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 |
---|---|---|---|---|---|---|---|---|---|
46967 | 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_5\phi_1\tilde{q}_2^2$ | 0.6331 | 0.8324 | 0.7605 | [X:[], M:[0.9527, 0.8076, 0.858, 1.142, 0.6687], q:[0.7382, 0.3092], qb:[0.4542, 0.4038], phi:[0.5237]] | [X:[], M:[[-4], [26], [-12], [12], [-28]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3M_5$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_2^2$, $ M_1M_5$, $ M_3q_2\tilde{q}_1$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2\tilde{q}_1$ | $M_3M_4$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.01 + t^2.14 + t^2.29 + t^2.42 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^3.86 + t^4.01 + 2*t^4.15 + t^4.28 + 2*t^4.3 + 2*t^4.43 + t^4.56 + 2*t^4.58 + 2*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.15 + 2*t^5.28 + 4*t^5.43 + 2*t^5.56 + 3*t^5.72 + 2*t^5.85 + t^5.87 + t^6. + t^6.02 + t^6.13 + 2*t^6.15 + 3*t^6.28 + 2*t^6.3 + t^6.42 + 3*t^6.44 + 4*t^6.57 + 3*t^6.59 + t^6.7 + 4*t^6.72 + 4*t^6.85 + 4*t^6.87 + t^6.98 + 3*t^7. + 3*t^7.14 + 4*t^7.15 + t^7.27 + 4*t^7.29 + 2*t^7.42 + 6*t^7.44 + 4*t^7.57 + 3*t^7.7 + 6*t^7.72 + 3*t^7.85 + t^7.87 + 2*t^7.99 + 3*t^8.01 + t^8.02 + 2*t^8.14 + 3*t^8.16 + 2*t^8.27 + 3*t^8.29 + 2*t^8.31 + t^8.42 + 4*t^8.44 + 2*t^8.56 + 3*t^8.57 + 4*t^8.59 + 3*t^8.71 + 4*t^8.73 + t^8.84 + 3*t^8.86 + 5*t^8.88 + 4*t^8.99 - t^4.57/y - t^6.58/y - t^6.99/y + t^7.15/y + t^7.3/y + (2*t^7.43)/y + t^7.56/y + t^7.58/y + (2*t^7.71)/y + (2*t^7.86)/y + (2*t^8.)/y + (3*t^8.15)/y + (2*t^8.28)/y + (4*t^8.43)/y + (4*t^8.56)/y - t^8.58/y + (4*t^8.72)/y + (3*t^8.85)/y + t^8.87/y - t^4.57*y - t^6.58*y - t^6.99*y + t^7.15*y + t^7.3*y + 2*t^7.43*y + t^7.56*y + t^7.58*y + 2*t^7.71*y + 2*t^7.86*y + 2*t^8.*y + 3*t^8.15*y + 2*t^8.28*y + 4*t^8.43*y + 4*t^8.56*y - t^8.58*y + 4*t^8.72*y + 3*t^8.85*y + t^8.87*y | t^2.01/g1^28 + g1^18*t^2.14 + t^2.29/g1^20 + g1^26*t^2.42 + t^2.57/g1^12 + t^2.86/g1^4 + g1^4*t^3.14 + 2*g1^12*t^3.43 + g1^20*t^3.71 + t^3.86/g1^18 + t^4.01/g1^56 + (2*t^4.15)/g1^10 + g1^36*t^4.28 + (2*t^4.3)/g1^48 + (2*t^4.43)/g1^2 + g1^44*t^4.56 + (2*t^4.58)/g1^40 + 2*g1^6*t^4.71 + g1^52*t^4.85 + (2*t^4.86)/g1^32 + 2*g1^14*t^5. + (3*t^5.15)/g1^24 + 2*g1^22*t^5.28 + (4*t^5.43)/g1^16 + 2*g1^30*t^5.56 + (3*t^5.72)/g1^8 + 2*g1^38*t^5.85 + t^5.87/g1^46 + t^6. + t^6.02/g1^84 + g1^46*t^6.13 + (2*t^6.15)/g1^38 + 3*g1^8*t^6.28 + (2*t^6.3)/g1^76 + g1^54*t^6.42 + (3*t^6.44)/g1^30 + 4*g1^16*t^6.57 + (3*t^6.59)/g1^68 + g1^62*t^6.7 + (4*t^6.72)/g1^22 + 4*g1^24*t^6.85 + (4*t^6.87)/g1^60 + g1^70*t^6.98 + (3*t^7.)/g1^14 + 3*g1^32*t^7.14 + (4*t^7.15)/g1^52 + g1^78*t^7.27 + (4*t^7.29)/g1^6 + 2*g1^40*t^7.42 + (6*t^7.44)/g1^44 + 4*g1^2*t^7.57 + 3*g1^48*t^7.7 + (6*t^7.72)/g1^36 + 3*g1^10*t^7.85 + t^7.87/g1^74 + 2*g1^56*t^7.99 + (3*t^8.01)/g1^28 + t^8.02/g1^112 + 2*g1^18*t^8.14 + (3*t^8.16)/g1^66 + 2*g1^64*t^8.27 + (3*t^8.29)/g1^20 + (2*t^8.31)/g1^104 + g1^26*t^8.42 + (4*t^8.44)/g1^58 + 2*g1^72*t^8.56 + (3*t^8.57)/g1^12 + (4*t^8.59)/g1^96 + 3*g1^34*t^8.71 + (4*t^8.73)/g1^50 + g1^80*t^8.84 + (3*t^8.86)/g1^4 + (5*t^8.88)/g1^88 + 4*g1^42*t^8.99 - (g1^2*t^4.57)/y - t^6.58/(g1^26*y) - (g1^28*t^6.99)/y + t^7.15/(g1^10*y) + t^7.3/(g1^48*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 + (2*t^7.86)/(g1^32*y) + (2*g1^14*t^8.)/y + (3*t^8.15)/(g1^24*y) + (2*g1^22*t^8.28)/y + (4*t^8.43)/(g1^16*y) + (4*g1^30*t^8.56)/y - t^8.58/(g1^54*y) + (4*t^8.72)/(g1^8*y) + (3*g1^38*t^8.85)/y + t^8.87/(g1^46*y) - g1^2*t^4.57*y - (t^6.58*y)/g1^26 - g1^28*t^6.99*y + (t^7.15*y)/g1^10 + (t^7.3*y)/g1^48 + (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 + (2*t^7.86*y)/g1^32 + 2*g1^14*t^8.*y + (3*t^8.15*y)/g1^24 + 2*g1^22*t^8.28*y + (4*t^8.43*y)/g1^16 + 4*g1^30*t^8.56*y - (t^8.58*y)/g1^54 + (4*t^8.72*y)/g1^8 + 3*g1^38*t^8.85*y + (t^8.87*y)/g1^46 |
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 |
---|---|---|---|---|---|---|---|---|
52545 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ | 0.6208 | 0.8111 | 0.7653 | [X:[], M:[0.9544, 0.7966, 0.8631, 1.1369, 0.6806, 1.1369], q:[0.7386, 0.307], qb:[0.4648, 0.3983], phi:[0.5228]] | t^2.04 + t^2.12 + t^2.32 + t^2.39 + t^2.86 + t^3.14 + 3*t^3.41 + t^3.68 + t^3.88 + t^4.08 + 2*t^4.16 + t^4.23 + 2*t^4.36 + 2*t^4.43 + t^4.51 + t^4.63 + t^4.71 + t^4.78 + t^4.9 + t^4.98 + 2*t^5.18 + 2*t^5.25 + 4*t^5.45 + 3*t^5.53 + 3*t^5.73 + 3*t^5.8 + t^5.93 - t^6. - t^4.57/y - t^4.57*y | detail | |
55232 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6534 | 0.8707 | 0.7504 | [X:[], M:[0.9534, 0.8029, 0.8602, 1.1398, 0.6738, 0.7097], q:[0.7384, 0.3082], qb:[0.4588, 0.4014], phi:[0.5233]] | t^2.02 + 2*t^2.13 + t^2.3 + t^2.41 + t^2.58 + t^2.86 + t^3.14 + 2*t^3.42 + t^3.7 + t^4.04 + 3*t^4.15 + 3*t^4.26 + 2*t^4.32 + 3*t^4.43 + 2*t^4.54 + 2*t^4.6 + 3*t^4.71 + t^4.82 + 2*t^4.88 + 3*t^4.99 + 3*t^5.16 + 3*t^5.27 + 4*t^5.44 + 4*t^5.55 + 3*t^5.72 + 3*t^5.83 - 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 |
---|---|---|---|---|---|---|---|---|---|
46387 | 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$ | 0.6123 | 0.7909 | 0.7741 | [X:[], M:[0.9527, 0.8072, 0.8582, 1.1418], q:[0.7382, 0.3091], qb:[0.4546, 0.4036], phi:[0.5236]] | t^2.14 + t^2.29 + t^2.42 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^3.86 + t^3.99 + t^4.15 + t^4.28 + t^4.3 + t^4.43 + t^4.56 + t^4.58 + 2*t^4.71 + t^4.84 + t^4.87 + 2*t^5. + 2*t^5.15 + 2*t^5.28 + 2*t^5.43 + 2*t^5.56 + 2*t^5.72 + 2*t^5.85 + t^6. - t^4.57/y - t^4.57*y | detail |