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 |
---|---|---|---|---|---|---|---|---|---|
48120 | 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_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2X_2$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.3809, 0.6665, 1.1428, 0.8572, 0.7619, 0.7002], q:[0.8741, 0.745], qb:[0.4594, 0.3978], phi:[0.3809]] | [X:[[0, 1], [0, 7]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, -2], [2, -5]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ X_2$, $ M_6^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_4M_5$, $ M_4\phi_1^2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ M_6\phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | . | t^2.1 + 2*t^2.29 + t^2.57 + t^3.43 + t^3.53 + t^3.61 + t^3.82 + t^4. + t^4.2 + 2*t^4.39 + 3*t^4.57 + t^4.67 + 3*t^4.86 + t^5.14 + t^5.53 + t^5.63 + 2*t^5.71 + t^5.82 + t^5.9 + t^5.92 - 2*t^6. + 3*t^6.1 + t^6.29 + t^6.3 + t^6.39 + 2*t^6.49 + t^6.57 + 3*t^6.67 + t^6.77 + 4*t^6.86 + 3*t^6.96 + t^7.06 + 3*t^7.14 + t^7.23 - 2*t^7.33 + t^7.35 + t^7.43 + 2*t^7.63 + t^7.73 + 2*t^7.81 + t^7.82 + t^7.92 + 3*t^8. + t^8.02 - t^8.1 + t^8.18 + 3*t^8.2 - 4*t^8.29 + 3*t^8.39 + t^8.4 - t^8.47 + t^8.49 - 3*t^8.57 + 2*t^8.59 + 3*t^8.67 - t^8.76 + 3*t^8.77 + t^8.86 + t^8.87 + 5*t^8.96 - t^4.14/y - t^6.24/y - (2*t^6.43)/y + (2*t^7.39)/y + t^7.57/y + t^7.67/y + (4*t^7.86)/y + t^8.04/y - t^8.34/y - t^8.53/y + t^8.63/y + (2*t^8.82)/y + (2*t^8.9)/y + t^8.92/y - t^4.14*y - t^6.24*y - 2*t^6.43*y + 2*t^7.39*y + t^7.57*y + t^7.67*y + 4*t^7.86*y + t^8.04*y - t^8.34*y - t^8.53*y + t^8.63*y + 2*t^8.82*y + 2*t^8.9*y + t^8.92*y | (g1^2*t^2.1)/g2^5 + (2*t^2.29)/g2^2 + g2^3*t^2.57 + t^3.43/g2^3 + (g1^2*t^3.53)/g2 + t^3.61/g1^2 + g1^2*g2^4*t^3.82 + g2^7*t^4. + (g1^4*t^4.2)/g2^10 + (2*g1^2*t^4.39)/g2^7 + (3*t^4.57)/g2^4 + (g1^2*t^4.67)/g2^2 + 3*g2*t^4.86 + g2^6*t^5.14 + (g1^2*t^5.53)/g2^8 + (g1^4*t^5.63)/g2^6 + (2*t^5.71)/g2^5 + (g1^2*t^5.82)/g2^3 + t^5.9/(g1^2*g2^2) + (g1^4*t^5.92)/g2 - 2*t^6. + 3*g1^2*g2^2*t^6.1 + g2^5*t^6.29 + (g1^6*t^6.3)/g2^15 + g1^2*g2^7*t^6.39 + (2*g1^4*t^6.49)/g2^12 + g2^10*t^6.57 + (3*g1^2*t^6.67)/g2^9 + (g1^4*t^6.77)/g2^7 + (4*t^6.86)/g2^6 + (3*g1^2*t^6.96)/g2^4 + (g1^4*t^7.06)/g2^2 + (3*t^7.14)/g2 + t^7.23/g1^4 - (2*g2^2*t^7.33)/g1^2 + g1^4*g2^3*t^7.35 + g2^4*t^7.43 + (g1^4*t^7.63)/g2^13 + g1^4*g2^8*t^7.63 + (g1^6*t^7.73)/g2^11 + (2*g1^2*t^7.81)/g2^10 + g1^2*g2^11*t^7.82 + (g1^4*t^7.92)/g2^8 + (2*t^8.)