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 |
---|---|---|---|---|---|---|---|---|---|
46982 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.3877, 0.7142, 1.1632, 0.8368, 0.7689, 0.8368], q:[0.8335, 0.7788], qb:[0.4523, 0.3845], phi:[0.3877]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [2, 0], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ X_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | 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. + 2*t^6.16 + 2*t^6.18 + 2*t^6.39 + t^6.43 + t^6.59 + t^6.61 + t^6.76 + t^6.78 + 3*t^6.8 + t^6.92 + 2*t^6.94 + 2*t^6.96 + 3*t^6.98 + 3*t^7.12 + 2*t^7.14 + 3*t^7.16 - t^7.18 + t^7.31 + 3*t^7.33 + 3*t^7.35 - 2*t^7.37 + 4*t^7.53 + 2*t^7.75 + t^7.92 + t^7.94 + t^8.08 + t^8.1 + 2*t^8.12 - 3*t^8.14 + t^8.27 + 3*t^8.29 - 3*t^8.33 - t^8.35 + 2*t^8.47 + 5*t^8.49 - 6*t^8.51 - t^8.53 + t^8.57 + 3*t^8.67 + 2*t^8.69 + t^8.73 + t^8.75 + 4*t^8.9 + t^8.92 + 3*t^8.94 - t^4.16/y - t^6.31/y - t^6.47/y - t^6.49/y - t^6.67/y + t^7.45/y + t^7.47/y + t^7.63/y + (3*t^7.65)/y + (2*t^7.82)/y + (3*t^7.84)/y + t^7.86/y + (2*t^8.02)/y - t^8.45/y - t^8.63/y + t^8.8/y - t^8.82/y + t^8.96/y + (3*t^8.98)/y - t^4.16*y - t^6.31*y - t^6.47*y - t^6.49*y - t^6.67*y + t^7.45*y + t^7.47*y + t^7.63*y + 3*t^7.65*y + 2*t^7.82*y + 3*t^7.84*y + t^7.86*y + 2*t^8.02*y - t^8.45*y - t^8.63*y + t^8.8*y - t^8.82*y + t^8.96*y + 3*t^8.98*y | t^2.14/g2^7 + g1^2*t^2.31 + t^2.33/g2^2 + 2*g2^3*t^2.51 + (g1^2*t^3.47)/g2 + g1^2*g2^4*t^3.65 + g2^2*t^3.67 + (g2^5*t^3.88)/g1^2 + t^4.28/g2^14 + (g1^2*t^4.45)/g2^7 + t^4.47/g2^9 + g1^4*t^4.61 + (g1^2*t^4.63)/g2^2 + (3*t^4.65)/g2^4 + 2*g1^2*g2^3*t^4.82 + 3*g2*t^4.84 + 3*g2^6*t^5.02 + (g1^2*t^5.61)/g2^8 + (g1^4*t^5.78)/g2 + (g1^2*t^5.8)/g2^3 + g1^4*g2^4*t^5.96 + 3*g1^2*g2^2*t^5.98 - 2*t^6. + 2*g1^2*g2^7*t^6.16 + 2*g2^5*t^6.18 + (2*g2^8*t^6.39)/g1^2 + t^6.43/g2^21 + (g1^2*t^6.59)/g2^14 + t^6.61/g2^16 + (g1^4*t^6.76)/g2^7 + (g1^2*t^6.78)/g2^9 + (3*t^6.8)/g2^11 + g1^6*t^6.92 + (2*g1^4*t^6.94)/g2^2 + (2*g1^2*t^6.96)/g2^4 + (3*t^6.98)/g2^6 + 3*g1^4*g2^3*t^7.12 + 2*g1^2*g2*t^7.14 + (3*t^7.16)/g2 - t^7.18/(g1^2*g2^3) + g1^4*g2^8*t^7.31 + 3*g1^2*g2^6*t^7.33 + 3*g2^4*t^7.35 - (2*g2^2*t^7.37)/g1^2 + 4*g2^9*t^7.53 + (g1^2*t^7.75)/g2^15 + (g2^10*t^7.75)/g1^4 + (g1^4*t^7.92)/g2^8 + (g1^2*t^7.94)/g2^10 + (g1^6*t^8.08)/g2 + (g1^4*t^8.1)/g2^3 + (2*g1^2*t^8.12)/g2^5 - (3*t^8.14)/g2^7 + g1^6*g2^4*t^8.27 + 3*g1^4*g2^2*t^8.29 - (3*t^8.33)/g2^2 - t^8.35/(g1^2*g2^4) + 2*g1^4*g2^7*t^8.47 + 5*g1^2*g2^5*t^8.49 - 6*g2^3*t^8.51 - (g2*t^8.53)/g1^2 + t^8.57/g2^28 + 3*g1^2*g2^10*t^8.67 + 2*g2^8*t^8.69 + (g1^2*t^8.73)/g2^21 + t^8.75/g2^23 + (g1^4*t^8.9)/g2^14 + (3*g2^11*t^8.9)/g1^2 + (g1^2*t^8.92)/g2^16 + (3*t^8.94)/g2^18 - t^4.16/(g2*y) - t^6.31/(g2^8*y) - (g1^2*t^6.47)/(g2*y) - t^6.49/(g2^3*y) - (g2^2*t^6.67)/y + (g1^2*t^7.45)/(g2^7*y) + t^7.47/(g2^9*y) + (g1^2*t^7.63)/(g2^2*y) + (3*t^7.65)/(g2^4*y) + (2*g1^2*g2^3*t^7.82)/y + (3*g2*t^7.84)/y + t^7.86/(g1^2*g2*y) + (2*g2^6*t^8.02)/y - t^8.45/(g2^15*y) - t^8.63/(g2^10*y) + (g1^2*t^8.8)/(g2^3*y) - t^8.82/(g2^5*y) + (g1^4*g2^4*t^8.96)/y + (3*g1^2*g2^2*t^8.98)/y - (t^4.16*y)/g2 - (t^6.31*y)/g2^8 - (g1^2*t^6.47*y)/g2 - (t^6.49*y)/g2^3 - g2^2*t^6.67*y + (g1^2*t^7.45*y)/g2^7 + (t^7.47*y)/g2^9 + (g1^2*t^7.63*y)/g2^2 + (3*t^7.65*y)/g2^4 + 2*g1^2*g2^3*t^7.82*y + 3*g2*t^7.84*y + (t^7.86*y)/(g1^2*g2) + 2*g2^6*t^8.02*y - (t^8.45*y)/g2^15 - (t^8.63*y)/g2^10 + (g1^2*t^8.8*y)/g2^3 - (t^8.82*y)/g2^5 + g1^4*g2^4*t^8.96*y + 3*g1^2*g2^2*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
55134 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_2^2$ | 0.6046 | 0.7716 | 0.7835 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7557, 0.7143], q:[0.6636, 0.9079], qb:[0.3364, 0.3779], phi:[0.4286]] | 2*t^2.14 + t^2.27 + t^2.57 + t^3. + t^3.12 + t^3.3 + t^3.43 + t^3.55 + 3*t^4.29 + 2*t^4.41 + t^4.53 + 3*t^4.71 + t^4.84 + 3*t^5.14 + 3*t^5.27 + t^5.39 + 2*t^5.45 + 3*t^5.57 + 3*t^5.7 + t^5.82 - t^6. - t^4.29/y - t^4.29*y | detail | |
55282 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6509 | 0.8123 | 0.8013 | [X:[1.6121], M:[0.3879, 0.7152, 1.1637, 0.8363, 0.8061, 0.8363], q:[0.8515, 0.7606], qb:[0.4333, 0.403], phi:[0.3879]] | t^2.15 + t^2.33 + t^2.42 + 2*t^2.51 + t^3.58 + t^3.67 + 2*t^3.76 + t^4.29 + t^4.47 + t^4.56 + 3*t^4.65 + t^4.75 + 4*t^4.84 + 2*t^4.93 + 3*t^5.02 + t^5.73 + t^5.91 - t^6. - t^4.16/y - t^4.16*y | detail | |
55294 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.3866, 0.7063, 1.1599, 0.8401, 0.7607, 0.8401, 0.6938], q:[0.8339, 0.7795], qb:[0.4598, 0.3803], phi:[0.3866]] | t^2.08 + t^2.12 + t^2.28 + t^2.32 + 2*t^2.52 + t^3.44 + t^3.64 + t^3.68 + t^4.16 + t^4.2 + t^4.24 + t^4.36 + 2*t^4.4 + t^4.44 + t^4.56 + 3*t^4.6 + 3*t^4.64 + 2*t^4.8 + 3*t^4.84 + 3*t^5.04 + t^5.52 + t^5.56 + 2*t^5.72 + 2*t^5.76 + t^5.92 + 3*t^5.96 - 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 |
---|---|---|---|---|---|---|---|---|---|
46569 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.3841, 0.689, 1.1524, 0.8476, 0.77], q:[0.8484, 0.7674], qb:[0.4625, 0.385], phi:[0.3841]] | t^2.07 + t^2.3 + t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.7 + t^3.93 + t^4.13 + t^4.37 + t^4.38 + 3*t^4.61 + t^4.62 + 3*t^4.85 + t^5.09 + t^5.52 + t^5.53 + t^5.76 + 3*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail |