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 |
---|---|---|---|---|---|---|---|---|---|
2409 | 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$ + $ 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]] | [X:[], M:[[4], [-12], [-4], [12], [-10], [-10], [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_7$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_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_5M_7$, $ M_6M_7$, $ M_4q_2\tilde{q}_1$, $ M_7q_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_7$, $ M_7^2$, $ M_4q_2\tilde{q}_2$, $ M_7q_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_3M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_7q_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_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$, $ M_7q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$ | -1 | 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. + 10*t^6.22 + 19*t^6.46 + 3*t^6.48 + 18*t^6.7 + 3*t^6.92 + 10*t^6.94 - 4*t^7.16 + 18*t^7.37 + t^7.4 + 22*t^7.61 + t^7.64 + 6*t^7.83 + 20*t^7.86 - 9*t^8.07 + 6*t^8.1 + 15*t^8.29 - 12*t^8.31 + t^8.34 + 33*t^8.53 + 38*t^8.77 + 6*t^8.8 + 4*t^8.99 - t^4.61/y - (2*t^6.69)/y - t^6.93/y + (3*t^7.14)/y + (10*t^7.39)/y + (3*t^7.63)/y - t^7.84/y + (10*t^8.3)/y + (14*t^8.54)/y + (3*t^8.76)/y + (3*t^8.78)/y - t^4.61*y - 2*t^6.69*y - t^6.93*y + 3*t^7.14*y + 10*t^7.39*y + 3*t^7.63*y - t^7.84*y + 10*t^8.3*y + 14*t^8.54*y + 3*t^8.76*y + 3*t^8.78*y | (3*t^2.07)/g1^10 + 3*g1^12*t^2.31 + (3*t^3.23)/g1^4 + g1^18*t^3.47 + (2*t^3.69)/g1^12 + (6*t^4.14)/g1^20 + g1^32*t^4.17 + 9*g1^2*t^4.39 + 6*g1^24*t^4.63 + (9*t^5.3)/g1^14 + 11*g1^8*t^5.54 + (4*t^5.76)/g1^22 + 3*g1^30*t^5.78 - t^6. + (10*t^6.22)/g1^30 + (19*t^6.46)/g1^8 + 3*g1^44*t^6.48 + 18*g1^14*t^6.7 + (3*t^6.92)/g1^16 + 10*g1^36*t^6.94 - 4*g1^6*t^7.16 + (18*t^7.37)/g1^24 + g1^28*t^7.4 + (22*t^7.61)/g1^2 + g1^50*t^7.64 + (6*t^7.83)/g1^32 + 20*g1^20*t^7.86 - (9*t^8.07)/g1^10 + 6*g1^42*t^8.1 + (15*t^8.29)/g1^40 - 12*g1^12*t^8.31 + g1^64*t^8.34 + (33*t^8.53)/g1^18 + 38*g1^4*t^8.77 + 6*g1^56*t^8.8 + (4*t^8.99)/g1^26 - t^4.61/(g1^2*y) - (2*t^6.69)/(g1^12*y) - (g1^10*t^6.93)/y + (3*t^7.14)/(g1^20*y) + (10*g1^2*t^7.39)/y + (3*g1^24*t^7.63)/y - t^7.84/(g1^6*y) + (10*t^8.3)/(g1^14*y) + (14*g1^8*t^8.54)/y + (3*t^8.76)/(g1^22*y) + (3*g1^30*t^8.78)/y - (t^4.61*y)/g1^2 - (2*t^6.69*y)/g1^12 - g1^10*t^6.93*y + (3*t^7.14*y)/g1^20 + 10*g1^2*t^7.39*y + 3*g1^24*t^7.63*y - (t^7.84*y)/g1^6 + (10*t^8.3*y)/g1^14 + 14*g1^8*t^8.54*y + (3*t^8.76*y)/g1^22 + 3*g1^30*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
4450 | $M_1q_1q_2$ + $ 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$ + $ M_8\phi_1q_2^2$ | 0.6575 | 0.8935 | 0.7359 | [X:[], M:[0.9211, 1.2368, 1.0789, 0.7632, 0.6973, 0.6973, 0.7632, 0.7632], q:[0.7303, 0.3487], qb:[0.3487, 0.4145], phi:[0.5395]] | 3*t^2.09 + 4*t^2.29 + 3*t^3.24 + t^3.43 + t^3.71 + t^4.11 + 6*t^4.18 + 12*t^4.38 + 10*t^4.58 + 9*t^5.33 + 14*t^5.53 + 4*t^5.72 + t^5.8 - 3*t^6. - t^4.62/y - t^4.62*y | detail | |
4449 | $M_1q_1q_2$ + $ 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$ + $ M_8q_1\tilde{q}_2$ | 0.6538 | 0.8861 | 0.7378 | [X:[], M:[0.9294, 1.2118, 1.0706, 0.7882, 0.6765, 0.6765, 0.7882, 0.8177], q:[0.7324, 0.3382], qb:[0.3382, 0.45], phi:[0.5353]] | 3*t^2.03 + 3*t^2.36 + t^2.45 + 3*t^3.21 + 2*t^3.64 + 6*t^4.06 + t^4.31 + 9*t^4.39 + 3*t^4.48 + 6*t^4.73 + 3*t^4.82 + t^4.91 + 9*t^5.24 + 8*t^5.58 + 7*t^5.66 - 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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.61/y - t^4.61*y | detail |