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 |
---|---|---|---|---|---|---|---|---|---|
2769 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.826, 1.6305, 1.4565], M:[1.087, 0.174, 0.913, 0.3695, 0.7175], q:[0.5054, 1.2229], qb:[0.4076, 0.7771], phi:[0.2718]] | [X:[[16], [-12], [4]], M:[[-8], [-16], [8], [12], [-20]], q:[[11], [-9]], qb:[[-3], [9]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_3$, $ M_3M_5$, $ X_2$, $ M_1M_5$, $ M_3^2$, $ X_1$ | . | -1 | t^2.15 + t^2.74 + t^3.26 + t^3.55 + t^4.31 + t^4.37 + t^4.89 + t^5.41 + t^5.48 - t^6. + t^6.46 + t^6.52 + t^7.04 + t^7.57 + t^7.63 - t^8.15 + t^8.61 + t^8.67 - t^8.74 - 2*t^8.97 - t^8.97/y^2 - t^3.82/y - t^5.97/y + t^7.66/y + t^7.89/y - t^8.12/y + t^8.41/y + t^8.71/y - t^3.82*y - t^5.97*y + t^7.66*y + t^7.89*y - t^8.12*y + t^8.41*y + t^8.71*y - t^8.97*y^2 | t^2.15/g1^20 + g1^8*t^2.74 + t^3.26/g1^8 + g1^6*t^3.55 + t^4.31/g1^40 + g1^4*t^4.37 + t^4.89/g1^12 + t^5.41/g1^28 + g1^16*t^5.48 - t^6. + t^6.46/g1^60 + t^6.52/g1^16 + t^7.04/g1^32 + t^7.57/g1^48 + t^7.63/g1^4 - t^8.15/g1^20 + t^8.61/g1^80 + t^8.67/g1^36 - g1^8*t^8.74 - (2*t^8.97)/g1^22 - t^8.97/(g1^22*y^2) - t^3.82/(g1^2*y) - t^5.97/(g1^22*y) + (g1^18*t^7.66)/y + t^7.89/(g1^12*y) - t^8.12/(g1^42*y) + t^8.41/(g1^28*y) + t^8.71/(g1^14*y) - (t^3.82*y)/g1^2 - (t^5.97*y)/g1^22 + g1^18*t^7.66*y + (t^7.89*y)/g1^12 - (t^8.12*y)/g1^42 + (t^8.41*y)/g1^28 + (t^8.71*y)/g1^14 - (t^8.97*y^2)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
3283 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_1M_6$ | 0.4729 | 0.5526 | 0.8558 | [X:[1.7991, 1.6507, 1.4498], M:[1.1005, 0.2009, 0.8995, 0.3493, 0.7512, 0.8995], q:[0.4869, 1.238], qb:[0.4127, 0.762], phi:[0.2751]] | t^2.25 + 2*t^2.7 + t^3.52 + t^4.35 + t^4.51 + 2*t^4.95 + 3*t^5.4 - 2*t^6. - t^3.83/y - t^3.83*y | detail | |
3282 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_5^2$ | 0.4274 | 0.4962 | 0.8614 | [X:[1.6, 1.8, 1.4], M:[1.2, 0.4, 0.8, 0.2, 1.0], q:[0.35, 1.35], qb:[0.45, 0.65], phi:[0.3]] | t^2.4 + t^3. + t^3.3 + t^3.6 + t^4.2 + t^4.8 + t^5.4 - t^3.9/y - t^3.9*y | detail | {a: 13677/32000, c: 15877/32000, X1: 8/5, X2: 9/5, X3: 7/5, M1: 6/5, M2: 2/5, M3: 4/5, M4: 1/5, M5: 1, q1: 7/20, q2: 27/20, qb1: 9/20, qb2: 13/20, phi1: 3/10} |
3284 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.4801 | 0.5664 | 0.8477 | [X:[1.8405, 1.6196, 1.4601], M:[1.0797, 0.1595, 0.9203, 0.3804, 0.6994, 0.8098], q:[0.5154, 1.2147], qb:[0.4049, 0.7853], phi:[0.2699]] | t^2.1 + t^2.43 + t^2.76 + t^3.24 + t^4.2 + t^4.38 + t^4.53 + 2*t^4.86 + t^5.19 + t^5.34 + t^5.52 - t^6. - t^3.81/y - t^5.91/y - t^3.81*y - t^5.91*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 |
---|---|---|---|---|---|---|---|---|---|
1768 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4629], M:[1.0, 0.5371, 1.0, 0.7685, 0.7685], q:[0.6921, 0.9236], qb:[0.3079, 0.5393], phi:[0.3843]] | 3*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + 6*t^4.61 + 4*t^4.85 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^6. - t^4.15/y - t^4.15*y | detail |