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 |
---|---|---|---|---|---|---|---|---|---|
543 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ | 0.5799 | 0.7477 | 0.7755 | [X:[], M:[0.9257, 1.223, 1.0743, 0.777], q:[0.7314, 0.3429], qb:[0.3429, 0.4341], phi:[0.5372]] | [X:[], M:[[4], [-12], [-4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1^3$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | t^2.06 + 2*t^2.33 + 3*t^3.22 + t^3.5 + 3*t^3.67 + 2*t^3.94 + t^4.11 + t^4.22 + 2*t^4.39 + 3*t^4.66 + 3*t^5.28 + 6*t^5.55 + t^5.73 + 2*t^5.83 + t^6. + t^6.17 + 2*t^6.27 + 3*t^6.45 + 2*t^6.55 + 3*t^6.72 + 6*t^6.89 + 4*t^6.99 + 3*t^7.17 + 6*t^7.34 + 3*t^7.44 + 4*t^7.61 + t^7.71 + t^7.78 + 9*t^7.89 - 3*t^8.06 + 5*t^8.16 + t^8.23 - 3*t^8.33 + t^8.43 + 3*t^8.5 + 2*t^8.6 + 4*t^8.78 + 3*t^8.88 + t^8.95 - t^4.61/y + (3*t^7.39)/y + t^7.66/y - t^7.83/y + (3*t^8.28)/y + (7*t^8.55)/y + (3*t^8.73)/y + (2*t^8.83)/y - t^4.61*y + 3*t^7.39*y + t^7.66*y - t^7.83*y + 3*t^8.28*y + 7*t^8.55*y + 3*t^8.73*y + 2*t^8.83*y | t^2.06/g1^10 + 2*g1^12*t^2.33 + (3*t^3.22)/g1^4 + g1^18*t^3.5 + (3*t^3.67)/g1^12 + 2*g1^10*t^3.94 + t^4.11/g1^20 + g1^32*t^4.22 + 2*g1^2*t^4.39 + 3*g1^24*t^4.66 + (3*t^5.28)/g1^14 + 6*g1^8*t^5.55 + t^5.73/g1^22 + 2*g1^30*t^5.83 + t^6. + t^6.17/g1^30 + 2*g1^22*t^6.27 + (3*t^6.45)/g1^8 + 2*g1^44*t^6.55 + 3*g1^14*t^6.72 + (6*t^6.89)/g1^16 + 4*g1^36*t^6.99 + 3*g1^6*t^7.17 + (6*t^7.34)/g1^24 + 3*g1^28*t^7.44 + (4*t^7.61)/g1^2 + g1^50*t^7.71 + t^7.78/g1^32 + 9*g1^20*t^7.89 - (3*t^8.06)/g1^10 + 5*g1^42*t^8.16 + t^8.23/g1^40 - 3*g1^12*t^8.33 + g1^64*t^8.43 + (3*t^8.5)/g1^18 + 2*g1^34*t^8.6 + 4*g1^4*t^8.78 + 3*g1^56*t^8.88 + t^8.95/g1^26 - t^4.61/(g1^2*y) + (3*g1^2*t^7.39)/y + (g1^24*t^7.66)/y - t^7.83/(g1^6*y) + (3*t^8.28)/(g1^14*y) + (7*g1^8*t^8.55)/y + (3*t^8.73)/(g1^22*y) + (2*g1^30*t^8.83)/y - (t^4.61*y)/g1^2 + 3*g1^2*t^7.39*y + g1^24*t^7.66*y - (t^7.83*y)/g1^6 + (3*t^8.28*y)/g1^14 + 7*g1^8*t^8.55*y + (3*t^8.73*y)/g1^22 + 2*g1^30*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
853 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6006 | 0.7881 | 0.7621 | [X:[], M:[0.9263, 1.2212, 1.0737, 0.7788, 0.6844], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]] | 2*t^2.05 + 2*t^2.34 + 3*t^3.22 + t^3.5 + 3*t^3.66 + t^3.95 + 3*t^4.11 + t^4.23 + 4*t^4.39 + 3*t^4.67 + 6*t^5.27 + 7*t^5.56 + 4*t^5.72 + 2*t^5.84 + t^6. - t^4.61/y - t^4.61*y | detail | |
1905 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.5952 | 0.7742 | 0.7687 | [X:[], M:[0.9324, 1.2029, 1.0676, 0.7971, 0.8043], q:[0.7331, 0.3345], qb:[0.3345, 0.4626], phi:[0.5338]] | t^2.01 + 2*t^2.39 + t^2.41 + 3*t^3.2 + 3*t^3.61 + 2*t^3.99 + t^4.01 + t^4.38 + 2*t^4.4 + t^4.42 + 3*t^4.78 + 2*t^4.8 + t^4.83 + 3*t^5.21 + 5*t^5.59 + 4*t^5.62 + t^6. - t^4.6/y - t^4.6*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 |
---|---|---|---|---|---|---|---|---|---|
344 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6064 | 0.7787 | 0.7788 | [X:[], M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.21 + t^2.27 + 2*t^3.04 + 2*t^3.13 + t^3.64 + t^3.7 + t^3.73 + t^4.33 + t^4.39 + 3*t^4.42 + t^4.45 + 2*t^4.48 + t^4.54 + 4*t^5.25 + 2*t^5.31 + 3*t^5.34 + t^5.4 + 2*t^5.85 + 2*t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.52/y - t^4.52*y | detail |