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 |
---|---|---|---|---|---|---|---|---|---|
50951 | 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_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_1M_5$ + $ M_6q_2\tilde{q}_1$ | 0.604 | 0.7543 | 0.8007 | [X:[1.3797], M:[1.2152, 1.0, 0.7848, 0.6203, 0.7848, 0.8355], q:[0.3101, 0.4746], qb:[0.6899, 0.9051], phi:[0.4051]] | [X:[[4]], M:[[-3], [0], [3], [-4], [3], [-7]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ X_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_6^2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5\phi_1q_1^2$, $ M_2M_6$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1^2$, $ M_5\phi_1q_1q_2$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.35 + t^2.43 + t^2.51 + t^3. + t^3.08 + t^3.57 + t^4.06 + t^4.14 + 3*t^4.71 + 3*t^4.78 + 3*t^4.86 + t^4.94 + t^5.01 + 2*t^5.35 + 2*t^5.43 + t^5.51 + t^5.58 + t^5.92 - t^6. + t^6.08 + t^6.15 + 2*t^6.42 + 2*t^6.49 + t^6.57 - t^6.72 + 4*t^7.06 + 4*t^7.14 + 4*t^7.22 + 3*t^7.29 + 3*t^7.37 + t^7.44 + t^7.52 + 2*t^7.71 + 2*t^7.78 + 2*t^7.86 + 2*t^7.94 + t^8.01 + t^8.09 + t^8.13 + t^8.2 + t^8.28 - 4*t^8.35 - t^8.43 - t^8.51 + t^8.58 + t^8.66 + 3*t^8.77 + 3*t^8.85 + t^8.92 - t^4.22/y - t^6.57/y - t^6.65/y - t^6.72/y + (2*t^7.71)/y + (3*t^7.78)/y + (3*t^7.86)/y + t^7.94/y + (2*t^8.35)/y + (3*t^8.43)/y + (2*t^8.51)/y + t^8.58/y + t^8.92/y - t^4.22*y - t^6.57*y - t^6.65*y - t^6.72*y + 2*t^7.71*y + 3*t^7.78*y + 3*t^7.86*y + t^7.94*y + 2*t^8.35*y + 3*t^8.43*y + 2*t^8.51*y + t^8.58*y + t^8.92*y | 2*g1^3*t^2.35 + t^2.43/g1^2 + t^2.51/g1^7 + t^3. + t^3.08/g1^5 + g1^2*t^3.57 + g1^9*t^4.06 + g1^4*t^4.14 + 3*g1^6*t^4.71 + 3*g1*t^4.78 + (3*t^4.86)/g1^4 + t^4.94/g1^9 + t^5.01/g1^14 + 2*g1^3*t^5.35 + (2*t^5.43)/g1^2 + t^5.51/g1^7 + t^5.58/g1^12 + g1^5*t^5.92 - t^6. + t^6.08/g1^5 + t^6.15/g1^10 + 2*g1^12*t^6.42 + 2*g1^7*t^6.49 + g1^2*t^6.57 - t^6.72/g1^8 + 4*g1^9*t^7.06 + 4*g1^4*t^7.14 + (4*t^7.22)/g1 + (3*t^7.29)/g1^6 + (3*t^7.37)/g1^11 + t^7.44/g1^16 + t^7.52/g1^21 + 2*g1^6*t^7.71 + 2*g1*t^7.78 + (2*t^7.86)/g1^4 + (2*t^7.94)/g1^9 + t^8.01/g1^14 + t^8.09/g1^19 + g1^18*t^8.13 + g1^13*t^8.2 + g1^8*t^8.28 - 4*g1^3*t^8.35 - t^8.43/g1^2 - t^8.51/g1^7 + t^8.58/g1^12 + t^8.66/g1^17 + 3*g1^15*t^8.77 + 3*g1^10*t^8.85 + g1^5*t^8.92 - t^4.22/(g1*y) - (g1^2*t^6.57)/y - t^6.65/(g1^3*y) - t^6.72/(g1^8*y) + (2*g1^6*t^7.71)/y + (3*g1*t^7.78)/y + (3*t^7.86)/(g1^4*y) + t^7.94/(g1^9*y) + (2*g1^3*t^8.35)/y + (3*t^8.43)/(g1^2*y) + (2*t^8.51)/(g1^7*y) + t^8.58/(g1^12*y) + (g1^5*t^8.92)/y - (t^4.22*y)/g1 - g1^2*t^6.57*y - (t^6.65*y)/g1^3 - (t^6.72*y)/g1^8 + 2*g1^6*t^7.71*y + 3*g1*t^7.78*y + (3*t^7.86*y)/g1^4 + (t^7.94*y)/g1^9 + 2*g1^3*t^8.35*y + (3*t^8.43*y)/g1^2 + (2*t^8.51*y)/g1^7 + (t^8.58*y)/g1^12 + g1^5*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
56103 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_1M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_1^2$ | 0.6078 | 0.7619 | 0.7977 | [X:[1.3562], M:[1.2328, 1.0, 0.7672, 0.6438, 0.7672, 0.8766, 0.9453], q:[0.3219, 0.4453], qb:[0.6781, 0.9109], phi:[0.4109]] | 2*t^2.3 + t^2.47 + t^2.63 + t^2.84 + t^3. + t^3.53 + t^3.9 + t^4.07 + 3*t^4.6 + 3*t^4.77 + 3*t^4.93 + t^5.1 + 2*t^5.14 + t^5.26 + 3*t^5.3 + t^5.47 + t^5.67 + 2*t^5.84 - t^6. - t^4.23/y - t^4.23*y | detail | |
56100 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_1M_5$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ | 0.5882 | 0.727 | 0.8091 | [X:[1.3731], M:[1.2202, 1.0, 0.7798, 0.6269, 0.7798, 0.8471, 1.1865], q:[0.3135, 0.4664], qb:[0.6865, 0.9067], phi:[0.4067]] | 2*t^2.34 + t^2.54 + t^3. + t^3.1 + 2*t^3.56 + t^4.02 + t^4.12 + 3*t^4.68 + t^4.78 + 2*t^4.88 + t^5.08 + 2*t^5.34 + t^5.44 + t^5.64 + 3*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*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 |
---|---|---|---|---|---|---|---|---|---|
48209 | 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_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_1M_5$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.3497], M:[1.2377, 1.0, 0.7623, 0.6503, 0.7623], q:[0.3252, 0.4371], qb:[0.6748, 0.9126], phi:[0.4126]] | 2*t^2.29 + t^2.48 + t^3. + t^3.19 + t^3.34 + t^3.52 + t^3.86 + t^4.05 + 3*t^4.57 + 3*t^4.76 + t^4.95 + 2*t^5.29 + 2*t^5.48 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.24/y - t^4.24*y | detail |