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 |
---|---|---|---|---|---|---|---|---|---|
738 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ | 0.614 | 0.75 | 0.8186 | [X:[], M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | [X:[], M:[[-6], [-14], [6], [6], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 0 | t^2.38 + 2*t^2.43 + t^3.53 + t^3.57 + t^3.62 + 2*t^3.66 + t^3.7 + t^4.77 + 3*t^4.81 + 3*t^4.85 + t^5.96 + 2*t^6.04 + 4*t^6.09 + 2*t^6.13 + t^7.06 + 2*t^7.19 + 4*t^7.23 + 4*t^7.28 + 3*t^7.32 + 2*t^7.36 + t^7.41 - t^8.34 - t^8.38 - 2*t^8.43 + 3*t^8.47 + 6*t^8.51 + 3*t^8.55 - t^4.19/y - t^6.57/y - t^6.62/y + t^7.77/y + (3*t^7.81)/y + t^7.85/y + t^8.91/y + (2*t^8.96)/y - t^4.19*y - t^6.57*y - t^6.62*y + t^7.77*y + 3*t^7.81*y + t^7.85*y + t^8.91*y + 2*t^8.96*y | t^2.38/g1^4 + 2*g1^6*t^2.43 + t^3.53/g1^16 + t^3.57/g1^6 + g1^4*t^3.62 + 2*g1^14*t^3.66 + g1^24*t^3.7 + t^4.77/g1^8 + 3*g1^2*t^4.81 + 3*g1^12*t^4.85 + t^5.96/g1^10 + 2*g1^10*t^6.04 + 4*g1^20*t^6.09 + 2*g1^30*t^6.13 + t^7.06/g1^32 + (2*t^7.19)/g1^2 + 4*g1^8*t^7.23 + 4*g1^18*t^7.28 + 3*g1^28*t^7.32 + 2*g1^38*t^7.36 + g1^48*t^7.41 - t^8.34/g1^14 - t^8.38/g1^4 - 2*g1^6*t^8.43 + 3*g1^16*t^8.47 + 6*g1^26*t^8.51 + 3*g1^36*t^8.55 - t^4.19/(g1^2*y) - t^6.57/(g1^6*y) - (g1^4*t^6.62)/y + t^7.77/(g1^8*y) + (3*g1^2*t^7.81)/y + (g1^12*t^7.85)/y + t^8.91/(g1^20*y) + (2*t^8.96)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.57*y)/g1^6 - g1^4*t^6.62*y + (t^7.77*y)/g1^8 + 3*g1^2*t^7.81*y + g1^12*t^7.85*y + (t^8.91*y)/g1^20 + (2*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
1212 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ | 0.6301 | 0.7792 | 0.8086 | [X:[], M:[1.1962, 0.7912, 0.8038, 0.8038, 1.2088, 0.8038], q:[0.8006, 0.4082], qb:[0.3956, 0.8006], phi:[0.3987]] | t^2.39 + 3*t^2.41 + t^3.57 + t^3.61 + 2*t^3.63 + t^3.65 + t^4.78 + 4*t^4.8 + 6*t^4.82 + t^5.98 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
1214 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6309 | 0.7794 | 0.8094 | [X:[], M:[1.1884, 0.773, 0.8116, 0.8116, 1.227, 0.7923], q:[0.8019, 0.4251], qb:[0.3865, 0.8019], phi:[0.3961]] | 2*t^2.38 + 2*t^2.43 + t^3.51 + t^3.57 + 2*t^3.68 + t^3.74 + 3*t^4.75 + 5*t^4.81 + 3*t^4.87 + t^5.88 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail | |
1990 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.6332 | 0.7848 | 0.8069 | [X:[], M:[1.1817, 0.7572, 0.8183, 0.8183, 1.2428, 0.7266], q:[0.8031, 0.4397], qb:[0.3786, 0.8031], phi:[0.3939]] | t^2.18 + t^2.36 + 2*t^2.46 + t^3.45 + t^3.54 + t^3.64 + 2*t^3.73 + t^4.36 + t^4.54 + 2*t^4.63 + t^4.73 + 3*t^4.82 + 3*t^4.91 + t^5.63 + t^5.72 + t^5.82 + 3*t^5.91 - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
441 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ | 0.6321 | 0.7818 | 0.8086 | [X:[], M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.28 + t^2.37 + 2*t^2.45 + t^3.46 + t^3.55 + t^3.63 + t^3.72 + t^3.8 + t^4.56 + t^4.65 + 3*t^4.73 + 3*t^4.82 + 3*t^4.9 + t^5.75 + t^5.83 + 2*t^5.92 + t^6. - t^4.18/y - t^4.18*y | detail |