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 |
---|---|---|---|---|---|---|---|---|---|
2576 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_4M_7$ | 0.6916 | 0.8487 | 0.8149 | [X:[], M:[1.0054, 0.9982, 0.9946, 1.0091, 0.9909, 1.0018, 0.9909], q:[0.4955, 0.4991], qb:[0.51, 0.4918], phi:[0.5009]] | [X:[], M:[[-6], [2], [6], [-10], [10], [-2], [10]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1\tilde{q}_2$, $ M_5$, $ M_7$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_3q_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_7$, $ M_3^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_1M_7$, $ M_3\phi_1^2$ | . | -3 | t^2.96 + 2*t^2.97 + t^2.98 + 2*t^3.01 + t^3.02 + t^4.45 + t^4.46 + 2*t^4.48 + t^4.49 + t^4.5 + t^4.51 + t^4.52 + t^4.53 + t^4.56 + t^5.92 + 2*t^5.93 + 3*t^5.95 + t^5.96 + 2*t^5.97 + 4*t^5.98 + t^5.99 - 3*t^6. + t^6.01 + t^6.02 - t^6.04 - t^6.05 + t^7.42 + 3*t^7.43 + 4*t^7.44 + 3*t^7.45 + 4*t^7.46 + 3*t^7.47 + 5*t^7.48 + 2*t^7.49 + t^7.52 + 3*t^7.54 - 2*t^7.56 + 2*t^7.57 + t^7.58 + t^8.89 + 2*t^8.9 + 4*t^8.91 + 4*t^8.92 + 5*t^8.93 + 6*t^8.94 + 6*t^8.95 - 2*t^8.96 - 4*t^8.97 + 2*t^8.98 + t^8.99 - t^4.5/y - t^7.48/y + t^7.5/y - t^7.51/y + t^7.53/y + (2*t^8.93)/y + (2*t^8.95)/y + (2*t^8.96)/y + (2*t^8.97)/y + (5*t^8.98)/y + (4*t^8.99)/y - t^4.5*y - t^7.48*y + t^7.5*y - t^7.51*y + t^7.53*y + 2*t^8.93*y + 2*t^8.95*y + 2*t^8.96*y + 2*t^8.97*y + 5*t^8.98*y + 4*t^8.99*y | g1^14*t^2.96 + 2*g1^10*t^2.97 + g1^6*t^2.98 + (2*t^3.01)/g1^2 + t^3.02/g1^6 + g1^17*t^4.45 + g1^13*t^4.46 + 2*g1^9*t^4.48 + g1^5*t^4.49 + g1*t^4.5 + t^4.51/g1^3 + t^4.52/g1^7 + t^4.53/g1^11 + t^4.56/g1^23 + g1^28*t^5.92 + 2*g1^24*t^5.93 + 3*g1^20*t^5.95 + g1^16*t^5.96 + 2*g1^12*t^5.97 + 4*g1^8*t^5.98 + g1^4*t^5.99 - 3*t^6. + t^6.01/g1^4 + t^6.02/g1^8 - t^6.04/g1^16 - t^6.05/g1^20 + g1^31*t^7.42 + 3*g1^27*t^7.43 + 4*g1^23*t^7.44 + 3*g1^19*t^7.45 + 4*g1^15*t^7.46 + 3*g1^11*t^7.47 + 5*g1^7*t^7.48 + 2*g1^3*t^7.49 + t^7.52/g1^9 + (3*t^7.54)/g1^13 - (2*t^7.56)/g1^21 + (2*t^7.57)/g1^25 + t^7.58/g1^29 + g1^42*t^8.89 + 2*g1^38*t^8.9 + 4*g1^34*t^8.91 + 4*g1^30*t^8.92 + 5*g1^26*t^8.93 + 6*g1^22*t^8.94 + 6*g1^18*t^8.95 - 2*g1^14*t^8.96 - 4*g1^10*t^8.97 + 2*g1^6*t^8.98 + g1^2*t^8.99 - t^4.5/(g1*y) - (g1^9*t^7.48)/y + (g1*t^7.5)/y - t^7.51/(g1^3*y) + t^7.53/(g1^11*y) + (2*g1^24*t^8.93)/y + (2*g1^20*t^8.95)/y + (2*g1^16*t^8.96)/y + (2*g1^12*t^8.97)/y + (5*g1^8*t^8.98)/y + (4*g1^4*t^8.99)/y - (t^4.5*y)/g1 - g1^9*t^7.48*y + g1*t^7.5*y - (t^7.51*y)/g1^3 + (t^7.53*y)/g1^11 + 2*g1^24*t^8.93*y + 2*g1^20*t^8.95*y + 2*g1^16*t^8.96*y + 2*g1^12*t^8.97*y + 5*g1^8*t^8.98*y + 4*g1^4*t^8.99*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 |
---|---|---|---|---|---|---|---|---|
4655 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_4M_7$ + $ M_1M_8$ | 0.6925 | 0.8518 | 0.8129 | [X:[], M:[1.0141, 0.9953, 0.9859, 1.0236, 0.9764, 1.0047, 0.9764, 0.9859], q:[0.4882, 0.4976], qb:[0.5259, 0.4788], phi:[0.5024]] | t^2.9 + 2*t^2.93 + 2*t^2.96 + 2*t^3.01 + t^4.38 + t^4.41 + 2*t^4.44 + t^4.46 + t^4.49 + t^4.52 + t^4.55 + t^4.58 + t^4.66 + t^5.8 + 2*t^5.83 + 4*t^5.86 + 3*t^5.89 + 4*t^5.92 + 3*t^5.94 + t^5.97 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
1486 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ | 0.6918 | 0.8476 | 0.8162 | [X:[], M:[0.991, 1.003, 1.009, 0.9849, 1.0151, 0.997], q:[0.5075, 0.5015], qb:[0.4834, 0.5136], phi:[0.4985]] | t^2.95 + t^2.97 + 2*t^2.99 + t^3.03 + t^3.05 + t^3.06 + t^4.4 + t^4.45 + t^4.47 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.54 + t^4.56 + t^4.58 + 2*t^5.95 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.5/y - t^4.5*y | detail |