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 |
---|---|---|---|---|---|---|---|---|---|
3467 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_7$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[1.0, 1.0238, 0.9523, 1.0238, 0.7321, 0.7083, 1.2679], q:[0.756, 0.244], qb:[0.5358, 0.5119], phi:[0.4881]] | [X:[], M:[[0], [4], [-8], [4], [-3], [-7], [3]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_7$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_6$, $ M_1M_6$, $ M_2M_6$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_3M_4$, $ M_6M_7$, $ M_6q_1\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -2 | t^2.12 + t^2.27 + t^2.34 + t^2.86 + t^3. + 2*t^3.07 + t^3.73 + 2*t^3.8 + t^4.25 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + t^4.98 + t^5.12 + 2*t^5.2 + t^5.27 + 3*t^5.34 + 2*t^5.41 + t^5.71 + 2*t^5.86 + 2*t^5.93 - 2*t^6. + 3*t^6.07 + 4*t^6.14 + t^6.37 + t^6.52 + t^6.59 + 2*t^6.66 + 4*t^6.8 + 4*t^6.88 + 2*t^6.95 + 2*t^7.02 + t^7.11 + t^7.25 + 2*t^7.32 + t^7.39 + t^7.46 + 2*t^7.54 + 5*t^7.61 + 4*t^7.68 + 3*t^7.75 + t^7.84 + 2*t^7.98 + 2*t^8.05 - 2*t^8.12 + t^8.2 + 5*t^8.41 + 5*t^8.48 + t^8.5 + t^8.57 + t^8.64 + 2*t^8.71 + 3*t^8.79 - 2*t^8.86 + 3*t^8.93 - t^4.46/y - t^6.59/y - t^7.32/y + (2*t^7.39)/y + t^7.46/y - t^7.54/y + (2*t^7.61)/y + t^7.98/y + (2*t^8.12)/y + (3*t^8.2)/y + t^8.27/y + (4*t^8.34)/y + (2*t^8.41)/y - t^8.71/y + (2*t^8.86)/y + (4*t^8.93)/y - t^4.46*y - t^6.59*y - t^7.32*y + 2*t^7.39*y + t^7.46*y - t^7.54*y + 2*t^7.61*y + t^7.98*y + 2*t^8.12*y + 3*t^8.2*y + t^8.27*y + 4*t^8.34*y + 2*t^8.41*y - t^8.71*y + 2*t^8.86*y + 4*t^8.93*y | t^2.12/g1^7 + g1*t^2.27 + g1^5*t^2.34 + t^2.86/g1^8 + t^3. + 2*g1^4*t^3.07 + t^3.73/g1 + 2*g1^3*t^3.8 + t^4.25/g1^14 + t^4.39/g1^6 + t^4.46/g1^2 + 2*g1^2*t^4.54 + 2*g1^6*t^4.61 + 2*g1^10*t^4.68 + t^4.98/g1^15 + t^5.12/g1^7 + (2*t^5.2)/g1^3 + g1*t^5.27 + 3*g1^5*t^5.34 + 2*g1^9*t^5.41 + t^5.71/g1^16 + (2*t^5.86)/g1^8 + (2*t^5.93)/g1^4 - 2*t^6. + 3*g1^4*t^6.07 + 4*g1^8*t^6.14 + t^6.37/g1^21 + t^6.52/g1^13 + t^6.59/g1^9 + (2*t^6.66)/g1^5 + 4*g1^3*t^6.8 + 4*g1^7*t^6.88 + 2*g1^11*t^6.95 + 2*g1^15*t^7.02 + t^7.11/g1^22 + t^7.25/g1^14 + (2*t^7.32)/g1^10 + t^7.39/g1^6 + t^7.46/g1^2 + 2*g1^2*t^7.54 + 5*g1^6*t^7.61 + 4*g1^10*t^7.68 + 3*g1^14*t^7.75 + t^7.84/g1^23 + (2*t^7.98)/g1^15 + (2*t^8.05)/g1^11 - (2*t^8.12)/g1^7 + t^8.2/g1^3 + 5*g1^9*t^8.41 + 5*g1^13*t^8.48 + t^8.5/g1^28 + t^8.57/g1^24 + t^8.64/g1^20 + (2*t^8.71)/g1^16 + (3*t^8.79)/g1^12 - (2*t^8.86)/g1^8 + (3*t^8.93)/g1^4 - t^4.46/(g1^2*y) - t^6.59/(g1^9*y) - t^7.32/(g1^10*y) + (2*t^7.39)/(g1^6*y) + t^7.46/(g1^2*y) - (g1^2*t^7.54)/y + (2*g1^6*t^7.61)/y + t^7.98/(g1^15*y) + (2*t^8.12)/(g1^7*y) + (3*t^8.2)/(g1^3*y) + (g1*t^8.27)/y + (4*g1^5*t^8.34)/y + (2*g1^9*t^8.41)/y - t^8.71/(g1^16*y) + (2*t^8.86)/(g1^8*y) + (4*t^8.93)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.59*y)/g1^9 - (t^7.32*y)/g1^10 + (2*t^7.39*y)/g1^6 + (t^7.46*y)/g1^2 - g1^2*t^7.54*y + 2*g1^6*t^7.61*y + (t^7.98*y)/g1^15 + (2*t^8.12*y)/g1^7 + (3*t^8.2*y)/g1^3 + g1*t^8.27*y + 4*g1^5*t^8.34*y + 2*g1^9*t^8.41*y - (t^8.71*y)/g1^16 + (2*t^8.86*y)/g1^8 + (4*t^8.93*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
5148 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_7$ + $ M_3M_8$ | 0.6051 | 0.7779 | 0.7779 | [X:[], M:[1.0, 0.9947, 1.0106, 0.9947, 0.754, 0.7593, 1.246, 0.9894], q:[0.7487, 0.2513], qb:[0.4921, 0.4974], phi:[0.5026]] | t^2.23 + t^2.25 + t^2.28 + t^2.97 + 2*t^2.98 + t^3. + 2*t^3.74 + t^3.75 + 2*t^4.46 + 2*t^4.48 + 2*t^4.49 + t^4.51 + t^4.52 + t^4.56 + t^5.2 + 3*t^5.21 + 3*t^5.23 + 2*t^5.25 + t^5.26 + t^5.94 + 2*t^5.95 + 5*t^5.97 + 3*t^5.98 - 2*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
2893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[1.0, 1.0275, 0.945, 1.0275, 0.7294, 0.7019], q:[0.7569, 0.2431], qb:[0.5413, 0.5138], phi:[0.4862]] | t^2.11 + t^2.19 + t^2.27 + t^2.35 + t^2.83 + t^3. + 2*t^3.08 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.38 + 2*t^4.46 + 3*t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + 2*t^5.44 + t^5.67 + 2*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |