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 |
|---|---|---|---|---|---|---|---|---|---|
| 47014 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6266 | 0.8144 | 0.7694 | [X:[], M:[1.0266, 0.9468, 1.0, 1.0266, 0.7278, 0.7012], q:[0.5421, 0.5111], qb:[0.7567, 0.2433], phi:[0.4867]] | [X:[], M:[[0, -4], [0, 8], [0, 0], [0, -4], [1, 5], [1, 9]], q:[[-1, -8], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ M_6q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_2M_5$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_4M_6$, $ M_1M_5$, $ M_4M_5$, $ M_3q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_2^2$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_6q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_2M_4$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -3 | t^2.1 + t^2.18 + t^2.26 + t^2.36 + t^2.84 + t^3. + 2*t^3.08 + t^3.72 + t^3.8 + t^4.21 + t^4.29 + 2*t^4.37 + t^4.45 + t^4.46 + 2*t^4.53 + t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.1 + 3*t^5.18 + 3*t^5.26 + 2*t^5.34 + t^5.36 + 2*t^5.44 + t^5.68 + t^5.83 + t^5.84 + t^5.91 + t^5.92 + 2*t^5.99 - 3*t^6. + t^6.07 + 2*t^6.08 - t^6.09 + 3*t^6.16 + t^6.31 + t^6.39 + 2*t^6.47 + 2*t^6.55 + t^6.56 + 3*t^6.63 + t^6.64 - t^6.66 + 2*t^6.71 + 2*t^6.72 - t^6.74 + 2*t^6.79 + 3*t^6.8 + 4*t^6.88 + 2*t^6.98 + t^7.05 + 2*t^7.07 + t^7.13 + 2*t^7.21 + 3*t^7.29 + 4*t^7.37 + 5*t^7.45 - t^7.46 + 4*t^7.53 + 4*t^7.61 + 2*t^7.62 - t^7.63 + 3*t^7.7 + t^7.71 + t^7.78 + 3*t^7.79 + t^7.86 + t^7.93 + t^7.94 + t^8.01 + 2*t^8.02 + 2*t^8.09 - 2*t^8.1 + 2*t^8.17 - 2*t^8.18 - t^8.2 + 3*t^8.25 - 2*t^8.28 + 2*t^8.33 + 4*t^8.34 - 5*t^8.36 + t^8.41 + 3*t^8.42 + t^8.44 - t^8.45 + t^8.49 + 4*t^8.52 + 2*t^8.57 + 2*t^8.65 + t^8.67 + t^8.68 + 4*t^8.73 + t^8.75 + 3*t^8.81 + 2*t^8.83 - 4*t^8.84 + 4*t^8.89 + 2*t^8.91 - t^8.92 + 2*t^8.97 + 4*t^8.99 - t^4.46/y - t^6.56/y - t^6.64/y + t^7.29/y - t^7.3/y + t^7.37/y + t^7.38/y + t^7.45/y + t^7.46/y + (2*t^7.62)/y + t^7.94/y + t^8.02/y + (2*t^8.1)/y + (3*t^8.18)/y + t^8.2/y + (3*t^8.26)/y + t^8.28/y + (2*t^8.34)/y + (2*t^8.36)/y + (2*t^8.44)/y - t^8.67/y - t^8.75/y + t^8.84/y + (2*t^8.91)/y + (2*t^8.92)/y + (2*t^8.99)/y - t^4.46*y - t^6.56*y - t^6.64*y + t^7.29*y - t^7.3*y + t^7.37*y + t^7.38*y + t^7.45*y + t^7.46*y + 2*t^7.62*y + t^7.94*y + t^8.02*y + 2*t^8.1*y + 3*t^8.18*y + t^8.2*y + 3*t^8.26*y + t^8.28*y + 2*t^8.34*y + 2*t^8.36*y + 2*t^8.44*y - t^8.67*y - t^8.75*y + t^8.84*y + 2*t^8.91*y + 2*t^8.92*y + 2*t^8.99*y | g1*g2^9*t^2.1 + g1*g2^5*t^2.18 + g1*g2*t^2.26 + t^2.36/(g1*g2^7) + g2^8*t^2.84 + t^3. + (2*t^3.08)/g2^4 + g1*g2^3*t^3.72 + (g1*t^3.8)/g2 + g1^2*g2^18*t^4.21 + g1^2*g2^14*t^4.29 + 2*g1^2*g2^10*t^4.37 + g1^2*g2^6*t^4.45 + g2^2*t^4.46 + 2*g1^2*g2^2*t^4.53 + t^4.54/g2^2 + (2*t^4.62)/g2^6 + (2*t^4.71)/(g1^2*g2^14) + g1*g2^17*t^4.94 + g1*g2^13*t^5.02 + g1*g2^9*t^5.1 + 3*g1*g2^5*t^5.18 + 3*g1*g2*t^5.26 + (2*g1*t^5.34)/g2^3 + t^5.36/(g1*g2^7) + (2*t^5.44)/(g1*g2^11) + g2^16*t^5.68 + g1^2*g2^12*t^5.83 + g2^8*t^5.84 + g1^2*g2^8*t^5.91 + g2^4*t^5.92 + 2*g1^2*g2^4*t^5.99 - 3*t^6. + g1^2*t^6.07 + (2*t^6.08)/g2^4 - t^6.09/(g1^2*g2^8) + (3*t^6.16)/g2^8 + g1^3*g2^27*t^6.31 + g1^3*g2^23*t^6.39 + 2*g1^3*g2^19*t^6.47 + 2*g1^3*g2^15*t^6.55 + g1*g2^11*t^6.56 + 3*g1^3*g2^11*t^6.63 + g1*g2^7*t^6.64 - (g2^3*t^6.66)/g1 + 2*g1^3*g2^7*t^6.71 + 2*g1*g2^3*t^6.72 - t^6.74/(g1*g2) + 2*g1^3*g2^3*t^6.79 + (3*g1*t^6.8)/g2 + (4*g1*t^6.88)/g2^5 + (2*t^6.98)/(g1*g2^13) + g1^2*g2^26*t^7.05 + (2*t^7.07)/(g1^3*g2^21) + g1^2*g2^22*t^7.13 + 2*g1^2*g2^18*t^7.21 + 3*g1^2*g2^14*t^7.29 + 4*g1^2*g2^10*t^7.37 + 5*g1^2*g2^6*t^7.45 - g2^2*t^7.46 + 4*g1^2*g2^2*t^7.53 + (4*g1^2*t^7.61)/g2^2 + (2*t^7.62)/g2^6 - t^7.63/(g1^2*g2^10) + (3*t^7.7)/g2^10 + t^7.71/(g1^2*g2^14) + g1*g2^25*t^7.78 + (3*t^7.79)/(g1^2*g2^18) + g1*g2^21*t^7.86 + g1^3*g2^21*t^7.93 + g1*g2^17*t^7.94 + g1^3*g2^17*t^8.01 + 2*g1*g2^13*t^8.02 + 2*g1^3*g2^13*t^8.09 - 2*g1*g2^9*t^8.1 + 2*g1^3*g2^9*t^8.17 - 2*g1*g2^5*t^8.18 - (g2*t^8.2)/g1 + 3*g1^3*g2^5*t^8.25 - (2*t^8.28)/(g1*g2^3) + 2*g1^3*g2*t^8.33 + (4*g1*t^8.34)/g2^3 - (5*t^8.36)/(g1*g2^7) + g1^4*g2^36*t^8.41 + (3*g1*t^8.42)/g2^7 + t^8.44/(g1*g2^11) - t^8.45/(g1^3*g2^15) + g1^4*g2^32*t^8.49 + (3*t^8.52)/(g1*g2^15) + g2^24*t^8.52 + 2*g1^4*g2^28*t^8.57 + 2*g1^4*g2^24*t^8.65 + g1^2*g2^20*t^8.67 + g2^16*t^8.68 + 4*g1^4*g2^20*t^8.73 + g1^2*g2^16*t^8.75 + 3*g1^4*g2^16*t^8.81 + 2*g1^2*g2^12*t^8.83 - 4*g2^8*t^8.84 + 4*g1^4*g2^12*t^8.89 + 2*g1^2*g2^8*t^8.91 - g2^4*t^8.92 + 2*g1^4*g2^8*t^8.97 + 4*g1^2*g2^4*t^8.99 - (g2^2*t^4.46)/y - (g1*g2^11*t^6.56)/y - (g1*g2^7*t^6.64)/y + (g1^2*g2^14*t^7.29)/y - (g2^10*t^7.3)/y + (g1^2*g2^10*t^7.37)/y + (g2^6*t^7.38)/y + (g1^2*g2^6*t^7.45)/y + (g2^2*t^7.46)/y + (2*t^7.62)/(g2^6*y) + (g1*g2^17*t^7.94)/y + (g1*g2^13*t^8.02)/y + (2*g1*g2^9*t^8.1)/y + (3*g1*g2^5*t^8.18)/y + (g2*t^8.2)/(g1*y) + (3*g1*g2*t^8.26)/y + t^8.28/(g1*g2^3*y) + (2*g1*t^8.34)/(g2^3*y) + (2*t^8.36)/(g1*g2^7*y) + (2*t^8.44)/(g1*g2^11*y) - (g1^2*g2^20*t^8.67)/y - (g1^2*g2^16*t^8.75)/y + (g2^8*t^8.84)/y + (2*g1^2*g2^8*t^8.91)/y + (2*g2^4*t^8.92)/y + (2*g1^2*g2^4*t^8.99)/y - g2^2*t^4.46*y - g1*g2^11*t^6.56*y - g1*g2^7*t^6.64*y + g1^2*g2^14*t^7.29*y - g2^10*t^7.3*y + g1^2*g2^10*t^7.37*y + g2^6*t^7.38*y + g1^2*g2^6*t^7.45*y + g2^2*t^7.46*y + (2*t^7.62*y)/g2^6 + g1*g2^17*t^7.94*y + g1*g2^13*t^8.02*y + 2*g1*g2^9*t^8.1*y + 3*g1*g2^5*t^8.18*y + (g2*t^8.2*y)/g1 + 3*g1*g2*t^8.26*y + (t^8.28*y)/(g1*g2^3) + (2*g1*t^8.34*y)/g2^3 + (2*t^8.36*y)/(g1*g2^7) + (2*t^8.44*y)/(g1*g2^11) - g1^2*g2^20*t^8.67*y - g1^2*g2^16*t^8.75*y + g2^8*t^8.84*y + 2*g1^2*g2^8*t^8.91*y + 2*g2^4*t^8.92*y + 2*g1^2*g2^4*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 55048 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_1$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[1.0275, 0.945, 1.0, 1.0275, 0.7294, 0.7019], q:[0.5413, 0.5138], qb:[0.7569, 0.2431], phi:[0.4862]] | t^2.11 + t^2.19 + t^2.27 + t^2.35 + t^2.83 + t^3. + 2*t^3.08 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.38 + 2*t^4.46 + 3*t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + 2*t^5.44 + t^5.67 + 2*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 55019 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.6261 | 0.8118 | 0.7712 | [X:[], M:[1.0287, 0.9427, 1.0, 1.0287, 0.7428, 0.7142], q:[0.5287, 0.5287], qb:[0.7572, 0.2428], phi:[0.4857]] | t^2.14 + t^2.23 + 2*t^2.31 + t^2.83 + t^3. + 2*t^3.09 + t^3.77 + t^3.86 + t^4.29 + t^4.37 + 3*t^4.46 + 2*t^4.54 + 6*t^4.63 + t^4.97 + t^5.06 + t^5.14 + 3*t^5.23 + 4*t^5.31 + 4*t^5.4 + t^5.66 + t^5.83 + 2*t^5.91 - 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46772 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0213, 0.9573, 1.0, 1.0213, 0.7341], q:[0.5319, 0.5108], qb:[0.7553, 0.2447], phi:[0.4893]] | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |