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 |
|---|---|---|---|---|---|---|---|---|---|
| 1158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6792 | 0.8367 | 0.8118 | [X:[], M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], phi:[0.4447]] | [X:[], M:[[32], [-12], [22], [12], [-8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_6$, $ M_3$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_5M_6$, $ M_3M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_6^2$, $ M_3M_6$, $ M_5q_1q_2$ | . | -2 | t^2.22 + 2*t^2.67 + t^2.88 + t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.23 + 2*t^4.44 + t^4.66 + 2*t^4.89 + 2*t^5.11 + 3*t^5.34 + 2*t^5.55 + t^5.56 + t^5.77 + t^5.78 - 2*t^6. + t^6.22 + t^6.44 + 3*t^6.45 + 3*t^6.66 + 2*t^6.67 + 2*t^6.88 + 4*t^6.89 + t^7.1 + 3*t^7.11 + 3*t^7.33 + t^7.54 + 2*t^7.56 + t^7.77 + 2*t^7.78 + t^7.99 + 7*t^8. + t^8.21 + t^8.22 + 2*t^8.23 + 3*t^8.44 + 2*t^8.65 + t^8.66 - 3*t^8.67 + t^8.68 - t^8.89 - t^4.33/y - t^6.56/y - t^7./y - t^7.23/y + t^7.44/y + t^7.67/y + (2*t^7.89)/y + (3*t^8.11)/y + t^8.34/y + (2*t^8.55)/y + (2*t^8.56)/y + t^8.78/y - t^4.33*y - t^6.56*y - t^7.*y - t^7.23*y + t^7.44*y + t^7.67*y + 2*t^7.89*y + 3*t^8.11*y + t^8.34*y + 2*t^8.55*y + 2*t^8.56*y + t^8.78*y | t^2.22/g1^8 + 2*g1^12*t^2.67 + t^2.88/g1^32 + g1^22*t^2.89 + t^3.56/g1^2 + g1^8*t^3.78 + t^4./g1^36 + g1^18*t^4. + t^4.22/g1^26 + g1^28*t^4.23 + (2*t^4.44)/g1^16 + t^4.66/g1^60 + 2*g1^4*t^4.89 + t^5.11/g1^40 + g1^14*t^5.11 + 3*g1^24*t^5.34 + (2*t^5.55)/g1^20 + g1^34*t^5.56 + t^5.77/g1^64 + t^5.78/g1^10 - 2*t^6. + g1^10*t^6.22 + t^6.44/g1^34 + 3*g1^20*t^6.45 + (3*t^6.66)/g1^24 + 2*g1^30*t^6.67 + (2*t^6.88)/g1^68 + (2*t^6.89)/g1^14 + 2*g1^40*t^6.89 + t^7.1/g1^58 + (3*t^7.11)/g1^4 + (3*t^7.33)/g1^48 + t^7.54/g1^92 + 2*g1^16*t^7.56 + t^7.77/g1^28 + 2*g1^26*t^7.78 + t^7.99/g1^72 + (2*t^8.)/g1^18 + 5*g1^36*t^8. + t^8.21/g1^62 + t^8.22/g1^8 + 2*g1^46*t^8.23 + (3*t^8.44)/g1^52 + (2*t^8.65)/g1^96 + t^8.66/g1^42 - 3*g1^12*t^8.67 + g1^66*t^8.68 + t^8.88/g1^86 - t^8.88/g1^32 - g1^22*t^8.89 - (g1^6*t^4.33)/y - t^6.56/(g1^2*y) - (g1^18*t^7.)/y - (g1^28*t^7.23)/y + t^7.44/(g1^16*y) + t^7.67/(g1^6*y) + (2*g1^4*t^7.89)/y + t^8.11/(g1^40*y) + (2*g1^14*t^8.11)/y + (g1^24*t^8.34)/y + (2*t^8.55)/(g1^20*y) + (2*g1^34*t^8.56)/y + t^8.78/(g1^10*y) - g1^6*t^4.33*y - (t^6.56*y)/g1^2 - g1^18*t^7.*y - g1^28*t^7.23*y + (t^7.44*y)/g1^16 + (t^7.67*y)/g1^6 + 2*g1^4*t^7.89*y + (t^8.11*y)/g1^40 + 2*g1^14*t^8.11*y + g1^24*t^8.34*y + (2*t^8.55*y)/g1^20 + 2*g1^34*t^8.56*y + (t^8.78*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2190 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_5M_7$ | 0.6598 | 0.801 | 0.8238 | [X:[], M:[1.0337, 1.1123, 0.9607, 0.8877, 0.7416, 0.9663, 1.2584], q:[0.7781, 0.4073], qb:[0.5589, 0.4804], phi:[0.4438]] | 2*t^2.66 + t^2.88 + t^2.9 + t^3.56 + 2*t^3.78 + t^3.99 + t^4.01 + t^4.21 + t^4.23 + t^4.45 + t^4.69 + 3*t^5.33 + t^5.55 + 2*t^5.56 + t^5.8 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 2194 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6987 | 0.8726 | 0.8007 | [X:[], M:[1.0431, 1.1088, 0.9671, 0.8912, 0.7392, 0.9569, 0.7392], q:[0.7772, 0.4076], qb:[0.5493, 0.4836], phi:[0.4456]] | 2*t^2.22 + 2*t^2.67 + t^2.87 + t^2.9 + t^3.55 + t^3.98 + t^4.01 + t^4.21 + t^4.24 + 4*t^4.44 + t^4.63 + 4*t^4.89 + 2*t^5.09 + 2*t^5.12 + 3*t^5.35 + 2*t^5.54 + t^5.57 + t^5.74 + 2*t^5.77 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 709 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6779 | 0.8345 | 0.8124 | [X:[], M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]] | t^2.26 + 2*t^2.61 + t^2.79 + t^2.97 + t^3.56 + t^3.74 + t^3.92 + t^4.1 + t^4.16 + t^4.34 + 2*t^4.52 + 2*t^4.87 + t^4.94 + t^5.05 + 4*t^5.23 + t^5.4 + 2*t^5.58 + t^5.76 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y | detail |