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 |
---|---|---|---|---|---|---|---|---|---|
55058 | 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_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_2M_3$ + $ M_1^2$ + $ M_2M_6$ | 0.7022 | 0.8628 | 0.8139 | [X:[], M:[1.0, 1.0555, 0.9445, 0.889, 1.0277, 0.9445], q:[0.4306, 0.5694], qb:[0.5139, 0.5416], phi:[0.4861]] | [X:[], M:[[0], [4], [-4], [-8], [2], [-4]], q:[[-5], [5]], qb:[[1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4M_6$, $ M_3^2$, $ M_1M_4$, $ M_3M_6$, $ M_6^2$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_1M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_1$ | . | -2 | t^2.67 + 2*t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.25 + t^4.04 + t^4.29 + t^4.38 + t^4.46 + t^4.54 + t^4.62 + 2*t^4.71 + t^4.79 + t^4.87 + t^5.33 + 2*t^5.5 + 3*t^5.67 + 2*t^5.75 + 2*t^5.83 + 2*t^5.92 - 2*t^6. + t^6.08 - t^6.42 + t^6.5 + t^6.71 + 2*t^6.88 + 2*t^6.96 + t^7.04 + 2*t^7.13 + 2*t^7.21 + 4*t^7.29 + 3*t^7.38 + t^7.46 + 4*t^7.54 + 2*t^7.62 + 3*t^7.71 + t^7.79 + t^7.96 + t^8. + t^8.08 + t^8.12 + 2*t^8.17 + 4*t^8.33 + t^8.42 + 4*t^8.5 + 3*t^8.58 + 5*t^8.75 - 4*t^8.83 - t^4.46/y - t^7.13/y - t^7.29/y + t^7.62/y + t^7.79/y + (2*t^8.5)/y + t^8.58/y + (2*t^8.67)/y + (3*t^8.75)/y + (2*t^8.83)/y + (4*t^8.92)/y - t^4.46*y - t^7.13*y - t^7.29*y + t^7.62*y + t^7.79*y + 2*t^8.5*y + t^8.58*y + 2*t^8.67*y + 3*t^8.75*y + 2*t^8.83*y + 4*t^8.92*y | t^2.67/g1^8 + (2*t^2.83)/g1^4 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + g1^6*t^3.25 + t^4.04/g1^11 + t^4.29/g1^5 + t^4.38/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.62 + 2*g1^5*t^4.71 + g1^7*t^4.79 + g1^9*t^4.87 + t^5.33/g1^16 + (2*t^5.5)/g1^12 + (3*t^5.67)/g1^8 + (2*t^5.75)/g1^6 + (2*t^5.83)/g1^4 + (2*t^5.92)/g1^2 - 2*t^6. + g1^2*t^6.08 - g1^10*t^6.42 + g1^12*t^6.5 + t^6.71/g1^19 + (2*t^6.88)/g1^15 + (2*t^6.96)/g1^13 + t^7.04/g1^11 + (2*t^7.13)/g1^9 + (2*t^7.21)/g1^7 + (4*t^7.29)/g1^5 + (3*t^7.38)/g1^3 + t^7.46/g1 + 4*g1*t^7.54 + 2*g1^3*t^7.62 + 3*g1^5*t^7.71 + g1^7*t^7.79 + g1^11*t^7.96 + t^8./g1^24 + t^8.08/g1^22 + g1^15*t^8.12 + (2*t^8.17)/g1^20 + (4*t^8.33)/g1^16 + t^8.42/g1^14 + (4*t^8.5)/g1^12 + (3*t^8.58)/g1^10 + (5*t^8.75)/g1^6 - (4*t^8.83)/g1^4 - t^4.46/(g1*y) - t^7.13/(g1^9*y) - t^7.29/(g1^5*y) + (g1^3*t^7.62)/y + (g1^7*t^7.79)/y + (2*t^8.5)/(g1^12*y) + t^8.58/(g1^10*y) + (2*t^8.67)/(g1^8*y) + (3*t^8.75)/(g1^6*y) + (2*t^8.83)/(g1^4*y) + (4*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.13*y)/g1^9 - (t^7.29*y)/g1^5 + g1^3*t^7.62*y + g1^7*t^7.79*y + (2*t^8.5*y)/g1^12 + (t^8.58*y)/g1^10 + (2*t^8.67*y)/g1^8 + (3*t^8.75*y)/g1^6 + (2*t^8.83*y)/g1^4 + (4*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
56768 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_2M_3$ + $ M_1^2$ + $ M_2M_6$ + $ M_5M_7$ | 0.7049 | 0.8679 | 0.8122 | [X:[], M:[1.0, 1.0619, 0.9381, 0.8763, 1.0309, 0.9381, 0.9691], q:[0.4227, 0.5773], qb:[0.5155, 0.5464], phi:[0.4845]] | t^2.63 + 2*t^2.81 + 2*t^2.91 + t^3. + t^3.28 + t^3.99 + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.26 + 2*t^5.44 + t^5.54 + 3*t^5.63 + 3*t^5.72 + 4*t^5.81 + t^5.91 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
47005 | 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_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_2M_3$ + $ M_1^2$ | 0.6976 | 0.8545 | 0.8164 | [X:[], M:[1.0, 1.0426, 0.9574, 0.9148, 1.0213], q:[0.4467, 0.5533], qb:[0.5107, 0.532], phi:[0.4893]] | t^2.74 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.13 + t^3.19 + t^4.15 + t^4.34 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + 2*t^4.66 + t^4.72 + t^4.79 + t^5.49 + t^5.62 + t^5.74 + t^5.81 + 2*t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |