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 |
---|---|---|---|---|---|---|---|---|---|
5028 | 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$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ | 0.683 | 0.8581 | 0.796 | [X:[1.3746], M:[1.0, 0.8007, 0.6254, 1.1753, 0.8247, 0.7491, 0.7011, 1.1993], q:[0.5996, 0.4004], qb:[0.7749, 0.4244], phi:[0.4502]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12], [8]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4$, $ M_8$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_7^2$, $ M_6M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_6^2$, $ M_5M_7$, $ M_5M_6$, $ M_7\phi_1^2$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_5\phi_1^2$, $ M_7q_1\tilde{q}_2$, $ M_1M_6$, $ M_6q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ M_1\phi_1^2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$, $ M_6M_8$ | . | -1 | t^2.1 + t^2.25 + t^2.47 + t^2.7 + t^3. + t^3.07 + t^3.53 + t^3.6 + t^3.82 + t^4.12 + t^4.21 + 2*t^4.35 + t^4.42 + t^4.49 + t^4.58 + t^4.72 + t^4.8 + 3*t^4.95 + t^5.1 + 2*t^5.18 + t^5.25 + t^5.32 + t^5.55 + t^5.63 + 2*t^5.7 + 2*t^5.77 + t^5.85 - t^6. + 2*t^6.07 + t^6.14 + t^6.23 + t^6.3 + t^6.31 + t^6.37 + 2*t^6.45 + t^6.53 + 3*t^6.6 + 2*t^6.67 + t^6.68 + t^6.74 - t^6.75 + t^6.82 + t^6.9 + t^6.91 + t^6.97 + 3*t^7.05 + t^7.12 + 4*t^7.2 + t^7.21 + t^7.28 + 4*t^7.42 + 2*t^7.49 + t^7.57 + 3*t^7.65 + t^7.73 + t^7.79 + 2*t^7.8 + t^7.88 + 3*t^7.95 + 4*t^8.02 + t^8.09 - t^8.1 + 2*t^8.32 + t^8.33 + t^8.39 + t^8.4 + t^8.41 + 2*t^8.55 + 2*t^8.56 + 2*t^8.62 + t^8.7 + 3*t^8.77 + t^8.78 + 4*t^8.85 - t^8.86 + 2*t^8.92 + t^8.99 - t^4.35/y - t^6.45/y - t^6.6/y - t^7.05/y + t^7.35/y + t^7.58/y + t^7.65/y + t^7.72/y + t^7.8/y + t^7.95/y + (2*t^8.1)/y + (2*t^8.18)/y + (2*t^8.25)/y + t^8.32/y + t^8.47/y + t^8.55/y - t^8.56/y + t^8.63/y + t^8.7/y + (2*t^8.77)/y + t^8.93/y - t^4.35*y - t^6.45*y - t^6.6*y - t^7.05*y + t^7.35*y + t^7.58*y + t^7.65*y + t^7.72*y + t^7.8*y + t^7.95*y + 2*t^8.1*y + 2*t^8.18*y + 2*t^8.25*y + t^8.32*y + t^8.47*y + t^8.55*y - t^8.56*y + t^8.63*y + t^8.7*y + 2*t^8.77*y + t^8.93*y | t^2.1/g1^12 + g1^10*t^2.25 + g1^3*t^2.47 + t^2.7/g1^4 + t^3. + g1^11*t^3.07 + t^3.53/g1^3 + g1^8*t^3.6 + g1*t^3.82 + g1^5*t^4.12 + t^4.21/g1^24 + (2*t^4.35)/g1^2 + g1^9*t^4.42 + g1^20*t^4.49 + t^4.58/g1^9 + g1^13*t^4.72 + t^4.8/g1^16 + 3*g1^6*t^4.95 + t^5.1/g1^12 + (2*t^5.18)/g1 + g1^10*t^5.25 + g1^21*t^5.32 + g1^14*t^5.55 + t^5.63/g1^15 + (2*t^5.7)/g1^4 + 2*g1^7*t^5.77 + g1^18*t^5.85 - t^6. + 2*g1^11*t^6.07 + g1^22*t^6.14 + t^6.23/g1^7 + g1^4*t^6.3 + t^6.31/g1^36 + g1^15*t^6.37 + (2*t^6.45)/g1^14 + t^6.53/g1^3 + 3*g1^8*t^6.6 + 2*g1^19*t^6.67 + t^6.68/g1^21 + g1^30*t^6.74 - t^6.75/g1^10 + g1*t^6.82 + g1^12*t^6.9 + t^6.91/g1^28 + g1^23*t^6.97 + (3*t^7.05)/g1^6 + g1^5*t^7.12 + 4*g1^16*t^7.2 + t^7.21/g1^24 + t^7.28/g1^13 + 4*g1^9*t^7.42 + 2*g1^20*t^7.49 + g1^31*t^7.57 + 3*g1^2*t^7.65 + t^7.73/g1^27 + g1^24*t^7.79 + (2*t^7.8)/g1^16 + t^7.88/g1^5 + 3*g1^6*t^7.95 + 4*g1^17*t^8.02 + g1^28*t^8.09 - t^8.1/g1^12 + 2*g1^21*t^8.32 + t^8.33/g1^19 + g1^32*t^8.39 + t^8.4/g1^8 + t^8.41/g1^48 + 2*g1^14*t^8.55 + (2*t^8.56)/g1^26 + 2*g1^25*t^8.62 + t^8.7/g1^4 + 3*g1^7*t^8.77 + t^8.78/g1^33 + 4*g1^18*t^8.85 - t^8.86/g1^22 + 2*g1^29*t^8.92 + g1^40*t^8.99 - t^4.35/(g1^2*y) - t^6.45/(g1^14*y) - (g1^8*t^6.6)/y - t^7.05/(g1^6*y) + t^7.35/(g1^2*y) + t^7.58/(g1^9*y) + (g1^2*t^7.65)/y + (g1^13*t^7.72)/y + t^7.8/(g1^16*y) + (g1^6*t^7.95)/y + (2*t^8.1)/(g1^12*y) + (2*t^8.18)/(g1*y) + (2*g1^10*t^8.25)/y + (g1^21*t^8.32)/y + (g1^3*t^8.47)/y + (g1^14*t^8.55)/y - t^8.56/(g1^26*y) + t^8.63/(g1^15*y) + t^8.7/(g1^4*y) + (2*g1^7*t^8.77)/y + t^8.93/(g1^11*y) - (t^4.35*y)/g1^2 - (t^6.45*y)/g1^14 - g1^8*t^6.6*y - (t^7.05*y)/g1^6 + (t^7.35*y)/g1^2 + (t^7.58*y)/g1^9 + g1^2*t^7.65*y + g1^13*t^7.72*y + (t^7.8*y)/g1^16 + g1^6*t^7.95*y + (2*t^8.1*y)/g1^12 + (2*t^8.18*y)/g1 + 2*g1^10*t^8.25*y + g1^21*t^8.32*y + g1^3*t^8.47*y + g1^14*t^8.55*y - (t^8.56*y)/g1^26 + (t^8.63*y)/g1^15 + (t^8.7*y)/g1^4 + 2*g1^7*t^8.77*y + (t^8.93*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
6636 | $M_1q_1q_2$ + $ 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$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ + $ M_4M_9$ | 0.698 | 0.8845 | 0.7892 | [X:[1.3709], M:[1.0, 0.8065, 0.6291, 1.1775, 0.8225, 0.7418, 0.7098, 1.1935, 0.8225], q:[0.5967, 0.4033], qb:[0.7742, 0.4193], phi:[0.4516]] | t^2.13 + t^2.23 + 2*t^2.47 + t^2.71 + t^3. + t^3.05 + t^3.58 + t^3.82 + t^4.11 + t^4.26 + 2*t^4.35 + t^4.4 + t^4.45 + 2*t^4.6 + 2*t^4.69 + t^4.84 + 5*t^4.94 + t^5.13 + 3*t^5.18 + t^5.23 + t^5.27 + t^5.47 + 2*t^5.52 + 2*t^5.71 + t^5.76 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
3156 | 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$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | t^2.05 + t^2.3 + t^2.36 + t^2.49 + t^2.68 + t^3. + t^3.13 + t^3.51 + t^3.83 + t^4.09 + t^4.15 + 2*t^4.34 + t^4.41 + t^4.47 + t^4.53 + t^4.59 + t^4.66 + 2*t^4.73 + t^4.78 + t^4.85 + 3*t^4.98 + 2*t^5.05 + 2*t^5.17 + t^5.3 + t^5.36 + t^5.42 + t^5.49 + t^5.56 + t^5.61 + t^5.68 + 2*t^5.81 + t^5.87 - t^6. - t^4.34/y - t^4.34*y | detail |