/g2^7 + g2^14*t^8. + (g1^6*t^8.02)/g2^6 - (g1^2*t^8.1)/g2^5 + t^8.18/(g1^2*g2^4) + (3*g1^4*t^8.2)/g2^3 - (4*t^8.29)/g2^2 + 3*g1^2*t^8.39 + (g1^8*t^8.4)/g2^20 - (g2*t^8.47)/g1^2 + g1^4*g2^2*t^8.49 - 3*g2^3*t^8.57 + (2*g1^6*t^8.59)/g2^17 + 3*g1^2*g2^5*t^8.67 - (g2^6*t^8.76)/g1^2 + (3*g1^4*t^8.77)/g2^14 + g2^8*t^8.86 + (g1^6*t^8.87)/g2^12 + (4*g1^2*t^8.96)/g2^11 + g1^2*g2^10*t^8.96 - t^4.14/(g2*y) - (g1^2*t^6.24)/(g2^6*y) - (2*t^6.43)/(g2^3*y) + (2*g1^2*t^7.39)/(g2^7*y) + t^7.57/(g2^4*y) + (g1^2*t^7.67)/(g2^2*y) + (4*g2*t^7.86)/y + (g2^4*t^8.04)/(g1^2*y) - (g1^4*t^8.34)/(g2^11*y) - (g1^2*t^8.53)/(g2^8*y) + (g1^4*t^8.63)/(g2^6*y) + (2*g1^2*t^8.82)/(g2^3*y) + (2*t^8.9)/(g1^2*g2^2*y) + (g1^4*t^8.92)/(g2*y) - (t^4.14*y)/g2 - (g1^2*t^6.24*y)/g2^6 - (2*t^6.43*y)/g2^3 + (2*g1^2*t^7.39*y)/g2^7 + (t^7.57*y)/g2^4 + (g1^2*t^7.67*y)/g2^2 + 4*g2*t^7.86*y + (g2^4*t^8.04*y)/g1^2 - (g1^4*t^8.34*y)/g2^11 - (g1^2*t^8.53*y)/g2^8 + (g1^4*t^8.63*y)/g2^6 + (2*g1^2*t^8.82*y)/g2^3 + (2*t^8.9*y)/(g1^2*g2^2) + (g1^4*t^8.92*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
55562 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2X_2$ + $ M_3M_7$ | 0.6522 | 0.8146 | 0.8006 | [X:[1.614, 1.2982], M:[0.386, 0.7018, 1.1579, 0.8421, 0.7719, 0.7168, 0.8421], q:[0.8496, 0.7644], qb:[0.4486, 0.3935], phi:[0.386]] | t^2.15 + 2*t^2.32 + 2*t^2.53 + t^3.52 + t^3.64 + t^3.73 + t^3.89 + t^4.3 + 2*t^4.47 + 3*t^4.63 + 2*t^4.68 + 5*t^4.84 + 3*t^5.05 + t^5.67 + t^5.83 + t^5.88 + t^5.95 - 3*t^6. - t^4.16/y - t^4.16*y | detail | |
55587 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2X_2$ + $ M_6q_1\tilde{q}_2$ | 0.6389 | 0.7907 | 0.808 | [X:[1.6197, 1.3382], M:[0.3803, 0.6618, 1.1408, 0.8592, 0.7605, 0.7111], q:[0.8839, 0.7358], qb:[0.4543, 0.4049], phi:[0.3803]] | t^2.13 + 2*t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.87 + t^4.01 + t^4.27 + 2*t^4.41 + 3*t^4.56 + t^4.71 + 3*t^4.86 + t^5.16 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
46532 | 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_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.3822, 0.6756, 1.1467, 0.8533, 0.7645], q:[0.8755, 0.7423], qb:[0.4489, 0.4044], phi:[0.3822]] | t^2.03 + 2*t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + 2*t^3.84 + t^4.05 + 2*t^4.32 + 4*t^4.59 + 3*t^4.85 + t^5.12 + t^5.47 + 2*t^5.6 + t^5.73 + 4*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*y | detail |