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 |
---|---|---|---|---|---|---|---|---|---|
1346 | 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$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6214 | 0.8287 | 0.7498 | [X:[], M:[0.9268, 1.2197, 1.0732, 0.7803, 0.6831, 0.6831], q:[0.7317, 0.3416], qb:[0.3416, 0.4387], phi:[0.5366]] | [X:[], M:[[4], [-12], [-4], [12], [-10], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ 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$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ 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_3M_5$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ 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_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_6$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \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$ | -1 | 3*t^2.05 + 2*t^2.34 + 3*t^3.22 + t^3.51 + 3*t^3.66 + 6*t^4.1 + t^4.24 + 6*t^4.39 + 3*t^4.68 + 9*t^5.27 + 8*t^5.56 + 7*t^5.71 + 2*t^5.85 - t^6. + 10*t^6.15 + 13*t^6.44 + 2*t^6.58 + 9*t^6.73 + 6*t^6.88 + 4*t^7.02 - 3*t^7.17 + 21*t^7.32 + t^7.46 + 13*t^7.61 + t^7.75 + 12*t^7.76 + 10*t^7.9 - 7*t^8.05 + 3*t^8.19 + 15*t^8.2 - 8*t^8.34 + t^8.48 + 23*t^8.49 + 19*t^8.78 + 3*t^8.92 + 13*t^8.93 - t^4.61/y - (2*t^6.66)/y + (3*t^7.1)/y + (7*t^7.39)/y + t^7.68/y - t^7.83/y + (9*t^8.27)/y + (11*t^8.56)/y + (6*t^8.71)/y + (2*t^8.85)/y - t^4.61*y - 2*t^6.66*y + 3*t^7.1*y + 7*t^7.39*y + t^7.68*y - t^7.83*y + 9*t^8.27*y + 11*t^8.56*y + 6*t^8.71*y + 2*t^8.85*y | (3*t^2.05)/g1^10 + 2*g1^12*t^2.34 + (3*t^3.22)/g1^4 + g1^18*t^3.51 + (3*t^3.66)/g1^12 + (6*t^4.1)/g1^20 + g1^32*t^4.24 + 6*g1^2*t^4.39 + 3*g1^24*t^4.68 + (9*t^5.27)/g1^14 + 8*g1^8*t^5.56 + (7*t^5.71)/g1^22 + 2*g1^30*t^5.85 - t^6. + (10*t^6.15)/g1^30 + (13*t^6.44)/g1^8 + 2*g1^44*t^6.58 + 9*g1^14*t^6.73 + (6*t^6.88)/g1^16 + 4*g1^36*t^7.02 - 3*g1^6*t^7.17 + (21*t^7.32)/g1^24 + g1^28*t^7.46 + (13*t^7.61)/g1^2 + g1^50*t^7.75 + (12*t^7.76)/g1^32 + 10*g1^20*t^7.9 - (7*t^8.05)/g1^10 + 3*g1^42*t^8.19 + (15*t^8.2)/g1^40 - 8*g1^12*t^8.34 + g1^64*t^8.48 + (23*t^8.49)/g1^18 + 19*g1^4*t^8.78 + 3*g1^56*t^8.92 + (13*t^8.93)/g1^26 - t^4.61/(g1^2*y) - (2*t^6.66)/(g1^12*y) + (3*t^7.1)/(g1^20*y) + (7*g1^2*t^7.39)/y + (g1^24*t^7.68)/y - t^7.83/(g1^6*y) + (9*t^8.27)/(g1^14*y) + (11*g1^8*t^8.56)/y + (6*t^8.71)/(g1^22*y) + (2*g1^30*t^8.85)/y - (t^4.61*y)/g1^2 - (2*t^6.66*y)/g1^12 + (3*t^7.1*y)/g1^20 + 7*g1^2*t^7.39*y + g1^24*t^7.68*y - (t^7.83*y)/g1^6 + (9*t^8.27*y)/g1^14 + 11*g1^8*t^8.56*y + (6*t^8.71*y)/g1^22 + 2*g1^30*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
2409 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6392 | 0.8604 | 0.743 | [X:[], M:[0.9237, 1.2289, 1.0763, 0.7711, 0.6907, 0.6907, 0.7711], q:[0.7309, 0.3454], qb:[0.3454, 0.4257], phi:[0.5381]] | 3*t^2.07 + 3*t^2.31 + 3*t^3.23 + t^3.47 + 2*t^3.69 + 6*t^4.14 + t^4.17 + 9*t^4.39 + 6*t^4.63 + 9*t^5.3 + 11*t^5.54 + 4*t^5.76 + 3*t^5.78 - t^6. - t^4.61/y - t^4.61*y | detail | |
2408 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6369 | 0.8573 | 0.7428 | [X:[], M:[0.9325, 1.2025, 1.0675, 0.7975, 0.6687, 0.6687, 0.8037], q:[0.7331, 0.3344], qb:[0.3344, 0.4631], phi:[0.5337]] | 3*t^2.01 + 2*t^2.39 + t^2.41 + 3*t^3.2 + 3*t^3.61 + 6*t^4.01 + t^4.38 + 6*t^4.4 + 3*t^4.42 + 3*t^4.79 + 2*t^4.8 + t^4.82 + 9*t^5.21 + 5*t^5.6 + 10*t^5.61 - 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 |
---|---|---|---|---|---|---|---|---|---|
853 | 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$ + $ 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 |