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 |
---|---|---|---|---|---|---|---|---|---|
46670 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6338 | 0.825 | 0.7683 | [X:[], M:[1.0, 0.8827, 0.706, 0.706], q:[0.7647, 0.2353], qb:[0.5293, 0.5879], phi:[0.4707]] | [X:[], M:[[0], [-8], [-3], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_3$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1^2$ | -2 | 2*t^2.12 + t^2.29 + t^2.47 + t^2.65 + 2*t^2.82 + t^3. + t^3.71 + t^4.06 + 3*t^4.24 + 2*t^4.41 + 4*t^4.59 + 2*t^4.76 + 2*t^4.77 + 6*t^4.94 + 4*t^5.12 + 3*t^5.29 + t^5.3 + 3*t^5.47 + 4*t^5.65 + 2*t^5.82 - 2*t^6. + t^6.18 + 4*t^6.35 + 4*t^6.53 + 6*t^6.71 + 7*t^6.88 + 11*t^7.06 + 2*t^7.23 + 7*t^7.24 + 12*t^7.41 + 8*t^7.59 + 3*t^7.76 + 8*t^7.77 + 7*t^7.94 + t^8.12 - t^8.29 + 4*t^8.3 + 4*t^8.47 + t^8.65 + t^8.82 - t^4.41/y - (2*t^6.53)/y - t^7.06/y + (2*t^7.41)/y + (3*t^7.59)/y + (2*t^7.76)/y + (2*t^7.77)/y + (5*t^7.94)/y + (5*t^8.12)/y + (5*t^8.29)/y + (3*t^8.47)/y - t^8.65/y + (4*t^8.82)/y - t^4.41*y - 2*t^6.53*y - t^7.06*y + 2*t^7.41*y + 3*t^7.59*y + 2*t^7.76*y + 2*t^7.77*y + 5*t^7.94*y + 5*t^8.12*y + 5*t^8.29*y + 3*t^8.47*y - t^8.65*y + 4*t^8.82*y | (2*t^2.12)/g1^3 + g1*t^2.29 + g1^5*t^2.47 + t^2.65/g1^8 + (2*t^2.82)/g1^4 + t^3. + t^3.71/g1 + g1^7*t^4.06 + (3*t^4.24)/g1^6 + (2*t^4.41)/g1^2 + 4*g1^2*t^4.59 + 2*g1^6*t^4.76 + (2*t^4.77)/g1^11 + (4*t^4.94)/g1^7 + 2*g1^10*t^4.94 + (4*t^5.12)/g1^3 + 3*g1*t^5.29 + t^5.3/g1^16 + (2*t^5.47)/g1^12 + g1^5*t^5.47 + (4*t^5.65)/g1^8 + (2*t^5.82)/g1^4 - 2*t^6. + g1^4*t^6.18 + (4*t^6.35)/g1^9 + (3*t^6.53)/g1^5 + g1^12*t^6.53 + (6*t^6.71)/g1 + (3*t^6.88)/g1^14 + 4*g1^3*t^6.88 + (6*t^7.06)/g1^10 + 5*g1^7*t^7.06 + 2*g1^11*t^7.23 + (7*t^7.24)/g1^6 + (2*t^7.41)/g1^19 + (8*t^7.41)/g1^2 + 2*g1^15*t^7.41 + (4*t^7.59)/g1^15 + 4*g1^2*t^7.59 + 3*g1^6*t^7.76 + (8*t^7.77)/g1^11 + t^7.94/g1^24 + (6*t^7.94)/g1^7 + (2*t^8.12)/g1^20 - t^8.12/g1^3 - g1*t^8.29 + (4*t^8.3)/g1^16 + (10*t^8.47)/g1^12 - 6*g1^5*t^8.47 + t^8.65/g1^8 + t^8.82/g1^4 - t^4.41/(g1^2*y) - (2*t^6.53)/(g1^5*y) - t^7.06/(g1^10*y) + (2*t^7.41)/(g1^2*y) + (3*g1^2*t^7.59)/y + (2*g1^6*t^7.76)/y + (2*t^7.77)/(g1^11*y) + (5*t^7.94)/(g1^7*y) + (5*t^8.12)/(g1^3*y) + (5*g1*t^8.29)/y + (2*t^8.47)/(g1^12*y) + (g1^5*t^8.47)/y - t^8.65/(g1^8*y) + (4*t^8.82)/(g1^4*y) - (t^4.41*y)/g1^2 - (2*t^6.53*y)/g1^5 - (t^7.06*y)/g1^10 + (2*t^7.41*y)/g1^2 + 3*g1^2*t^7.59*y + 2*g1^6*t^7.76*y + (2*t^7.77*y)/g1^11 + (5*t^7.94*y)/g1^7 + (5*t^8.12*y)/g1^3 + 5*g1*t^8.29*y + (2*t^8.47*y)/g1^12 + g1^5*t^8.47*y - (t^8.65*y)/g1^8 + (4*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
46907 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6259 | 0.8118 | 0.7711 | [X:[], M:[1.0, 0.9469, 0.7301, 0.7301, 1.0531], q:[0.7566, 0.2434], qb:[0.5133, 0.5398], phi:[0.4867]] | 2*t^2.19 + t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.73 + t^3.89 + 3*t^4.38 + 2*t^4.46 + 4*t^4.54 + 2*t^4.62 + 2*t^4.7 + 3*t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + t^5.43 + t^5.51 + 3*t^5.84 + 2*t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
48124 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6522 | 0.858 | 0.7602 | [X:[], M:[1.0, 0.8868, 0.7076, 0.7076, 0.7641], q:[0.7641, 0.2359], qb:[0.5283, 0.5849], phi:[0.4717]] | 2*t^2.12 + 2*t^2.29 + t^2.46 + t^2.66 + 2*t^2.83 + t^3. + t^4.05 + 3*t^4.25 + 4*t^4.42 + 6*t^4.58 + 3*t^4.75 + 2*t^4.78 + 2*t^4.92 + 5*t^4.95 + 6*t^5.12 + 4*t^5.29 + t^5.32 + t^5.46 + 2*t^5.49 + 4*t^5.66 - 3*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46332 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. - t^4.42/y - t^4.42*y | detail |