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 |
---|---|---|---|---|---|---|---|---|---|
1421 | 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_2M_3$ + $ M_2M_6$ + $ M_4\phi_1^2$ | 0.7032 | 0.8663 | 0.8117 | [X:[], M:[0.877, 1.0738, 0.9262, 1.0246, 1.0, 0.9262], q:[0.5984, 0.5246], qb:[0.4754, 0.4508], phi:[0.4877]] | [X:[], M:[[10], [-6], [6], [-2], [0], [6]], q:[[-8], [-2]], qb:[[2], [4]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_3$, $ M_1M_6$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_5$, $ M_5M_6$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.63 + 2*t^2.78 + t^2.93 + t^3. + t^3.07 + t^3.15 + t^4.17 + t^4.24 + t^4.32 + t^4.39 + t^4.46 + 2*t^4.61 + t^4.68 + t^4.83 + t^5.05 + t^5.26 + 2*t^5.41 + 3*t^5.56 + 3*t^5.7 + t^5.78 + 2*t^5.85 + 2*t^5.93 - 2*t^6. + t^6.07 - t^6.22 + t^6.3 - t^6.37 - t^6.44 + t^6.8 + t^6.87 + 3*t^6.95 + 2*t^7.02 + 3*t^7.09 + 3*t^7.17 + 3*t^7.24 + 3*t^7.32 + 4*t^7.39 + t^7.46 + t^7.54 + 2*t^7.61 - t^7.68 + 2*t^7.76 + t^7.83 + t^7.89 - t^7.91 + t^7.98 + 2*t^8.04 + 3*t^8.19 + t^8.2 + 6*t^8.34 + t^8.41 + 5*t^8.48 + 2*t^8.56 + 2*t^8.63 + t^8.7 - 2*t^8.78 + 2*t^8.85 - 2*t^8.93 - t^4.46/y - t^7.09/y - t^7.24/y + t^7.68/y + t^7.83/y + (2*t^8.41)/y + (2*t^8.56)/y + t^8.63/y + (3*t^8.7)/y + (3*t^8.78)/y + (2*t^8.85)/y + (3*t^8.93)/y - t^4.46*y - t^7.09*y - t^7.24*y + t^7.68*y + t^7.83*y + 2*t^8.41*y + 2*t^8.56*y + t^8.63*y + 3*t^8.7*y + 3*t^8.78*y + 2*t^8.85*y + 3*t^8.93*y | g1^10*t^2.63 + 2*g1^6*t^2.78 + g1^2*t^2.93 + t^3. + t^3.07/g1^2 + t^3.15/g1^4 + g1^9*t^4.17 + g1^7*t^4.24 + g1^5*t^4.32 + g1^3*t^4.39 + g1*t^4.46 + (2*t^4.61)/g1^3 + t^4.68/g1^5 + t^4.83/g1^9 + t^5.05/g1^15 + g1^20*t^5.26 + 2*g1^16*t^5.41 + 3*g1^12*t^5.56 + 3*g1^8*t^5.7 + g1^6*t^5.78 + 2*g1^4*t^5.85 + 2*g1^2*t^5.93 - 2*t^6. + t^6.07/g1^2 - t^6.22/g1^6 + t^6.3/g1^8 - t^6.37/g1^10 - t^6.44/g1^12 + g1^19*t^6.8 + g1^17*t^6.87 + 3*g1^15*t^6.95 + 2*g1^13*t^7.02 + 3*g1^11*t^7.09 + 3*g1^9*t^7.17 + 3*g1^7*t^7.24 + 3*g1^5*t^7.32 + 4*g1^3*t^7.39 + g1*t^7.46 + t^7.54/g1 + (2*t^7.61)/g1^3 - t^7.68/g1^5 + (2*t^7.76)/g1^7 + t^7.83/g1^9 + g1^30*t^7.89 - t^7.91/g1^11 + t^7.98/g1^13 + 2*g1^26*t^8.04 + 3*g1^22*t^8.19 + t^8.2/g1^19 + 6*g1^18*t^8.34 + g1^16*t^8.41 + 5*g1^14*t^8.48 + 2*g1^12*t^8.56 + 2*g1^10*t^8.63 + g1^8*t^8.7 - 2*g1^6*t^8.78 + 2*g1^4*t^8.85 - 2*g1^2*t^8.93 - (g1*t^4.46)/y - (g1^11*t^7.09)/y - (g1^7*t^7.24)/y + t^7.68/(g1^5*y) + t^7.83/(g1^9*y) + (2*g1^16*t^8.41)/y + (2*g1^12*t^8.56)/y + (g1^10*t^8.63)/y + (3*g1^8*t^8.7)/y + (3*g1^6*t^8.78)/y + (2*g1^4*t^8.85)/y + (3*g1^2*t^8.93)/y - g1*t^4.46*y - g1^11*t^7.09*y - g1^7*t^7.24*y + (t^7.68*y)/g1^5 + (t^7.83*y)/g1^9 + 2*g1^16*t^8.41*y + 2*g1^12*t^8.56*y + g1^10*t^8.63*y + 3*g1^8*t^8.7*y + 3*g1^6*t^8.78*y + 2*g1^4*t^8.85*y + 3*g1^2*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
2472 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_2M_6$ + $ M_4\phi_1^2$ + $ M_4M_7$ | 0.7056 | 0.8711 | 0.81 | [X:[], M:[0.8652, 1.0809, 0.9191, 1.027, 1.0, 0.9191, 0.973], q:[0.6079, 0.527], qb:[0.473, 0.4461], phi:[0.4865]] | t^2.6 + 2*t^2.76 + 2*t^2.92 + t^3. + t^3.16 + t^4.14 + t^4.22 + t^4.3 + t^4.38 + t^4.46 + 2*t^4.62 + t^4.7 + t^4.86 + t^5.11 + t^5.19 + 2*t^5.35 + 4*t^5.51 + 4*t^5.68 + t^5.76 + 2*t^5.84 + 3*t^5.92 - 3*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
925 | 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_2M_3$ + $ M_2M_6$ | 0.7207 | 0.8863 | 0.8132 | [X:[], M:[0.8101, 1.0276, 0.9724, 0.8653, 1.0, 0.9724], q:[0.6087, 0.5812], qb:[0.4188, 0.5536], phi:[0.4594]] | t^2.43 + t^2.6 + t^2.76 + 2*t^2.92 + t^3. + t^3.49 + t^3.89 + t^4.3 + t^4.38 + t^4.46 + t^4.7 + t^4.78 + t^4.86 + 2*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.67 + t^5.76 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail |