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 |
---|---|---|---|---|---|---|---|---|---|
50998 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6301 | 0.7794 | 0.8084 | [X:[], M:[1.1971, 0.8029, 0.8029, 0.7931, 1.202, 0.8078], q:[0.3966, 0.4064], qb:[0.8005, 0.8005], phi:[0.399]] | [X:[], M:[[-6], [6], [6], [-14], [4], [16]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ M_3$, $ M_6$, $ M_1$, $ M_5$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_2M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3M_6$, $ M_6^2$ | $M_1M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0 | t^2.38 + 2*t^2.41 + t^2.42 + t^3.59 + 2*t^3.61 + t^3.62 + t^3.64 + t^4.76 + 2*t^4.79 + 2*t^4.8 + 3*t^4.82 + 2*t^4.83 + t^4.85 + 4*t^6.01 + 3*t^6.03 + 3*t^6.04 + t^6.06 + t^7.14 + t^7.17 + t^7.2 + 3*t^7.21 + 6*t^7.23 + 5*t^7.24 + 3*t^7.26 + 2*t^7.27 - 3*t^8.38 - t^8.39 - 2*t^8.41 + 3*t^8.42 + 5*t^8.44 + 6*t^8.45 + 3*t^8.47 + t^8.48 - t^4.2/y - t^6.58/y - t^6.61/y - t^6.62/y + t^7.77/y + (3*t^7.79)/y + t^7.8/y + (2*t^7.82)/y + (2*t^7.83)/y - t^8.96/y + t^8.97/y + t^8.99/y - t^4.2*y - t^6.58*y - t^6.61*y - t^6.62*y + t^7.77*y + 3*t^7.79*y + t^7.8*y + 2*t^7.82*y + 2*t^7.83*y - t^8.96*y + t^8.97*y + t^8.99*y | t^2.38/g1^14 + 2*g1^6*t^2.41 + g1^16*t^2.42 + t^3.59/g1^6 + 2*g1^4*t^3.61 + g1^14*t^3.62 + g1^24*t^3.64 + t^4.76/g1^28 + (2*t^4.79)/g1^8 + 2*g1^2*t^4.8 + 3*g1^12*t^4.82 + 2*g1^22*t^4.83 + g1^32*t^4.85 + 4*g1^10*t^6.01 + 3*g1^20*t^6.03 + 3*g1^30*t^6.04 + g1^40*t^6.06 + t^7.14/g1^42 + t^7.17/g1^22 + t^7.2/g1^2 + 3*g1^8*t^7.21 + 6*g1^18*t^7.23 + 5*g1^28*t^7.24 + 3*g1^38*t^7.26 + 2*g1^48*t^7.27 - (3*t^8.38)/g1^14 - t^8.39/g1^4 - 2*g1^6*t^8.41 + 3*g1^16*t^8.42 + 5*g1^26*t^8.44 + 6*g1^36*t^8.45 + 3*g1^46*t^8.47 + g1^56*t^8.48 - t^4.2/(g1^2*y) - t^6.58/(g1^16*y) - (g1^4*t^6.61)/y - (g1^14*t^6.62)/y + t^7.77/(g1^18*y) + (3*t^7.79)/(g1^8*y) + (g1^2*t^7.8)/y + (2*g1^12*t^7.82)/y + (2*g1^22*t^7.83)/y - t^8.96/(g1^30*y) + t^8.97/(g1^20*y) + t^8.99/(g1^10*y) - (t^4.2*y)/g1^2 - (t^6.58*y)/g1^16 - g1^4*t^6.61*y - g1^14*t^6.62*y + (t^7.77*y)/g1^18 + (3*t^7.79*y)/g1^8 + g1^2*t^7.8*y + 2*g1^12*t^7.82*y + 2*g1^22*t^7.83*y - (t^8.96*y)/g1^30 + (t^8.97*y)/g1^20 + (t^8.99*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
56198 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_7$ | 0.6465 | 0.8092 | 0.799 | [X:[], M:[1.2006, 0.7994, 0.7994, 0.8013, 1.1996, 0.7985, 0.7994], q:[0.4007, 0.3988], qb:[0.7999, 0.7999], phi:[0.4002]] | 5*t^2.4 + t^3.59 + 3*t^3.6 + 4*t^4.79 + 11*t^4.8 + t^4.81 + 9*t^5.99 + 3*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
47003 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail |