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 |
---|---|---|---|---|---|---|---|---|---|
1814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6348 | 0.784 | 0.8097 | [X:[1.6126], M:[0.8379, 0.7117, 1.1621, 0.3874, 0.8379], q:[0.4032, 0.759], qb:[0.4347, 0.8536], phi:[0.3874]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.13 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + 2*t^3.77 + t^4.27 + t^4.46 + 3*t^4.65 + 3*t^4.84 + 3*t^5.03 + 2*t^5.72 + 2*t^5.91 - 2*t^6. + 4*t^6.09 + t^6.19 + 4*t^6.28 + t^6.4 + t^6.59 + 3*t^6.78 + 3*t^6.97 - 2*t^7.07 + 6*t^7.16 - 2*t^7.26 + 6*t^7.35 + 6*t^7.54 + 2*t^7.85 + 2*t^8.04 - 3*t^8.13 + 4*t^8.23 - 3*t^8.32 + 4*t^8.42 - 6*t^8.51 + t^8.54 + 6*t^8.61 + t^8.73 + 6*t^8.8 + 3*t^8.92 - t^4.16/y - t^6.3/y - t^6.49/y - t^6.68/y + t^7.46/y + (3*t^7.65)/y + (3*t^7.84)/y + (2*t^8.03)/y - t^8.43/y - t^8.62/y + (2*t^8.72)/y - t^8.81/y + (4*t^8.91)/y - t^4.16*y - t^6.3*y - t^6.49*y - t^6.68*y + t^7.46*y + 3*t^7.65*y + 3*t^7.84*y + 2*t^8.03*y - t^8.43*y - t^8.62*y + 2*t^8.72*y - t^8.81*y + 4*t^8.91*y | t^2.13/g2^7 + t^2.32/g2^2 + 2*g2^3*t^2.51 + (g1^2*t^3.58)/g2^9 + (g2^8*t^3.58)/g1^2 + g2^2*t^3.68 + (g1^2*t^3.77)/g2^4 + (g2^13*t^3.77)/g1^2 + t^4.27/g2^14 + t^4.46/g2^9 + (3*t^4.65)/g2^4 + 3*g2*t^4.84 + 3*g2^6*t^5.03 + (g1^2*t^5.72)/g2^16 + (g2*t^5.72)/g1^2 + (g1^2*t^5.91)/g2^11 + (g2^6*t^5.91)/g1^2 - 2*t^6. + (2*g1^2*t^6.09)/g2^6 + (2*g2^11*t^6.09)/g1^2 + g2^5*t^6.19 + (2*g1^2*t^6.28)/g2 + (2*g2^16*t^6.28)/g1^2 + t^6.4/g2^21 + t^6.59/g2^16 + (3*t^6.78)/g2^11 + (3*t^6.97)/g2^6 - (g1^2*t^7.07)/g2^12 - (g2^5*t^7.07)/g1^2 + (g1^4*t^7.16)/g2^18 + (4*t^7.16)/g2 + (g2^16*t^7.16)/g1^4 - (g1^2*t^7.26)/g2^7 - (g2^10*t^7.26)/g1^2 + (g1^4*t^7.35)/g2^13 + 4*g2^4*t^7.35 + (g2^21*t^7.35)/g1^4 + (g1^4*t^7.54)/g2^8 + 4*g2^9*t^7.54 + (g2^26*t^7.54)/g1^4 + (g1^2*t^7.85)/g2^23 + t^7.85/(g1^2*g2^6) + (g1^2*t^8.04)/g2^18 + t^8.04/(g1^2*g2) - (3*t^8.13)/g2^7 + (2*g1^2*t^8.23)/g2^13 + (2*g2^4*t^8.23)/g1^2 - (3*t^8.32)/g2^2 + (2*g1^2*t^8.42)/g2^8 + (2*g2^9*t^8.42)/g1^2 - 6*g2^3*t^8.51 + t^8.54/g2^28 + (3*g1^2*t^8.61)/g2^3 + (3*g2^14*t^8.61)/g1^2 + t^8.73/g2^23 + 3*g1^2*g2^2*t^8.8 + (3*g2^19*t^8.8)/g1^2 + (3*t^8.92)/g2^18 - t^4.16/(g2*y) - t^6.3/(g2^8*y) - t^6.49/(g2^3*y) - (g2^2*t^6.68)/y + t^7.46/(g2^9*y) + (3*t^7.65)/(g2^4*y) + (3*g2*t^7.84)/y + (2*g2^6*t^8.03)/y - t^8.43/(g2^15*y) - t^8.62/(g2^10*y) + (g1^2*t^8.72)/(g2^16*y) + (g2*t^8.72)/(g1^2*y) - t^8.81/(g2^5*y) + (2*g1^2*t^8.91)/(g2^11*y) + (2*g2^6*t^8.91)/(g1^2*y) - (t^4.16*y)/g2 - (t^6.3*y)/g2^8 - (t^6.49*y)/g2^3 - g2^2*t^6.68*y + (t^7.46*y)/g2^9 + (3*t^7.65*y)/g2^4 + 3*g2*t^7.84*y + 2*g2^6*t^8.03*y - (t^8.43*y)/g2^15 - (t^8.62*y)/g2^10 + (g1^2*t^8.72*y)/g2^16 + (g2*t^8.72*y)/g1^2 - (t^8.81*y)/g2^5 + (2*g1^2*t^8.91*y)/g2^11 + (2*g2^6*t^8.91*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2830 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.8368, 0.7142, 1.1632, 0.3877, 0.8368, 0.7689], q:[0.4217, 0.7415], qb:[0.4151, 0.8707], phi:[0.3877]] | t^2.14 + t^2.31 + t^2.33 + 2*t^2.51 + t^3.47 + t^3.65 + t^3.67 + t^3.88 + t^4.28 + t^4.45 + t^4.47 + t^4.61 + t^4.63 + 3*t^4.65 + 2*t^4.82 + 3*t^4.84 + 3*t^5.02 + t^5.61 + t^5.78 + t^5.8 + t^5.96 + 3*t^5.98 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
2831 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6546 | 0.8215 | 0.7969 | [X:[1.6145], M:[0.8434, 0.6986, 1.1566, 0.3855, 0.8434, 0.7153], q:[0.3939, 0.7627], qb:[0.4496, 0.8518], phi:[0.3855]] | t^2.1 + t^2.15 + t^2.31 + 2*t^2.53 + t^3.52 + t^3.64 + t^3.69 + t^3.74 + t^4.19 + t^4.24 + t^4.29 + t^4.41 + t^4.46 + 3*t^4.63 + 2*t^4.68 + 3*t^4.84 + 3*t^5.06 + t^5.62 + t^5.67 + t^5.73 + t^5.78 + 2*t^5.83 + t^5.88 - 2*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
365 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. - t^4.35/y - t^4.35*y | detail |