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 |
---|---|---|---|---|---|---|---|---|---|
44934 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1q_1q_2$ | 1.8152 | 1.9439 | 0.9338 | [X:[], M:[0.7062], q:[0.5, 0.4408], qb:[], phi:[0.3531]] | [X:[], M:[[-2]], q:[[0], [3]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1q_2^2$, $ \phi_1^2q_2^2$, $ M_1q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ q_2^4$, $ q_1q_2^3$, $ M_1\phi_1^2q_2$, $ \phi_1^4q_2$, $ q_1^2q_2^2$, $ M_1\phi_1^2q_1$, $ \phi_1^4q_1$ | $\phi_1^3q_1q_2$ | 0 | 2*t^2.12 + t^2.64 + t^2.82 + t^3. + t^3.44 + t^3.62 + 4*t^4.24 + 3*t^4.76 + 3*t^4.94 + 3*t^5.12 + t^5.29 + t^5.47 + 2*t^5.56 + 2*t^5.64 + 2*t^5.74 + t^6.09 - t^6.18 + 2*t^6.26 + 6*t^6.36 + 2*t^6.44 - t^6.8 + 6*t^6.88 + 6*t^7.06 + 6*t^7.24 + 3*t^7.41 + 4*t^7.59 + 4*t^7.68 + 6*t^7.76 + 4*t^7.86 + t^7.93 + t^7.94 + t^8.11 + 3*t^8.2 + 2*t^8.29 - 3*t^8.3 + 5*t^8.38 + 10*t^8.47 + 5*t^8.56 - t^8.64 + t^8.73 + t^8.74 - 3*t^8.82 - t^4.06/y - t^5.38/y - t^5.56/y - (3*t^6.18)/y - t^6.7/y - t^6.88/y - t^7.06/y + t^7.24/y - (3*t^7.5)/y - (3*t^7.68)/y + (2*t^7.76)/y + (3*t^7.94)/y - t^8.03/y + (2*t^8.12)/y - (2*t^8.2)/y - (6*t^8.3)/y - (2*t^8.38)/y + t^8.47/y + (2*t^8.56)/y + t^8.64/y + (3*t^8.74)/y - (3*t^8.82)/y - t^4.06*y - t^5.38*y - t^5.56*y - 3*t^6.18*y - t^6.7*y - t^6.88*y - t^7.06*y + t^7.24*y - 3*t^7.5*y - 3*t^7.68*y + 2*t^7.76*y + 3*t^7.94*y - t^8.03*y + 2*t^8.12*y - 2*t^8.2*y - 6*t^8.3*y - 2*t^8.38*y + t^8.47*y + 2*t^8.56*y + t^8.64*y + 3*t^8.74*y - 3*t^8.82*y | (2*t^2.12)/g1^2 + g1^6*t^2.64 + g1^3*t^2.82 + t^3. + g1*t^3.44 + t^3.62/g1^2 + (4*t^4.24)/g1^4 + 3*g1^4*t^4.76 + 3*g1*t^4.94 + (3*t^5.12)/g1^2 + g1^12*t^5.29 + g1^9*t^5.47 + (2*t^5.56)/g1 + 2*g1^6*t^5.64 + (2*t^5.74)/g1^4 + g1^7*t^6.09 - t^6.18/g1^3 + 2*g1^4*t^6.26 + (6*t^6.36)/g1^6 + 2*g1*t^6.44 - t^6.8/g1^5 + 6*g1^2*t^6.88 + (6*t^7.06)/g1 + (6*t^7.24)/g1^4 + 3*g1^10*t^7.41 + 4*g1^7*t^7.59 + (4*t^7.68)/g1^3 + 6*g1^4*t^7.76 + (4*t^7.86)/g1^6 + g1^18*t^7.93 + g1*t^7.94 + g1^15*t^8.11 + 3*g1^5*t^8.2 + 2*g1^12*t^8.29 - (3*t^8.3)/g1^5 + 5*g1^2*t^8.38 + (9*t^8.47)/g1^8 + g1^9*t^8.47 + (5*t^8.56)/g1 - g1^6*t^8.64 + g1^13*t^8.73 + t^8.74/g1^4 - 3*g1^3*t^8.82 - (2*t^8.91)/g1^7 + 2*g1^10*t^8.91 - t^4.06/(g1*y) - (g1^2*t^5.38)/y - t^5.56/(g1*y) - (3*t^6.18)/(g1^3*y) - (g1^5*t^6.7)/y - (g1^2*t^6.88)/y - t^7.06/(g1*y) + t^7.24/(g1^4*y) - (3*t^7.5)/y - (3*t^7.68)/(g1^3*y) + (2*g1^4*t^7.76)/y + (3*g1*t^7.94)/y - (g1^8*t^8.03)/y + (2*t^8.12)/(g1^2*y) - (2*g1^5*t^8.2)/y - (6*t^8.3)/(g1^5*y) - (2*g1^2*t^8.38)/y + (g1^9*t^8.47)/y + (2*t^8.56)/(g1*y) + (g1^6*t^8.64)/y + (3*t^8.74)/(g1^4*y) - (3*g1^3*t^8.82)/y - (t^4.06*y)/g1 - g1^2*t^5.38*y - (t^5.56*y)/g1 - (3*t^6.18*y)/g1^3 - g1^5*t^6.7*y - g1^2*t^6.88*y - (t^7.06*y)/g1 + (t^7.24*y)/g1^4 - 3*t^7.5*y - (3*t^7.68*y)/g1^3 + 2*g1^4*t^7.76*y + 3*g1*t^7.94*y - g1^8*t^8.03*y + (2*t^8.12*y)/g1^2 - 2*g1^5*t^8.2*y - (6*t^8.3*y)/g1^5 - 2*g1^2*t^8.38*y + g1^9*t^8.47*y + (2*t^8.56*y)/g1 + g1^6*t^8.64*y + (3*t^8.74*y)/g1^4 - 3*g1^3*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
44992 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^2q_1$ | 1.8322 | 1.9744 | 0.928 | [X:[], M:[0.7102, 0.7898], q:[0.5, 0.4347], qb:[], phi:[0.3551]] | 2*t^2.13 + t^2.37 + t^2.61 + t^2.8 + t^3. + t^3.43 + 4*t^4.26 + 2*t^4.5 + 4*t^4.74 + 3*t^4.93 + t^4.98 + 3*t^5.13 + t^5.17 + t^5.22 + t^5.37 + t^5.41 + 2*t^5.57 + 2*t^5.61 + t^5.8 - t^4.07/y - t^5.37/y - t^5.57/y - t^4.07*y - t^5.37*y - t^5.57*y | detail | |
45088 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ | 1.8104 | 1.9354 | 0.9354 | [X:[], M:[0.6961, 1.0441], q:[0.5, 0.4559], qb:[], phi:[0.348]] | 2*t^2.09 + t^2.74 + t^3. + t^3.13 + t^3.46 + t^3.59 + 4*t^4.18 + 3*t^4.82 + t^4.96 + 3*t^5.09 + 2*t^5.22 + t^5.47 + 2*t^5.54 + 2*t^5.68 + t^5.74 - t^4.04/y - t^5.41/y - t^5.54/y - t^4.04*y - t^5.41*y - t^5.54*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 |
---|---|---|---|---|---|---|---|---|---|
44928 | SO5adj1nf2 | $q_1^4$ | 1.7948 | 1.9054 | 0.942 | [X:[], M:[], q:[0.5, 0.4384], qb:[], phi:[0.3539]] | t^2.12 + t^2.63 + t^2.82 + t^3. + t^3.44 + t^3.62 + t^3.88 + 2*t^4.25 + 2*t^4.75 + 2*t^4.94 + 2*t^5.12 + t^5.26 + t^5.45 + t^5.56 + 2*t^5.63 + t^5.75 + t^6. - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*y | detail |