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 |
---|---|---|---|---|---|---|---|---|---|
1745 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.6066 | 0.7783 | 0.7794 | [X:[], M:[0.9857, 1.043, 0.7607], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]] | [X:[], M:[[4], [-12], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | $q_1q_2\tilde{q}_2^2$ | 0 | t^2.2 + 2*t^2.28 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + 2*t^4.39 + 3*t^4.48 + 3*t^4.56 + t^5.15 + 3*t^5.24 + 3*t^5.33 + 3*t^5.41 + t^5.83 + 2*t^5.91 + 2*t^6.09 + 2*t^6.17 + 3*t^6.26 + t^6.5 + 3*t^6.59 + 3*t^6.67 + 5*t^6.76 + 4*t^6.85 + t^6.93 + t^7.26 + 2*t^7.35 + 3*t^7.44 + 5*t^7.52 + 5*t^7.61 + 4*t^7.69 + t^7.94 + 2*t^8.02 + t^8.11 - t^8.28 + 3*t^8.37 + 4*t^8.45 + 4*t^8.54 + t^8.61 + 2*t^8.7 + 4*t^8.79 + 4*t^8.87 + t^8.96 - t^4.52/y - t^6.8/y + t^7.39/y + (2*t^7.48)/y + t^7.56/y - t^7.65/y + t^8.15/y + (4*t^8.24)/y + (4*t^8.33)/y + (4*t^8.41)/y + t^8.83/y + (3*t^8.91)/y - t^4.52*y - t^6.8*y + t^7.39*y + 2*t^7.48*y + t^7.56*y - t^7.65*y + t^8.15*y + 4*t^8.24*y + 4*t^8.33*y + 4*t^8.41*y + t^8.83*y + 3*t^8.91*y | g1^5*t^2.2 + (2*t^2.28)/g1^3 + g1^4*t^2.96 + t^3.04/g1^4 + (2*t^3.13)/g1^12 + g1^11*t^3.63 + g1^3*t^3.72 + t^3.8/g1^5 + g1^18*t^4.31 + 2*g1^10*t^4.39 + 3*g1^2*t^4.48 + (3*t^4.56)/g1^6 + g1^9*t^5.15 + 3*g1*t^5.24 + (3*t^5.33)/g1^7 + (3*t^5.41)/g1^15 + g1^16*t^5.83 + 2*g1^8*t^5.91 + (2*t^6.09)/g1^8 + (2*t^6.17)/g1^16 + (3*t^6.26)/g1^24 + g1^23*t^6.5 + 3*g1^15*t^6.59 + 3*g1^7*t^6.67 + (5*t^6.76)/g1 + (4*t^6.85)/g1^9 + t^6.93/g1^17 + g1^22*t^7.26 + 2*g1^14*t^7.35 + 3*g1^6*t^7.44 + (5*t^7.52)/g1^2 + (5*t^7.61)/g1^10 + (4*t^7.69)/g1^18 + g1^29*t^7.94 + 2*g1^21*t^8.02 + g1^13*t^8.11 - t^8.28/g1^3 + (3*t^8.37)/g1^11 + (4*t^8.45)/g1^19 + (4*t^8.54)/g1^27 + g1^36*t^8.61 + 2*g1^28*t^8.7 + 4*g1^20*t^8.79 + 4*g1^12*t^8.87 + g1^4*t^8.96 - t^4.52/(g1^2*y) - t^6.8/(g1^5*y) + (g1^10*t^7.39)/y + (2*g1^2*t^7.48)/y + t^7.56/(g1^6*y) - t^7.65/(g1^14*y) + (g1^9*t^8.15)/y + (4*g1*t^8.24)/y + (4*t^8.33)/(g1^7*y) + (4*t^8.41)/(g1^15*y) + (g1^16*t^8.83)/y + (3*g1^8*t^8.91)/y - (t^4.52*y)/g1^2 - (t^6.8*y)/g1^5 + g1^10*t^7.39*y + 2*g1^2*t^7.48*y + (t^7.56*y)/g1^6 - (t^7.65*y)/g1^14 + g1^9*t^8.15*y + 4*g1*t^8.24*y + (4*t^8.33*y)/g1^7 + (4*t^8.41*y)/g1^15 + g1^16*t^8.83*y + 3*g1^8*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
2747 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6244 | 0.8107 | 0.7701 | [X:[], M:[0.994, 1.0181, 0.7545, 0.7666], q:[0.7485, 0.2575], qb:[0.4849, 0.497], phi:[0.503]] | t^2.23 + 2*t^2.26 + t^2.3 + t^2.98 + t^3.02 + 2*t^3.05 + t^3.74 + t^3.77 + t^4.42 + 2*t^4.45 + 3*t^4.49 + 4*t^4.53 + 2*t^4.56 + t^4.6 + t^5.21 + 3*t^5.25 + 4*t^5.28 + 4*t^5.32 + 2*t^5.35 - t^4.51/y - t^4.51*y | detail | |
2746 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6252 | 0.812 | 0.77 | [X:[], M:[0.9878, 1.0366, 0.7592, 0.7592], q:[0.7469, 0.2653], qb:[0.4695, 0.4939], phi:[0.5061]] | t^2.2 + 3*t^2.28 + t^2.96 + t^3.04 + 2*t^3.11 + t^3.65 + t^3.8 + t^4.34 + 2*t^4.41 + 4*t^4.48 + 6*t^4.55 + t^5.17 + 4*t^5.24 + 4*t^5.31 + 5*t^5.39 + t^5.85 + 2*t^5.93 - 2*t^6. - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6081 | 0.7817 | 0.778 | [X:[], M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.2 + t^2.26 + t^2.93 + t^3.07 + 2*t^3.2 + t^3.6 + t^3.66 + t^3.74 + t^4.28 + t^4.33 + t^4.39 + 3*t^4.41 + 2*t^4.47 + t^4.52 + 2*t^5.14 + t^5.2 + 2*t^5.27 + t^5.33 + 3*t^5.41 + t^5.46 + 2*t^5.81 + 3*t^5.87 + t^5.92 + t^5.94 - 2*t^6. - t^4.53/y - t^4.53*y | detail |