + t^4.26 + t^4.33 + 2*t^4.43 + t^4.53 + 3*t^4.6 + 2*t^4.71 + t^4.81 + 2*t^5.27 + 4*t^5.44 + 4*t^5.55 + 4*t^5.72 + 2*t^5.83 - 3*t^6. - t^4.57/y - t^4.57*y | detail | |
56452 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6385 | 0.8413 | 0.759 | [X:[], M:[0.9536, 0.8019, 0.8607, 1.1393, 1.1393, 0.7678, 0.709], q:[0.7384, 0.308], qb:[0.4598, 0.4009], phi:[0.5232]] | 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^3.98 + t^4.15 + 3*t^4.25 + t^4.33 + 4*t^4.43 + 2*t^4.53 + 3*t^4.61 + 2*t^4.71 + t^4.81 + 2*t^4.99 + 2*t^5.16 + 3*t^5.27 + 2*t^5.44 + 6*t^5.54 + 5*t^5.72 + 2*t^5.82 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
47262 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ | 0.6 | 0.7706 | 0.7786 | [X:[], M:[0.9549, 0.7934, 0.8646, 1.1354, 1.1354], q:[0.7387, 0.3064], qb:[0.4679, 0.3967], phi:[0.5226]] | t^2.11 + t^2.32 + t^2.38 + t^2.86 + t^3.14 + 3*t^3.41 + t^3.68 + t^3.89 + t^3.95 + t^4.16 + t^4.22 + t^4.37 + t^4.43 + t^4.49 + t^4.65 + t^4.7 + t^4.76 + t^4.97 + t^5.19 + 2*t^5.24 + t^5.46 + 3*t^5.52 + 2*t^5.73 + 3*t^5.79 - t^6. - t^4.57/y - t^4.57*y | detail |