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 |
---|---|---|---|---|---|---|---|---|---|
3886 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ + $ M_2M_6$ + $ M_1X_2$ | 0.5867 | 0.7259 | 0.8083 | [X:[1.1773, 1.379], M:[0.621, 0.9919, 0.8227, 0.7903, 1.2097, 1.0081, 0.7903], q:[0.883, 0.496], qb:[0.2943, 0.7138], phi:[0.4032]] | [X:[[28], [26]], M:[[-26], [10], [-28], [12], [-12], [-10], [12]], q:[[21], [5]], qb:[[7], [-17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_7$, $ \phi_1^2$, $ M_2$, $ M_6$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ X_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_4X_1$, $ M_7X_1$, $ M_2^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1^2X_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | 2*t^2.37 + t^2.42 + t^2.98 + t^3.02 + t^3.53 + t^3.58 + t^4.14 + t^4.19 + 3*t^4.74 + 3*t^4.79 + t^4.84 + 2*t^5.35 + 2*t^5.4 + 2*t^5.9 + 3*t^5.95 - t^6. + 3*t^6.51 + 3*t^6.56 - t^6.6 - t^6.65 + t^7.06 + 5*t^7.11 + 4*t^7.16 + t^7.21 + t^7.67 + 4*t^7.72 + 2*t^7.77 - t^7.81 + 4*t^8.27 + 6*t^8.32 - 2*t^8.37 - 3*t^8.42 - t^8.47 + 5*t^8.88 + 5*t^8.93 - 4*t^8.98 - t^4.21/y - t^6.58/y - t^6.63/y + t^7.74/y + (3*t^7.79)/y + t^7.84/y + (2*t^8.35)/y + (3*t^8.4)/y + t^8.44/y + (2*t^8.9)/y + (2*t^8.95)/y - t^4.21*y - t^6.58*y - t^6.63*y + t^7.74*y + 3*t^7.79*y + t^7.84*y + 2*t^8.35*y + 3*t^8.4*y + t^8.44*y + 2*t^8.9*y + 2*t^8.95*y | 2*g1^12*t^2.37 + t^2.42/g1^8 + g1^10*t^2.98 + t^3.02/g1^10 + g1^28*t^3.53 + g1^8*t^3.58 + g1^26*t^4.14 + g1^6*t^4.19 + 3*g1^24*t^4.74 + 3*g1^4*t^4.79 + t^4.84/g1^16 + 2*g1^22*t^5.35 + 2*g1^2*t^5.4 + 2*g1^40*t^5.9 + 3*g1^20*t^5.95 - t^6. + 3*g1^38*t^6.51 + 3*g1^18*t^6.56 - t^6.6/g1^2 - t^6.65/g1^22 + g1^56*t^7.06 + 5*g1^36*t^7.11 + 4*g1^16*t^7.16 + t^7.21/g1^4 + g1^54*t^7.67 + 4*g1^34*t^7.72 + 2*g1^14*t^7.77 - t^7.81/g1^6 + 4*g1^52*t^8.27 + 6*g1^32*t^8.32 - 2*g1^12*t^8.37 - (3*t^8.42)/g1^8 - t^8.47/g1^28 + 5*g1^50*t^8.88 + 5*g1^30*t^8.93 - 4*g1^10*t^8.98 - t^4.21/(g1^4*y) - (g1^8*t^6.58)/y - t^6.63/(g1^12*y) + (g1^24*t^7.74)/y + (3*g1^4*t^7.79)/y + t^7.84/(g1^16*y) + (2*g1^22*t^8.35)/y + (3*g1^2*t^8.4)/y + t^8.44/(g1^18*y) + (2*g1^40*t^8.9)/y + (2*g1^20*t^8.95)/y - (t^4.21*y)/g1^4 - g1^8*t^6.58*y - (t^6.63*y)/g1^12 + g1^24*t^7.74*y + 3*g1^4*t^7.79*y + (t^7.84*y)/g1^16 + 2*g1^22*t^8.35*y + 3*g1^2*t^8.4*y + (t^8.44*y)/g1^18 + 2*g1^40*t^8.9*y + 2*g1^20*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
5476 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ + $ M_2M_6$ + $ M_1X_2$ + $ M_2M_8$ | 0.5866 | 0.7234 | 0.8109 | [X:[1.2149, 1.4138], M:[0.5862, 1.0053, 0.7851, 0.8064, 1.1936, 0.9947, 0.8064, 0.9947], q:[0.9112, 0.5027], qb:[0.3037, 0.691], phi:[0.3979]] | t^2.39 + 2*t^2.42 + 2*t^2.98 + t^3.61 + t^3.64 + t^4.21 + t^4.24 + t^4.77 + 3*t^4.81 + 3*t^4.84 + t^5.37 + 3*t^5.4 + 2*t^5.97 - 2*t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
3400 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ | 0.6702 | 0.8472 | 0.7911 | [X:[1.307], M:[0.7557, 0.7831, 0.693, 0.8459, 1.1541, 0.7067, 0.8459], q:[0.8527, 0.3916], qb:[0.4543, 0.7626], phi:[0.3847]] | t^2.12 + t^2.27 + t^2.31 + t^2.35 + 2*t^2.54 + t^3.5 + t^3.69 + t^3.92 + t^4.24 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.62 + 3*t^4.66 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.62 + t^5.81 + t^5.85 - 2*t^6. - t^4.15/y - t^4.15*y | detail |