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 |
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2451 | 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$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_1$ | 0.6984 | 0.8575 | 0.8144 | [X:[], M:[0.9443, 1.0186, 1.0557, 0.9071, 0.9443, 1.0929, 0.9443], q:[0.4721, 0.5836], qb:[0.4721, 0.5093], phi:[0.4907]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [10], [-6]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -4 | 3*t^2.83 + 2*t^2.94 + t^3.06 + t^3.28 + 3*t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + t^4.75 + t^4.97 + 4*t^5.67 + 5*t^5.78 + 4*t^5.89 - 4*t^6. + t^6.11 + t^6.22 - t^6.33 + t^6.56 + 7*t^7.14 + 9*t^7.25 + 4*t^7.36 + t^7.47 + 3*t^7.58 + t^7.7 + t^7.81 + 2*t^7.92 + t^8.03 + t^8.25 + 5*t^8.5 + 11*t^8.61 + 10*t^8.72 - 7*t^8.83 - 4*t^8.94 - t^4.47/y - (2*t^7.3)/y + (2*t^7.64)/y + (3*t^8.67)/y + (6*t^8.78)/y + (4*t^8.89)/y - t^4.47*y - 2*t^7.3*y + 2*t^7.64*y + 3*t^8.67*y + 6*t^8.78*y + 4*t^8.89*y | (3*t^2.83)/g1^6 + (2*t^2.94)/g1^2 + g1^2*t^3.06 + g1^10*t^3.28 + (3*t^4.3)/g1^7 + (2*t^4.42)/g1^3 + g1*t^4.53 + 2*g1^5*t^4.64 + g1^9*t^4.75 + g1^17*t^4.97 + (4*t^5.67)/g1^12 + (5*t^5.78)/g1^8 + (4*t^5.89)/g1^4 - 4*t^6. + g1^4*t^6.11 + g1^8*t^6.22 - g1^12*t^6.33 + g1^20*t^6.56 + (7*t^7.14)/g1^13 + (9*t^7.25)/g1^9 + (4*t^7.36)/g1^5 + t^7.47/g1 + 3*g1^3*t^7.58 + g1^7*t^7.7 + g1^11*t^7.81 + 2*g1^15*t^7.92 + g1^19*t^8.03 + g1^27*t^8.25 + (5*t^8.5)/g1^18 + (11*t^8.61)/g1^14 + (10*t^8.72)/g1^10 - (7*t^8.83)/g1^6 - (4*t^8.94)/g1^2 - t^4.47/(g1*y) - (2*t^7.3)/(g1^7*y) + (2*g1^5*t^7.64)/y + (3*t^8.67)/(g1^12*y) + (6*t^8.78)/(g1^8*y) + (4*t^8.89)/(g1^4*y) - (t^4.47*y)/g1 - (2*t^7.3*y)/g1^7 + 2*g1^5*t^7.64*y + (3*t^8.67*y)/g1^12 + (6*t^8.78*y)/g1^8 + (4*t^8.89*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1383 | 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$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.6942 | 0.85 | 0.8166 | [X:[], M:[0.9652, 1.0116, 1.0348, 0.942, 0.9652, 1.058], q:[0.4826, 0.5522], qb:[0.4826, 0.5058], phi:[0.4942]] | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + 3*t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.59 + t^4.66 + t^4.8 + t^5.79 + 3*t^5.86 + 3*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y | detail |