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 |
---|---|---|---|---|---|---|---|---|---|
2807 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6216 | 0.8091 | 0.7682 | [X:[], M:[0.9492, 1.1525, 0.9492, 0.7288, 0.8475], q:[0.7373, 0.3136], qb:[0.4322, 0.4152], phi:[0.5254]] | [X:[], M:[[-4], [12], [-4], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\phi_1q_2^2$ | -1 | 2*t^2.19 + t^2.24 + t^2.54 + 2*t^2.85 + 2*t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.37 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.03 + 3*t^5.08 + 2*t^5.39 + 3*t^5.64 + 5*t^5.69 + t^5.75 + t^5.95 - t^6. + 2*t^6.25 + 4*t^6.31 + 3*t^6.36 + t^6.41 + 4*t^6.56 + 4*t^6.61 + t^6.66 + 2*t^6.71 + 5*t^6.92 + 3*t^6.97 + 3*t^7.02 + 6*t^7.22 + 3*t^7.27 + 2*t^7.32 + t^7.53 + 2*t^7.58 + 3*t^7.63 + t^7.68 + 5*t^7.83 + 6*t^7.88 + 5*t^7.93 + t^7.98 + 2*t^8.14 - 3*t^8.19 + t^8.24 + t^8.29 + t^8.34 + 3*t^8.44 + 4*t^8.49 + 5*t^8.54 + 3*t^8.59 + t^8.64 + 5*t^8.75 + 4*t^8.8 - 4*t^8.85 + t^8.9 + 2*t^8.95 - t^4.58/y - t^6.76/y + t^7.37/y + t^7.42/y + (3*t^7.73)/y + t^7.78/y + (4*t^8.03)/y + (2*t^8.08)/y + (3*t^8.39)/y + (4*t^8.64)/y + (5*t^8.69)/y + t^8.75/y + t^8.95/y - t^4.58*y - t^6.76*y + t^7.37*y + t^7.42*y + 3*t^7.73*y + t^7.78*y + 4*t^8.03*y + 2*t^8.08*y + 3*t^8.39*y + 4*t^8.64*y + 5*t^8.69*y + t^8.75*y + t^8.95*y | 2*g1^18*t^2.19 + t^2.24/g1^20 + t^2.54/g1^12 + (2*t^2.85)/g1^4 + 2*g1^12*t^3.46 + t^3.51/g1^26 + g1^20*t^3.76 + g1^28*t^4.07 + t^4.12/g1^10 + t^4.17/g1^48 + 3*g1^36*t^4.37 + (2*t^4.42)/g1^2 + t^4.47/g1^40 + 2*g1^6*t^4.73 + t^4.78/g1^32 + 4*g1^14*t^5.03 + (3*t^5.08)/g1^24 + (2*t^5.39)/g1^16 + 3*g1^30*t^5.64 + (5*t^5.69)/g1^8 + t^5.75/g1^46 + g1^38*t^5.95 - t^6. + 2*g1^46*t^6.25 + 4*g1^8*t^6.31 + (3*t^6.36)/g1^30 + t^6.41/g1^68 + 4*g1^54*t^6.56 + 4*g1^16*t^6.61 + t^6.66/g1^22 + (2*t^6.71)/g1^60 + 5*g1^24*t^6.92 + (3*t^6.97)/g1^14 + (3*t^7.02)/g1^52 + 6*g1^32*t^7.22 + (3*t^7.27)/g1^6 + (2*t^7.32)/g1^44 + g1^40*t^7.53 + 2*g1^2*t^7.58 + (3*t^7.63)/g1^36 + t^7.68/g1^74 + 5*g1^48*t^7.83 + 6*g1^10*t^7.88 + (5*t^7.93)/g1^28 + t^7.98/g1^66 + 2*g1^56*t^8.14 - 3*g1^18*t^8.19 + t^8.24/g1^20 + t^8.29/g1^58 + t^8.34/g1^96 + 3*g1^64*t^8.44 + 4*g1^26*t^8.49 + (5*t^8.54)/g1^12 + (3*t^8.59)/g1^50 + t^8.64/g1^88 + 5*g1^72*t^8.75 + 4*g1^34*t^8.8 - (4*t^8.85)/g1^4 + t^8.9/g1^42 + (2*t^8.95)/g1^80 - (g1^2*t^4.58)/y - (g1^20*t^6.76)/y + (g1^36*t^7.37)/y + t^7.42/(g1^2*y) + (3*g1^6*t^7.73)/y + t^7.78/(g1^32*y) + (4*g1^14*t^8.03)/y + (2*t^8.08)/(g1^24*y) + (3*t^8.39)/(g1^16*y) + (4*g1^30*t^8.64)/y + (5*t^8.69)/(g1^8*y) + t^8.75/(g1^46*y) + (g1^38*t^8.95)/y - g1^2*t^4.58*y - g1^20*t^6.76*y + g1^36*t^7.37*y + (t^7.42*y)/g1^2 + 3*g1^6*t^7.73*y + (t^7.78*y)/g1^32 + 4*g1^14*t^8.03*y + (2*t^8.08*y)/g1^24 + (3*t^8.39*y)/g1^16 + 4*g1^30*t^8.64*y + (5*t^8.69*y)/g1^8 + (t^8.75*y)/g1^46 + g1^38*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
3329 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_6$ | 0.6085 | 0.7868 | 0.7733 | [X:[], M:[0.9512, 1.1463, 0.9512, 0.7194, 0.8537, 1.1463], q:[0.7378, 0.3109], qb:[0.4453, 0.4085], phi:[0.5244]] | 2*t^2.16 + t^2.27 + 2*t^2.85 + 3*t^3.44 + t^3.55 + t^3.73 + t^4.02 + t^4.13 + t^4.24 + 3*t^4.32 + 2*t^4.43 + t^4.54 + 4*t^5.01 + 2*t^5.12 + 5*t^5.6 + 6*t^5.71 + t^5.82 + t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
1795 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6272 | 0.8147 | 0.7699 | [X:[], M:[0.9777, 1.0668, 0.9777, 0.7484, 0.785], q:[0.7444, 0.2778], qb:[0.4626, 0.4706], phi:[0.5111]] | t^2.22 + 2*t^2.25 + t^2.35 + 2*t^2.93 + 2*t^3.2 + t^3.62 + t^3.78 + t^4.31 + t^4.33 + t^4.36 + t^4.44 + 2*t^4.47 + 3*t^4.49 + t^4.58 + 2*t^4.6 + t^4.71 + 2*t^5.15 + 4*t^5.18 + 2*t^5.29 + t^5.42 + 3*t^5.45 + 2*t^5.56 + t^5.84 + 4*t^5.87 - 3*t^6. - t^4.53/y - t^4.53*y | detail |