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 |
---|---|---|---|---|---|---|---|---|---|
45041 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_2q_2^2$ | 1.809 | 1.9277 | 0.9384 | [X:[], M:[0.82, 1.0802], q:[0.4599, 0.4599], qb:[], phi:[0.3601]] | [X:[], M:[[1], [-6]], q:[[3], [3]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_1$, $ q_1q_2$, $ q_2^2$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_1q_1q_2$, $ M_1q_2^2$, $ M_2\phi_1^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ M_1M_2$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.16 + t^2.46 + 2*t^2.76 + t^3.24 + t^3.54 + t^3.84 + 2*t^4.32 + t^4.62 + 6*t^4.92 + 2*t^5.22 + t^5.4 + 3*t^5.52 + 2*t^5.7 + t^6. + 3*t^6.3 + 3*t^6.48 + 2*t^6.6 + t^6.78 + 7*t^7.08 + 7*t^7.38 + 2*t^7.56 + 11*t^7.68 + 3*t^7.86 + 3*t^7.98 + 3*t^8.16 + 4*t^8.28 + 4*t^8.46 + 4*t^8.64 + 2*t^8.76 + 2*t^8.94 - t^4.08/y - (2*t^5.46)/y - (2*t^6.24)/y - t^6.54/y - (2*t^6.84)/y - t^7.32/y - (2*t^7.62)/y - (2*t^8.22)/y - (2*t^8.4)/y + t^8.52/y - t^4.08*y - 2*t^5.46*y - 2*t^6.24*y - t^6.54*y - 2*t^6.84*y - t^7.32*y - 2*t^7.62*y - 2*t^8.22*y - 2*t^8.4*y + t^8.52*y | t^2.16/g1^4 + g1*t^2.46 + 2*g1^6*t^2.76 + t^3.24/g1^6 + t^3.54/g1 + g1^4*t^3.84 + (2*t^4.32)/g1^8 + t^4.62/g1^3 + 6*g1^2*t^4.92 + 2*g1^7*t^5.22 + t^5.4/g1^10 + 3*g1^12*t^5.52 + (2*t^5.7)/g1^5 + t^6. + 3*g1^5*t^6.3 + (3*t^6.48)/g1^12 + 2*g1^10*t^6.6 + t^6.78/g1^7 + (7*t^7.08)/g1^2 + 7*g1^3*t^7.38 + (2*t^7.56)/g1^14 + 11*g1^8*t^7.68 + (3*t^7.86)/g1^9 + 3*g1^13*t^7.98 + (3*t^8.16)/g1^4 + 4*g1^18*t^8.28 + 4*g1*t^8.46 + (4*t^8.64)/g1^16 + 2*g1^6*t^8.76 + (2*t^8.94)/g1^11 - t^4.08/(g1^2*y) - (2*g1*t^5.46)/y - (2*t^6.24)/(g1^6*y) - t^6.54/(g1*y) - (2*g1^4*t^6.84)/y - t^7.32/(g1^8*y) - (2*t^7.62)/(g1^3*y) - (2*g1^7*t^8.22)/y - (2*t^8.4)/(g1^10*y) + (g1^12*t^8.52)/y - (t^4.08*y)/g1^2 - 2*g1*t^5.46*y - (2*t^6.24*y)/g1^6 - (t^6.54*y)/g1 - 2*g1^4*t^6.84*y - (t^7.32*y)/g1^8 - (2*t^7.62*y)/g1^3 - 2*g1^7*t^8.22*y - (2*t^8.4*y)/g1^10 + g1^12*t^8.52*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 |
---|---|---|---|---|---|---|---|---|
45255 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_2q_2^2$ + $ M_2M_3$ | 1.8175 | 1.9441 | 0.9348 | [X:[], M:[0.8158, 1.1054, 0.8946], q:[0.4473, 0.4473], qb:[], phi:[0.3685]] | t^2.21 + t^2.45 + 3*t^2.68 + t^3.55 + t^3.79 + 2*t^4.42 + t^4.66 + 7*t^4.89 + 3*t^5.13 + 6*t^5.37 + t^5.76 - t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail | |
45141 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ | 1.8028 | 1.9168 | 0.9405 | [X:[], M:[0.8245, 1.053, 1.053], q:[0.4735, 0.4735], qb:[], phi:[0.351]] | t^2.11 + t^2.47 + t^2.84 + 2*t^3.16 + t^3.53 + t^3.89 + 2*t^4.21 + t^4.58 + 5*t^4.95 + 2*t^5.26 + t^5.31 + 3*t^5.63 + t^5.68 + t^6. - t^4.05/y - (2*t^5.47)/y - t^4.05*y - 2*t^5.47*y | detail | |
45254 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_2q_2^2$ + $ \phi_1^4$ + $ q_1q_2X_1$ + $ q_2^2X_2$ | 1.4927 | 1.5708 | 0.9503 | [X:[1.5, 1.5], M:[0.75, 1.5], q:[0.25, 0.25], qb:[], phi:[0.5]] | t^2.25 + 2*t^3. + t^3.75 + 7*t^4.5 + 2*t^5.25 + t^6. - t^4.5/y - (2*t^5.25)/y - t^4.5*y - 2*t^5.25*y | detail | {a: 3057/2048, c: 3217/2048, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/2, q1: 1/4, q2: 1/4, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
44963 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ | 1.8123 | 1.9359 | 0.9361 | [X:[], M:[0.7935, 1.0238], q:[0.4881, 0.4344], qb:[], phi:[0.3592]] | t^2.16 + t^2.38 + t^2.61 + t^2.77 + t^3.07 + t^3.46 + t^3.84 + 2*t^4.31 + t^4.54 + 3*t^4.76 + 2*t^4.92 + t^4.99 + t^5.08 + t^5.15 + t^5.21 + t^5.23 + t^5.37 + t^5.45 + t^5.53 + t^5.61 + t^5.68 + t^5.84 - t^4.08/y - t^5.38/y - t^5.54/y - t^4.08*y - t^5.38*y - t^5.54*y | detail |