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 |
|---|---|---|---|---|---|---|---|---|---|
| 3067 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_2$ | 0.6289 | 0.8202 | 0.7668 | [X:[], M:[1.0, 1.0304, 0.9392, 1.2576, 0.6816, 0.7424, 0.712], q:[0.2424, 0.7576], qb:[0.5, 0.5608], phi:[0.4848]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ M_5^2$, $ M_5M_7$, $ M_5M_6$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_7$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_7\phi_1q_1^2$, $ M_2M_5$, $ M_1M_7$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_4M_7$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.04 + t^2.14 + t^2.23 + t^2.41 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.68 + t^3.77 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.36 + 3*t^4.45 + t^4.55 + 2*t^4.64 + 2*t^4.82 + t^4.86 + 2*t^4.95 + 2*t^5.04 + 3*t^5.14 + 2*t^5.23 + 2*t^5.32 + t^5.41 + t^5.5 + t^5.64 + 2*t^5.73 + 3*t^5.82 + 3*t^5.91 - t^6. + t^6.09 + t^6.13 + t^6.23 + 2*t^6.32 + 2*t^6.41 + 4*t^6.5 + 4*t^6.59 + 4*t^6.68 + t^6.77 + 3*t^6.86 + t^6.91 + 2*t^7. + 2*t^7.05 + 3*t^7.09 + 4*t^7.18 + 2*t^7.23 + 4*t^7.27 + 6*t^7.36 + 3*t^7.45 + 3*t^7.55 + t^7.64 + t^7.68 + 2*t^7.73 + 3*t^7.77 + t^7.82 + 4*t^7.86 + t^7.91 + 5*t^7.95 + 2*t^8.04 + 2*t^8.14 + t^8.18 + t^8.27 + 2*t^8.36 - 3*t^8.41 + 3*t^8.45 + 6*t^8.54 + 7*t^8.64 + 8*t^8.73 + 2*t^8.82 + 3*t^8.91 + t^8.95 - t^4.45/y - t^6.5/y - t^6.59/y + t^7.18/y + t^7.36/y + t^7.45/y + t^7.55/y + (2*t^7.64)/y + t^7.86/y + (2*t^7.95)/y + (3*t^8.04)/y + (3*t^8.14)/y + (3*t^8.23)/y + (3*t^8.32)/y + (2*t^8.41)/y + t^8.5/y - t^8.54/y - t^8.64/y + t^8.73/y + (3*t^8.82)/y + (4*t^8.91)/y - t^4.45*y - t^6.5*y - t^6.59*y + t^7.18*y + t^7.36*y + t^7.45*y + t^7.55*y + 2*t^7.64*y + t^7.86*y + 2*t^7.95*y + 3*t^8.04*y + 3*t^8.14*y + 3*t^8.23*y + 3*t^8.32*y + 2*t^8.41*y + t^8.5*y - t^8.54*y - t^8.64*y + t^8.73*y + 3*t^8.82*y + 4*t^8.91*y | t^2.04/g1^9 + t^2.14/g1^5 + t^2.23/g1 + g1^7*t^2.41 + t^2.82/g1^8 + t^2.91/g1^4 + t^3. + g1^4*t^3.09 + t^3.68/g1^3 + g1*t^3.77 + t^4.09/g1^18 + t^4.18/g1^14 + (2*t^4.27)/g1^10 + t^4.36/g1^6 + (3*t^4.45)/g1^2 + g1^2*t^4.55 + 2*g1^6*t^4.64 + 2*g1^14*t^4.82 + t^4.86/g1^17 + (2*t^4.95)/g1^13 + (2*t^5.04)/g1^9 + (3*t^5.14)/g1^5 + (2*t^5.23)/g1 + 2*g1^3*t^5.32 + g1^7*t^5.41 + g1^11*t^5.5 + t^5.64/g1^16 + (2*t^5.73)/g1^12 + (3*t^5.82)/g1^8 + (3*t^5.91)/g1^4 - t^6. + g1^4*t^6.09 + t^6.13/g1^27 + t^6.23/g1^23 + (2*t^6.32)/g1^19 + (2*t^6.41)/g1^15 + (4*t^6.5)/g1^11 + (4*t^6.59)/g1^7 + (4*t^6.68)/g1^3 + g1*t^6.77 + 3*g1^5*t^6.86 + t^6.91/g1^26 + (2*t^7.)/g1^22 + 2*g1^13*t^7.05 + (3*t^7.09)/g1^18 + (4*t^7.18)/g1^14 + 2*g1^21*t^7.23 + (4*t^7.27)/g1^10 + (6*t^7.36)/g1^6 + (3*t^7.45)/g1^2 + 3*g1^2*t^7.55 + g1^6*t^7.64 + t^7.68/g1^25 + 2*g1^10*t^7.73 + (3*t^7.77)/g1^21 + g1^14*t^7.82 + (4*t^7.86)/g1^17 + g1^18*t^7.91 + (5*t^7.95)/g1^13 + (2*t^8.04)/g1^9 + (2*t^8.14)/g1^5 + t^8.18/g1^36 + t^8.27/g1^32 + (2*t^8.36)/g1^28 - 3*g1^7*t^8.41 + (3*t^8.45)/g1^24 + (6*t^8.54)/g1^20 + (7*t^8.64)/g1^16 + (8*t^8.73)/g1^12 + (2*t^8.82)/g1^8 + (3*t^8.91)/g1^4 + t^8.95/g1^35 - t^4.45/(g1^2*y) - t^6.5/(g1^11*y) - t^6.59/(g1^7*y) + t^7.18/(g1^14*y) + t^7.36/(g1^6*y) + t^7.45/(g1^2*y) + (g1^2*t^7.55)/y + (2*g1^6*t^7.64)/y + t^7.86/(g1^17*y) + (2*t^7.95)/(g1^13*y) + (3*t^8.04)/(g1^9*y) + (3*t^8.14)/(g1^5*y) + (3*t^8.23)/(g1*y) + (3*g1^3*t^8.32)/y + (2*g1^7*t^8.41)/y + (g1^11*t^8.5)/y - t^8.54/(g1^20*y) - t^8.64/(g1^16*y) + t^8.73/(g1^12*y) + (3*t^8.82)/(g1^8*y) + (4*t^8.91)/(g1^4*y) - (t^4.45*y)/g1^2 - (t^6.5*y)/g1^11 - (t^6.59*y)/g1^7 + (t^7.18*y)/g1^14 + (t^7.36*y)/g1^6 + (t^7.45*y)/g1^2 + g1^2*t^7.55*y + 2*g1^6*t^7.64*y + (t^7.86*y)/g1^17 + (2*t^7.95*y)/g1^13 + (3*t^8.04*y)/g1^9 + (3*t^8.14*y)/g1^5 + (3*t^8.23*y)/g1 + 3*g1^3*t^8.32*y + 2*g1^7*t^8.41*y + g1^11*t^8.5*y - (t^8.54*y)/g1^20 - (t^8.64*y)/g1^16 + (t^8.73*y)/g1^12 + (3*t^8.82*y)/g1^8 + (4*t^8.91*y)/g1^4 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |