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 |
|---|---|---|---|---|---|---|---|---|---|
| 2092 | 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$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_5M_6$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_1M_2$, $ \phi_1^4$, $ M_6q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$ | . | -1 | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. + t^6.11 + t^6.2 + 2*t^6.22 + t^6.31 + 2*t^6.42 + t^6.52 + 2*t^6.63 + t^6.74 + t^6.83 + t^6.85 + 3*t^6.94 + t^7.03 + 2*t^7.05 + t^7.12 + t^7.14 + 3*t^7.25 + 2*t^7.34 + t^7.44 + 3*t^7.45 + t^7.55 + 2*t^7.56 + 3*t^7.66 + t^7.68 + t^7.75 + t^7.77 + 2*t^7.88 + 2*t^7.97 + t^8.06 + 4*t^8.08 - t^8.37 + 2*t^8.39 + 2*t^8.5 + t^8.6 - t^8.69 + 3*t^8.71 + 2*t^8.8 + 5*t^8.91 - t^4.34/y - t^6.63/y - t^6.72/y - t^7.03/y + (2*t^7.66)/y + t^7.77/y + t^7.86/y + (2*t^7.97)/y + (2*t^8.06)/y + t^8.17/y + t^8.28/y + t^8.37/y + t^8.39/y + (2*t^8.48)/y + t^8.6/y + t^8.69/y + (2*t^8.8)/y + t^8.89/y - t^8.91/y - t^4.34*y - t^6.63*y - t^6.72*y - t^7.03*y + 2*t^7.66*y + t^7.77*y + t^7.86*y + 2*t^7.97*y + 2*t^8.06*y + t^8.17*y + t^8.28*y + t^8.37*y + t^8.39*y + 2*t^8.48*y + t^8.6*y + t^8.69*y + 2*t^8.8*y + t^8.89*y - t^8.91*y | g1^10*t^2.28 + t^2.37/g1^8 + g1^3*t^2.48 + t^2.69/g1^4 + t^3. + g1^11*t^3.11 + t^3.52/g1^3 + g1*t^3.83 + g1^12*t^3.94 + g1^5*t^4.14 + t^4.34/g1^2 + g1^9*t^4.45 + g1^20*t^4.56 + g1^2*t^4.66 + t^4.75/g1^16 + g1^13*t^4.77 + t^4.86/g1^5 + 3*g1^6*t^4.97 + t^5.06/g1^12 + t^5.17/g1 + g1^10*t^5.28 + t^5.37/g1^8 + g1^21*t^5.39 + g1^3*t^5.48 + g1^14*t^5.6 + t^5.69/g1^4 + 2*g1^7*t^5.8 - t^6. + g1^11*t^6.11 + t^6.2/g1^7 + 2*g1^22*t^6.22 + g1^4*t^6.31 + 2*g1^15*t^6.42 + t^6.52/g1^3 + 2*g1^8*t^6.63 + g1^19*t^6.74 + g1*t^6.83 + g1^30*t^6.85 + 3*g1^12*t^6.94 + t^7.03/g1^6 + 2*g1^23*t^7.05 + t^7.12/g1^24 + g1^5*t^7.14 + 3*g1^16*t^7.25 + (2*t^7.34)/g1^2 + t^7.44/g1^20 + 3*g1^9*t^7.45 + t^7.55/g1^9 + 2*g1^20*t^7.56 + 3*g1^2*t^7.66 + g1^31*t^7.68 + t^7.75/g1^16 + g1^13*t^7.77 + 2*g1^24*t^7.88 + 2*g1^6*t^7.97 + t^8.06/g1^12 + 4*g1^17*t^8.08 - t^8.37/g1^8 + 2*g1^21*t^8.39 + 2*g1^32*t^8.5 + g1^14*t^8.6 - t^8.69/g1^4 + 3*g1^25*t^8.71 + 2*g1^7*t^8.8 + 5*g1^18*t^8.91 - t^4.34/(g1^2*y) - (g1^8*t^6.63)/y - t^6.72/(g1^10*y) - t^7.03/(g1^6*y) + (2*g1^2*t^7.66)/y + (g1^13*t^7.77)/y + t^7.86/(g1^5*y) + (2*g1^6*t^7.97)/y + (2*t^8.06)/(g1^12*y) + t^8.17/(g1*y) + (g1^10*t^8.28)/y + t^8.37/(g1^8*y) + (g1^21*t^8.39)/y + (2*g1^3*t^8.48)/y + (g1^14*t^8.6)/y + t^8.69/(g1^4*y) + (2*g1^7*t^8.8)/y + t^8.89/(g1^11*y) - (g1^18*t^8.91)/y - (t^4.34*y)/g1^2 - g1^8*t^6.63*y - (t^6.72*y)/g1^10 - (t^7.03*y)/g1^6 + 2*g1^2*t^7.66*y + g1^13*t^7.77*y + (t^7.86*y)/g1^5 + 2*g1^6*t^7.97*y + (2*t^8.06*y)/g1^12 + (t^8.17*y)/g1 + g1^10*t^8.28*y + (t^8.37*y)/g1^8 + g1^21*t^8.39*y + 2*g1^3*t^8.48*y + g1^14*t^8.6*y + (t^8.69*y)/g1^4 + 2*g1^7*t^8.8*y + (t^8.89*y)/g1^11 - g1^18*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3155 | $M_1q_1q_2$ + $ 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_1q_2\tilde{q}_2$ | 0.6991 | 0.8842 | 0.7907 | [X:[1.3811], M:[1.0, 0.7903, 0.6189, 1.1714, 0.8286, 0.7621, 0.7238], q:[0.6049, 0.3951], qb:[0.7762, 0.4335], phi:[0.4476]] | t^2.17 + t^2.29 + t^2.37 + t^2.49 + t^2.69 + t^3. + t^3.12 + t^3.51 + t^3.94 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.54 + t^4.57 + 2*t^4.66 + t^4.74 + t^4.77 + 2*t^4.86 + 3*t^4.97 + t^5.06 + 2*t^5.17 + 2*t^5.29 + t^5.37 + t^5.4 + t^5.49 + t^5.6 + 2*t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 3156 | $M_1q_1q_2$ + $ 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 951 | 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$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^4.39/y - t^4.39*y | detail |