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 |
---|---|---|---|---|---|---|---|---|---|
46639 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.6247 | 0.8113 | 0.77 | [X:[], M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | [X:[], M:[[3], [7], [0], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2^3$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | 0 | t^2.18 + t^2.22 + t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.74 + t^3.78 + t^4.35 + t^4.4 + 2*t^4.44 + 2*t^4.48 + 3*t^4.52 + 2*t^4.56 + 2*t^4.6 + t^5.14 + t^5.18 + 2*t^5.22 + 4*t^5.26 + 3*t^5.3 + 2*t^5.34 + t^5.38 + 2*t^5.92 + t^5.96 + 2*t^6.04 + 2*t^6.08 + t^6.12 + t^6.17 + t^6.53 + t^6.57 + 2*t^6.62 + 2*t^6.66 + 3*t^6.7 + 4*t^6.74 + 4*t^6.78 + 4*t^6.82 + 3*t^6.86 + 2*t^6.91 + t^7.31 + t^7.35 + 2*t^7.4 + 3*t^7.44 + 4*t^7.48 + 4*t^7.52 + 6*t^7.56 + 5*t^7.6 + 3*t^7.65 + 2*t^7.69 + 2*t^8.09 + t^8.14 - t^8.18 + t^8.3 + 4*t^8.34 + 4*t^8.38 + 2*t^8.43 + t^8.47 + t^8.71 + t^8.75 + 2*t^8.79 + 2*t^8.83 + 5*t^8.88 + 3*t^8.92 + 2*t^8.96 - t^4.48/y - t^6.66/y - t^6.7/y + t^7.4/y + t^7.44/y + (2*t^7.48)/y + t^7.52/y + t^7.56/y + t^8.14/y + (2*t^8.18)/y + (3*t^8.22)/y + (5*t^8.26)/y + (4*t^8.3)/y + (2*t^8.34)/y + t^8.38/y - t^8.83/y - t^8.88/y + (3*t^8.96)/y - t^4.48*y - t^6.66*y - t^6.7*y + t^7.4*y + t^7.44*y + 2*t^7.48*y + t^7.52*y + t^7.56*y + t^8.14*y + 2*t^8.18*y + 3*t^8.22*y + 5*t^8.26*y + 4*t^8.3*y + 2*t^8.34*y + t^8.38*y - t^8.83*y - t^8.88*y + 3*t^8.96*y | g1^7*t^2.18 + g1^3*t^2.22 + t^2.26/g1 + t^2.3/g1^5 + g1^4*t^2.96 + t^3. + t^3.04/g1^4 + t^3.08/g1^8 + g1*t^3.74 + t^3.78/g1^3 + g1^14*t^4.35 + g1^10*t^4.4 + 2*g1^6*t^4.44 + 2*g1^2*t^4.48 + (3*t^4.52)/g1^2 + (2*t^4.56)/g1^6 + (2*t^4.6)/g1^10 + g1^11*t^5.14 + g1^7*t^5.18 + 2*g1^3*t^5.22 + (4*t^5.26)/g1 + (3*t^5.3)/g1^5 + (2*t^5.34)/g1^9 + t^5.38/g1^13 + 2*g1^8*t^5.92 + g1^4*t^5.96 + (2*t^6.04)/g1^4 + (2*t^6.08)/g1^8 + t^6.12/g1^12 + t^6.17/g1^16 + g1^21*t^6.53 + g1^17*t^6.57 + 2*g1^13*t^6.62 + 2*g1^9*t^6.66 + 3*g1^5*t^6.7 + 4*g1*t^6.74 + (4*t^6.78)/g1^3 + (4*t^6.82)/g1^7 + (3*t^6.86)/g1^11 + (2*t^6.91)/g1^15 + g1^18*t^7.31 + g1^14*t^7.35 + 2*g1^10*t^7.4 + 3*g1^6*t^7.44 + 4*g1^2*t^7.48 + (4*t^7.52)/g1^2 + (6*t^7.56)/g1^6 + (5*t^7.6)/g1^10 + (3*t^7.65)/g1^14 + (2*t^7.69)/g1^18 + 2*g1^15*t^8.09 + g1^11*t^8.14 - g1^7*t^8.18 + t^8.3/g1^5 + (4*t^8.34)/g1^9 + (4*t^8.38)/g1^13 + (2*t^8.43)/g1^17 + t^8.47/g1^21 + g1^28*t^8.71 + g1^24*t^8.75 + 2*g1^20*t^8.79 + 2*g1^16*t^8.83 + 5*g1^12*t^8.88 + 3*g1^8*t^8.92 + 2*g1^4*t^8.96 - (g1^2*t^4.48)/y - (g1^9*t^6.66)/y - (g1^5*t^6.7)/y + (g1^10*t^7.4)/y + (g1^6*t^7.44)/y + (2*g1^2*t^7.48)/y + t^7.52/(g1^2*y) + t^7.56/(g1^6*y) + (g1^11*t^8.14)/y + (2*g1^7*t^8.18)/y + (3*g1^3*t^8.22)/y + (5*t^8.26)/(g1*y) + (4*t^8.3)/(g1^5*y) + (2*t^8.34)/(g1^9*y) + t^8.38/(g1^13*y) - (g1^16*t^8.83)/y - (g1^12*t^8.88)/y + (3*g1^4*t^8.96)/y - g1^2*t^4.48*y - g1^9*t^6.66*y - g1^5*t^6.7*y + g1^10*t^7.4*y + g1^6*t^7.44*y + 2*g1^2*t^7.48*y + (t^7.52*y)/g1^2 + (t^7.56*y)/g1^6 + g1^11*t^8.14*y + 2*g1^7*t^8.18*y + 3*g1^3*t^8.22*y + (5*t^8.26*y)/g1 + (4*t^8.3*y)/g1^5 + (2*t^8.34*y)/g1^9 + (t^8.38*y)/g1^13 - g1^16*t^8.83*y - g1^12*t^8.88*y + 3*g1^4*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
48298 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[0.7503, 0.7508, 1.0, 0.9996, 0.9996], q:[0.7499, 0.4998], qb:[0.4993, 0.2501], phi:[0.5002]] | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. - t^4.5/y - t^4.5*y | detail | |
46870 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6298 | 0.8198 | 0.7682 | [X:[], M:[0.7193, 0.6784, 1.0, 1.0409, 0.9182], q:[0.7602, 0.5205], qb:[0.5614, 0.2398], phi:[0.4795]] | t^2.04 + t^2.16 + t^2.28 + t^2.4 + t^2.75 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^4.07 + t^4.19 + 2*t^4.32 + 2*t^4.44 + 3*t^4.56 + 2*t^4.68 + t^4.79 + 2*t^4.81 + 2*t^4.91 + 2*t^5.04 + 3*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.63 + 3*t^5.75 + 2*t^5.88 - t^4.44/y - t^4.44*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 |
---|---|---|---|---|---|---|---|---|---|
46277 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.1 + t^2.19 + t^2.27 + t^2.36 + 2*t^2.92 + t^3. + t^3.17 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.37 + 2*t^4.46 + 3*t^4.54 + 2*t^4.63 + 2*t^4.71 + 2*t^5.02 + 2*t^5.1 + 2*t^5.19 + 4*t^5.27 + 2*t^5.36 + t^5.44 + t^5.52 + 4*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |