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 |
---|---|---|---|---|---|---|---|---|---|
4453 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_2M_8$ | 0.661 | 0.8975 | 0.7365 | [X:[], M:[0.9187, 1.2438, 0.9187, 0.7562, 0.7032, 0.7032, 0.9187, 0.7562], q:[0.7297, 0.3516], qb:[0.3516, 0.4046], phi:[0.5406]] | [X:[], M:[[4], [-12], [4], [12], [-10], [-10], [4], [12]], 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$, $ M_8$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ 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$, $ M_4M_5$, $ M_4M_6$, $ M_5M_8$, $ M_6M_8$, $ M_4q_2\tilde{q}_1$, $ M_8q_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_4M_8$, $ M_8^2$, $ M_4q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_4M_7$, $ M_1M_8$, $ M_3M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_7$, $ M_3M_7$, $ M_7^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ 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$ | $M_8\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$ | -1 | 3*t^2.11 + 3*t^2.27 + 3*t^2.76 + t^3.4 + 2*t^3.73 + t^4.05 + 6*t^4.22 + 9*t^4.38 + 6*t^4.54 + 9*t^4.87 + 9*t^5.02 + 8*t^5.51 + 3*t^5.67 + 4*t^5.84 - t^6. + 3*t^6.16 + 3*t^6.32 + 10*t^6.33 + 19*t^6.49 + 15*t^6.65 + 13*t^6.81 + 15*t^6.98 + 23*t^7.13 + 16*t^7.29 + t^7.45 + 13*t^7.62 + 20*t^7.78 + 6*t^7.94 + 6*t^7.95 + t^8.1 - 9*t^8.11 + 4*t^8.27 + 9*t^8.43 + 15*t^8.44 + 6*t^8.59 + 27*t^8.6 + 11*t^8.76 + 27*t^8.92 - t^4.62/y - (2*t^6.73)/y - t^6.89/y + (3*t^7.22)/y + (7*t^7.38)/y + (3*t^7.54)/y + (11*t^7.87)/y + (9*t^8.02)/y + t^8.35/y + (8*t^8.51)/y + (3*t^8.67)/y + (3*t^8.84)/y - t^4.62*y - 2*t^6.73*y - t^6.89*y + 3*t^7.22*y + 7*t^7.38*y + 3*t^7.54*y + 11*t^7.87*y + 9*t^8.02*y + t^8.35*y + 8*t^8.51*y + 3*t^8.67*y + 3*t^8.84*y | (3*t^2.11)/g1^10 + 3*g1^12*t^2.27 + 3*g1^4*t^2.76 + g1^18*t^3.4 + (2*t^3.73)/g1^12 + g1^32*t^4.05 + (6*t^4.22)/g1^20 + 9*g1^2*t^4.38 + 6*g1^24*t^4.54 + (9*t^4.87)/g1^6 + 9*g1^16*t^5.02 + 8*g1^8*t^5.51 + 3*g1^30*t^5.67 + (4*t^5.84)/g1^22 - t^6. + 3*g1^22*t^6.16 + 3*g1^44*t^6.32 + (10*t^6.33)/g1^30 + (19*t^6.49)/g1^8 + 15*g1^14*t^6.65 + 13*g1^36*t^6.81 + (15*t^6.98)/g1^16 + 23*g1^6*t^7.13 + 16*g1^28*t^7.29 + g1^50*t^7.45 + (13*t^7.62)/g1^2 + 20*g1^20*t^7.78 + 6*g1^42*t^7.94 + (6*t^7.95)/g1^32 + g1^64*t^8.1 - (9*t^8.11)/g1^10 + 4*g1^12*t^8.27 + 9*g1^34*t^8.43 + (15*t^8.44)/g1^40 + 6*g1^56*t^8.59 + (27*t^8.6)/g1^18 + 11*g1^4*t^8.76 + 27*g1^26*t^8.92 - t^4.62/(g1^2*y) - (2*t^6.73)/(g1^12*y) - (g1^10*t^6.89)/y + (3*t^7.22)/(g1^20*y) + (7*g1^2*t^7.38)/y + (3*g1^24*t^7.54)/y + (11*t^7.87)/(g1^6*y) + (9*g1^16*t^8.02)/y + t^8.35/(g1^14*y) + (8*g1^8*t^8.51)/y + (3*g1^30*t^8.67)/y + (3*t^8.84)/(g1^22*y) - (t^4.62*y)/g1^2 - (2*t^6.73*y)/g1^12 - g1^10*t^6.89*y + (3*t^7.22*y)/g1^20 + 7*g1^2*t^7.38*y + 3*g1^24*t^7.54*y + (11*t^7.87*y)/g1^6 + 9*g1^16*t^8.02*y + (t^8.35*y)/g1^14 + 8*g1^8*t^8.51*y + 3*g1^30*t^8.67*y + (3*t^8.84*y)/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 |
---|---|---|---|---|---|---|---|---|
5959 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_2M_8$ + $ M_9\phi_1q_2^2$ | 0.6799 | 0.9326 | 0.7291 | [X:[], M:[0.9165, 1.2506, 0.9165, 0.7494, 0.7088, 0.7088, 0.9165, 0.7494, 0.7494], q:[0.7291, 0.3544], qb:[0.3544, 0.395], phi:[0.5418]] | 3*t^2.13 + 4*t^2.25 + 3*t^2.75 + t^3.37 + t^3.75 + t^4. + 6*t^4.25 + 12*t^4.37 + 10*t^4.5 + 9*t^4.88 + 12*t^5. + 8*t^5.5 + 4*t^5.62 + t^5.88 - 3*t^6. - t^4.63/y - t^4.63*y | detail | |
5958 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_2M_8$ + $ M_9q_1\tilde{q}_2$ | 0.674 | 0.9193 | 0.7332 | [X:[], M:[0.9248, 1.2257, 0.9248, 0.7743, 0.6881, 0.6881, 0.9248, 0.7743, 0.8385], q:[0.7312, 0.344], qb:[0.344, 0.4303], phi:[0.5376]] | 3*t^2.06 + 3*t^2.32 + t^2.52 + 3*t^2.77 + 2*t^3.68 + 6*t^4.13 + t^4.19 + 9*t^4.39 + 3*t^4.58 + 6*t^4.65 + 12*t^4.84 + t^5.03 + 9*t^5.1 + 3*t^5.29 + 5*t^5.55 + 4*t^5.74 - t^6. - t^4.61/y - t^4.61*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 |
---|---|---|---|---|---|---|---|---|---|
2414 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6424 | 0.8636 | 0.7438 | [X:[], M:[0.9213, 1.236, 0.9213, 0.764, 0.6967, 0.6967, 0.9213], q:[0.7303, 0.3483], qb:[0.3483, 0.4157], phi:[0.5393]] | 3*t^2.09 + 2*t^2.29 + 3*t^2.76 + t^3.44 + 3*t^3.71 + t^4.11 + 6*t^4.18 + 6*t^4.38 + 3*t^4.58 + 9*t^4.85 + 6*t^5.06 + 8*t^5.53 + 2*t^5.73 + 7*t^5.8 - t^6. - t^4.62/y - t^4.62*y | detail |