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 |
---|---|---|---|---|---|---|---|---|---|
55257 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6053 | 0.7788 | 0.7773 | [X:[1.3875], M:[0.6125, 0.7001, 1.0, 1.075, 1.075, 0.6875], q:[0.7687, 0.6188], qb:[0.5312, 0.2313], phi:[0.4625]] | [X:[[6]], M:[[-6], [16], [0], [-4], [-4], [-10]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ X_1$, $ M_2^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3M_6$, $ M_2M_3$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_6q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | . | -2 | t^2.06 + t^2.1 + t^2.29 + t^2.55 + t^3. + 2*t^3.22 + t^3.45 + t^3.67 + t^4.12 + 2*t^4.16 + t^4.2 + t^4.35 + t^4.39 + 2*t^4.57 + t^4.61 + t^4.65 + t^4.84 + t^5.06 + 2*t^5.1 + 3*t^5.29 + 2*t^5.33 + 3*t^5.51 + 2*t^5.55 + t^5.74 + 2*t^5.78 + t^5.96 - 2*t^6. + t^6.19 + 3*t^6.22 + t^6.26 + t^6.3 + t^6.41 + 4*t^6.45 + 2*t^6.64 + 4*t^6.67 + t^6.71 + t^6.75 + 2*t^6.86 + 2*t^6.9 - t^6.94 + 2*t^7.12 + t^7.16 + 2*t^7.2 + 3*t^7.35 + 3*t^7.39 + 2*t^7.43 + 4*t^7.57 + 2*t^7.61 + 2*t^7.65 + 4*t^7.8 + 2*t^7.84 + t^7.88 + 2*t^8.02 - t^8.06 - 2*t^8.1 + 3*t^8.25 + 3*t^8.33 + t^8.36 + t^8.4 + t^8.47 + 4*t^8.51 + 2*t^8.7 + 7*t^8.74 + 3*t^8.78 + t^8.81 + t^8.85 + 2*t^8.92 + 3*t^8.96 - t^4.39/y - t^6.45/y - t^6.49/y + (2*t^7.16)/y + t^7.35/y + t^7.39/y + t^7.65/y + t^7.84/y + t^8.06/y + t^8.1/y + (4*t^8.29)/y + (3*t^8.33)/y + (2*t^8.51)/y + t^8.55/y - t^8.59/y + (2*t^8.74)/y + (3*t^8.78)/y + t^8.96/y - t^4.39*y - t^6.45*y - t^6.49*y + 2*t^7.16*y + t^7.35*y + t^7.39*y + t^7.65*y + t^7.84*y + t^8.06*y + t^8.1*y + 4*t^8.29*y + 3*t^8.33*y + 2*t^8.51*y + t^8.55*y - t^8.59*y + 2*t^8.74*y + 3*t^8.78*y + t^8.96*y | t^2.06/g1^10 + g1^16*t^2.1 + t^2.29/g1^14 + g1^8*t^2.55 + t^3. + (2*t^3.22)/g1^4 + t^3.45/g1^8 + t^3.67/g1^12 + t^4.12/g1^20 + 2*g1^6*t^4.16 + g1^32*t^4.2 + t^4.35/g1^24 + g1^2*t^4.39 + (2*t^4.57)/g1^28 + t^4.61/g1^2 + g1^24*t^4.65 + t^4.84/g1^6 + t^5.06/g1^10 + 2*g1^16*t^5.1 + (3*t^5.29)/g1^14 + 2*g1^12*t^5.33 + (3*t^5.51)/g1^18 + 2*g1^8*t^5.55 + t^5.74/g1^22 + 2*g1^4*t^5.78 + t^5.96/g1^26 - 2*t^6. + t^6.19/g1^30 + (3*t^6.22)/g1^4 + g1^22*t^6.26 + g1^48*t^6.3 + t^6.41/g1^34 + (4*t^6.45)/g1^8 + (2*t^6.64)/g1^38 + (4*t^6.67)/g1^12 + g1^14*t^6.71 + g1^40*t^6.75 + (2*t^6.86)/g1^42 + (2*t^6.9)/g1^16 - g1^10*t^6.94 + (2*t^7.12)/g1^20 + g1^6*t^7.16 + 2*g1^32*t^7.2 + (3*t^7.35)/g1^24 + 3*g1^2*t^7.39 + 2*g1^28*t^7.43 + (4*t^7.57)/g1^28 + (2*t^7.61)/g1^2 + 2*g1^24*t^7.65 + (4*t^7.8)/g1^32 + (2*t^7.84)/g1^6 + g1^20*t^7.88 + (2*t^8.02)/g1^36 - t^8.06/g1^10 - 2*g1^16*t^8.1 + (3*t^8.25)/g1^40 + 3*g1^12*t^8.33 + g1^38*t^8.36 + g1^64*t^8.4 + t^8.47/g1^44 + (4*t^8.51)/g1^18 + (2*t^8.7)/g1^48 + (7*t^8.74)/g1^22 + 3*g1^4*t^8.78 + g1^30*t^8.81 + g1^56*t^8.85 + (2*t^8.92)/g1^52 + (3*t^8.96)/g1^26 - (g1^2*t^4.39)/y - t^6.45/(g1^8*y) - (g1^18*t^6.49)/y + (2*g1^6*t^7.16)/y + t^7.35/(g1^24*y) + (g1^2*t^7.39)/y + (g1^24*t^7.65)/y + t^7.84/(g1^6*y) + t^8.06/(g1^10*y) + (g1^16*t^8.1)/y + (4*t^8.29)/(g1^14*y) + (3*g1^12*t^8.33)/y + (2*t^8.51)/(g1^18*y) + (g1^8*t^8.55)/y - (g1^34*t^8.59)/y + (2*t^8.74)/(g1^22*y) + (3*g1^4*t^8.78)/y + t^8.96/(g1^26*y) - g1^2*t^4.39*y - (t^6.45*y)/g1^8 - g1^18*t^6.49*y + 2*g1^6*t^7.16*y + (t^7.35*y)/g1^24 + g1^2*t^7.39*y + g1^24*t^7.65*y + (t^7.84*y)/g1^6 + (t^8.06*y)/g1^10 + g1^16*t^8.1*y + (4*t^8.29*y)/g1^14 + 3*g1^12*t^8.33*y + (2*t^8.51*y)/g1^18 + g1^8*t^8.55*y - g1^34*t^8.59*y + (2*t^8.74*y)/g1^22 + 3*g1^4*t^8.78*y + (t^8.96*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56891 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_7$ | 0.5849 | 0.7406 | 0.7897 | [X:[1.3911], M:[0.6089, 0.7095, 1.0, 1.0726, 1.0726, 0.6816, 1.2905], q:[0.7682, 0.6229], qb:[0.5224, 0.2318], phi:[0.4637]] | t^2.04 + t^2.26 + t^2.56 + t^3. + 2*t^3.22 + t^3.44 + t^3.65 + t^3.87 + t^4.09 + t^4.17 + t^4.31 + 2*t^4.53 + t^4.61 + t^4.83 + t^5.04 + t^5.13 + 3*t^5.26 + 3*t^5.48 + t^5.56 + t^5.7 + t^5.78 + 2*t^5.92 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
56892 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ | 0.6187 | 0.8013 | 0.7722 | [X:[1.3818], M:[0.6182, 0.6848, 1.0, 1.0788, 1.0788, 0.697, 0.8424], q:[0.7697, 0.6121], qb:[0.5455, 0.2303], phi:[0.4606]] | t^2.05 + t^2.09 + t^2.33 + 2*t^2.53 + t^3. + 2*t^3.24 + t^3.71 + t^4.11 + 2*t^4.15 + t^4.18 + t^4.38 + t^4.42 + 2*t^4.58 + 2*t^4.62 + 2*t^4.65 + 2*t^4.85 + 4*t^5.05 + t^5.09 + 2*t^5.29 + 3*t^5.33 + 2*t^5.53 + 2*t^5.56 + 4*t^5.76 - 3*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
46926 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6433 | 0.8468 | 0.7596 | [X:[], M:[0.7397, 0.7573, 1.0, 1.0012, 1.0012, 0.7409], q:[0.7503, 0.51], qb:[0.4924, 0.2497], phi:[0.4994]] | 2*t^2.22 + t^2.23 + t^2.27 + t^2.28 + 3*t^3. + t^3.01 + t^3.72 + 2*t^4.44 + 5*t^4.45 + 2*t^4.49 + 3*t^4.5 + 2*t^4.51 + t^4.54 + t^4.55 + 2*t^4.56 + 3*t^5.22 + 8*t^5.23 + 6*t^5.28 + t^5.29 + t^5.94 + t^5.95 - t^6. - t^4.5/y - t^4.5*y | detail |