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 |
---|---|---|---|---|---|---|---|---|---|
2481 | 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_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.7029 | 0.8658 | 0.8118 | [X:[], M:[0.929, 1.0237, 1.071, 0.8816, 1.0, 0.9527, 0.9763], q:[0.5, 0.571], qb:[0.429, 0.5473], phi:[0.4882]] | [X:[], M:[[-6], [2], [6], [-10], [0], [-4], [-2]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_6$, $ M_1^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_5M_7$, $ M_5\phi_1^2$ | . | -2 | t^2.64 + t^2.79 + t^2.86 + 2*t^2.93 + t^3. + t^3.21 + t^4.04 + t^4.25 + t^4.39 + 2*t^4.46 + t^4.61 + t^4.68 + t^4.75 + t^4.82 + t^4.89 + t^5.29 + t^5.43 + t^5.5 + 2*t^5.57 + t^5.64 + 3*t^5.72 + t^5.79 + 4*t^5.86 + t^5.93 - 2*t^6. - t^6.21 - t^6.36 + t^6.68 + t^6.83 + 2*t^6.9 + 2*t^6.97 + 2*t^7.04 + t^7.11 + 2*t^7.18 + 3*t^7.25 + 3*t^7.32 + 4*t^7.39 + t^7.46 + t^7.54 + 2*t^7.61 + 3*t^7.68 + 2*t^7.75 + t^7.93 - t^7.96 + 2*t^8.08 + t^8.1 + t^8.15 + 2*t^8.22 + 2*t^8.29 + 3*t^8.36 + t^8.43 + 6*t^8.5 + t^8.57 + 2*t^8.64 + 4*t^8.72 + t^8.79 - t^8.86 - 3*t^8.93 - t^4.46/y - t^7.11/y - t^7.32/y - t^7.39/y + t^7.54/y + t^7.61/y + t^7.82/y + t^8.43/y + t^8.5/y + (2*t^8.57)/y + (2*t^8.64)/y + (2*t^8.72)/y + (3*t^8.79)/y + (3*t^8.86)/y + (2*t^8.93)/y - t^4.46*y - t^7.11*y - t^7.32*y - t^7.39*y + t^7.54*y + t^7.61*y + t^7.82*y + t^8.43*y + t^8.5*y + 2*t^8.57*y + 2*t^8.64*y + 2*t^8.72*y + 3*t^8.79*y + 3*t^8.86*y + 2*t^8.93*y | t^2.64/g1^10 + t^2.79/g1^6 + t^2.86/g1^4 + (2*t^2.93)/g1^2 + t^3. + g1^6*t^3.21 + t^4.04/g1^13 + t^4.25/g1^7 + t^4.39/g1^3 + (2*t^4.46)/g1 + g1^3*t^4.61 + g1^5*t^4.68 + g1^7*t^4.75 + g1^9*t^4.82 + g1^11*t^4.89 + t^5.29/g1^20 + t^5.43/g1^16 + t^5.5/g1^14 + (2*t^5.57)/g1^12 + t^5.64/g1^10 + (3*t^5.72)/g1^8 + t^5.79/g1^6 + (4*t^5.86)/g1^4 + t^5.93/g1^2 - 2*t^6. - g1^6*t^6.21 - g1^10*t^6.36 + t^6.68/g1^23 + t^6.83/g1^19 + (2*t^6.9)/g1^17 + (2*t^6.97)/g1^15 + (2*t^7.04)/g1^13 + t^7.11/g1^11 + (2*t^7.18)/g1^9 + (3*t^7.25)/g1^7 + (3*t^7.32)/g1^5 + (4*t^7.39)/g1^3 + t^7.46/g1 + g1*t^7.54 + 2*g1^3*t^7.61 + 3*g1^5*t^7.68 + 2*g1^7*t^7.75 + t^7.93/g1^30 - g1^13*t^7.96 + (2*t^8.08)/g1^26 + g1^17*t^8.1 + t^8.15/g1^24 + (2*t^8.22)/g1^22 + (2*t^8.29)/g1^20 + (3*t^8.36)/g1^18 + t^8.43/g1^16 + (6*t^8.5)/g1^14 + t^8.57/g1^12 + (2*t^8.64)/g1^10 + (4*t^8.72)/g1^8 + t^8.79/g1^6 - t^8.86/g1^4 - (3*t^8.93)/g1^2 - t^4.46/(g1*y) - t^7.11/(g1^11*y) - t^7.32/(g1^5*y) - t^7.39/(g1^3*y) + (g1*t^7.54)/y + (g1^3*t^7.61)/y + (g1^9*t^7.82)/y + t^8.43/(g1^16*y) + t^8.5/(g1^14*y) + (2*t^8.57)/(g1^12*y) + (2*t^8.64)/(g1^10*y) + (2*t^8.72)/(g1^8*y) + (3*t^8.79)/(g1^6*y) + (3*t^8.86)/(g1^4*y) + (2*t^8.93)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.11*y)/g1^11 - (t^7.32*y)/g1^5 - (t^7.39*y)/g1^3 + g1*t^7.54*y + g1^3*t^7.61*y + g1^9*t^7.82*y + (t^8.43*y)/g1^16 + (t^8.5*y)/g1^14 + (2*t^8.57*y)/g1^12 + (2*t^8.64*y)/g1^10 + (2*t^8.72*y)/g1^8 + (3*t^8.79*y)/g1^6 + (3*t^8.86*y)/g1^4 + (2*t^8.93*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4533 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_1M_8$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.9487, 1.0171, 1.0513, 0.9145, 1.0, 0.9658, 0.9829, 1.0513], q:[0.5, 0.5513], qb:[0.4487, 0.5342], phi:[0.4914]] | t^2.74 + t^2.9 + 2*t^2.95 + t^3. + 2*t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.64 + t^5.69 + t^5.79 + 5*t^5.9 + t^5.95 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
1425 | 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_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7007 | 0.8617 | 0.8132 | [X:[], M:[0.9356, 1.0215, 1.0644, 0.8927, 1.0, 0.9571], q:[0.5, 0.5644], qb:[0.4356, 0.5429], phi:[0.4893]] | t^2.68 + t^2.81 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.19 + t^4.08 + t^4.27 + t^4.4 + 2*t^4.47 + t^4.6 + t^4.66 + t^4.73 + t^4.79 + t^4.85 + t^5.36 + t^5.48 + t^5.55 + t^5.61 + t^5.68 + 3*t^5.74 + 3*t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |