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 |
---|---|---|---|---|---|---|---|---|---|
45020 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ | 1.73 | 1.8196 | 0.9507 | [X:[1.3915], M:[0.7831, 0.9127], q:[0.6085, 0.4788], qb:[], phi:[0.3042]] | [X:[[2]], M:[[4], [-3]], q:[[-2], [5]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ q_2^2$, $ q_1q_2$, $ \phi_1^4$, $ q_1^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1M_2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ q_2^4$ | $M_1q_1^2$, $ \phi_1^3q_1q_2$ | 1 | t^2.35 + t^2.74 + t^2.87 + t^3.26 + 2*t^3.65 + 2*t^4.17 + 2*t^4.7 + 2*t^5.09 + t^5.22 + 2*t^5.48 + t^5.61 + t^5.75 + t^6. + t^6.13 + 4*t^6.52 + 3*t^6.91 + 4*t^7.05 + 2*t^7.3 + 4*t^7.44 + 2*t^7.57 + 6*t^7.83 + 3*t^7.96 + t^8.1 + t^8.21 + 5*t^8.35 + t^8.48 + t^8.62 + t^8.74 + 3*t^8.87 - t^3.91/y - t^5.35/y - (2*t^5.74)/y - t^6.26/y - t^6.65/y - t^6.79/y - t^7.17/y - (2*t^7.56)/y - t^7.7/y - (2*t^8.09)/y - t^8.48/y - (2*t^8.61)/y - t^3.91*y - t^5.35*y - 2*t^5.74*y - t^6.26*y - t^6.65*y - t^6.79*y - t^7.17*y - 2*t^7.56*y - t^7.7*y - 2*t^8.09*y - t^8.48*y - 2*t^8.61*y | g1^4*t^2.35 + t^2.74/g1^3 + g1^10*t^2.87 + g1^3*t^3.26 + (2*t^3.65)/g1^4 + 2*g1^2*t^4.17 + 2*g1^8*t^4.7 + 2*g1*t^5.09 + g1^14*t^5.22 + (2*t^5.48)/g1^6 + g1^7*t^5.61 + g1^20*t^5.75 + t^6. + g1^13*t^6.13 + 4*g1^6*t^6.52 + (3*t^6.91)/g1 + 4*g1^12*t^7.05 + (2*t^7.3)/g1^8 + 4*g1^5*t^7.44 + 2*g1^18*t^7.57 + (6*t^7.83)/g1^2 + 3*g1^11*t^7.96 + g1^24*t^8.1 + t^8.21/g1^9 + 5*g1^4*t^8.35 + g1^17*t^8.48 + g1^30*t^8.62 + t^8.74/g1^3 + 3*g1^10*t^8.87 - t^3.91/(g1*y) - (g1^4*t^5.35)/y - (2*t^5.74)/(g1^3*y) - (g1^3*t^6.26)/y - t^6.65/(g1^4*y) - (g1^9*t^6.79)/y - (g1^2*t^7.17)/y - (2*t^7.56)/(g1^5*y) - (g1^8*t^7.7)/y - (2*g1*t^8.09)/y - t^8.48/(g1^6*y) - (2*g1^7*t^8.61)/y - (t^3.91*y)/g1 - g1^4*t^5.35*y - (2*t^5.74*y)/g1^3 - g1^3*t^6.26*y - (t^6.65*y)/g1^4 - g1^9*t^6.79*y - g1^2*t^7.17*y - (2*t^7.56*y)/g1^5 - g1^8*t^7.7*y - 2*g1*t^8.09*y - (t^8.48*y)/g1^6 - 2*g1^7*t^8.61*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 |
---|---|---|---|---|---|---|---|---|
45153 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ | 1.7072 | 1.7875 | 0.955 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[0.2857]] | 2*t^2.57 + 4*t^3.43 + 2*t^4.29 + 6*t^5.14 + 3*t^6. - t^3.86/y - (3*t^5.57)/y - t^3.86*y - 3*t^5.57*y | detail | {a: 9369/5488, c: 4905/2744, X1: 10/7, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, phi1: 2/7} |
45158 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ | 1.7476 | 1.8519 | 0.9437 | [X:[1.3886], M:[0.7771, 0.9171, 0.7771], q:[0.6114, 0.4714], qb:[], phi:[0.3057]] | 2*t^2.33 + t^2.75 + t^2.83 + t^3.25 + t^3.67 + 2*t^4.17 + 4*t^4.66 + 3*t^5.08 + 2*t^5.16 + 2*t^5.5 + 2*t^5.58 + t^5.66 + t^6. - t^3.92/y - t^5.33/y - (2*t^5.75)/y - t^3.92*y - t^5.33*y - 2*t^5.75*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 |
---|---|---|---|---|---|---|---|---|---|
44936 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ | 1.833 | 1.9716 | 0.9297 | [X:[], M:[0.8153, 0.8153], q:[0.4458, 0.4458], qb:[], phi:[0.3695]] | t^2.22 + 2*t^2.45 + 3*t^2.67 + t^3.78 + 2*t^4.43 + 2*t^4.66 + 9*t^4.89 + 6*t^5.12 + 6*t^5.35 - 2*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |