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 |
|---|---|---|---|---|---|---|---|---|---|
| 2085 | 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_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5896 | 0.7288 | 0.809 | [X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]] | [X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ X_1$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3M_6$, $ M_3M_5$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_6^2$, $ M_5M_6$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.32 + t^2.45 + t^2.59 + t^2.86 + t^3. + t^3.55 + t^3.68 + t^3.96 + t^4.09 + t^4.64 + 2*t^4.77 + 2*t^4.91 + t^5.04 + 2*t^5.18 + 2*t^5.32 + t^5.45 + t^5.73 + t^5.86 + t^6.14 + 2*t^6.27 + 2*t^6.41 + 2*t^6.55 + 2*t^6.96 + t^7.23 + 3*t^7.36 + 3*t^7.5 + t^7.63 + 3*t^7.64 + 3*t^7.77 + t^7.91 + 2*t^8.05 + 2*t^8.18 - t^8.32 - t^8.45 + t^8.59 + 3*t^8.73 + t^8.86 - t^4.23/y - t^6.68/y - t^6.82/y - t^7.09/y + t^7.36/y + t^7.64/y + (2*t^7.77)/y + t^7.91/y + t^8.04/y + t^8.18/y + (2*t^8.32)/y + (2*t^8.45)/y + t^8.59/y + (2*t^8.86)/y - t^4.23*y - t^6.68*y - t^6.82*y - t^7.09*y + t^7.36*y + t^7.64*y + 2*t^7.77*y + t^7.91*y + t^8.04*y + t^8.18*y + 2*t^8.32*y + 2*t^8.45*y + t^8.59*y + 2*t^8.86*y | g1^3*t^2.32 + t^2.45/g1^2 + t^2.59/g1^7 + g1^5*t^2.86 + t^3. + g1^2*t^3.55 + t^3.68/g1^3 + g1^9*t^3.96 + g1^4*t^4.09 + g1^6*t^4.64 + 2*g1*t^4.77 + (2*t^4.91)/g1^4 + t^5.04/g1^9 + t^5.18/g1^14 + g1^8*t^5.18 + 2*g1^3*t^5.32 + t^5.45/g1^2 + g1^10*t^5.73 + g1^5*t^5.86 + t^6.14/g1^5 + t^6.27/g1^10 + g1^12*t^6.27 + 2*g1^7*t^6.41 + 2*g1^2*t^6.55 - t^6.82/g1^8 + g1^14*t^6.82 + 2*g1^9*t^6.96 + t^7.23/g1 + (3*t^7.36)/g1^6 + (2*t^7.5)/g1^11 + g1^11*t^7.5 + t^7.63/g1^16 + 3*g1^6*t^7.64 + t^7.77/g1^21 + 2*g1*t^7.77 + g1^18*t^7.91 + 2*g1^13*t^8.05 + 2*g1^8*t^8.18 - g1^3*t^8.32 - t^8.45/g1^2 - t^8.59/g1^7 + 2*g1^15*t^8.59 + t^8.73/g1^12 + 2*g1^10*t^8.73 + t^8.86/g1^17 - t^4.23/(g1*y) - t^6.68/(g1^3*y) - t^6.82/(g1^8*y) - (g1^4*t^7.09)/y + t^7.36/(g1^6*y) + (g1^6*t^7.64)/y + (2*g1*t^7.77)/y + t^7.91/(g1^4*y) + t^8.04/(g1^9*y) + (g1^8*t^8.18)/y + (2*g1^3*t^8.32)/y + (2*t^8.45)/(g1^2*y) + t^8.59/(g1^7*y) + (2*g1^5*t^8.86)/y - (t^4.23*y)/g1 - (t^6.68*y)/g1^3 - (t^6.82*y)/g1^8 - g1^4*t^7.09*y + (t^7.36*y)/g1^6 + g1^6*t^7.64*y + 2*g1*t^7.77*y + (t^7.91*y)/g1^4 + (t^8.04*y)/g1^9 + g1^8*t^8.18*y + 2*g1^3*t^8.32*y + (2*t^8.45*y)/g1^2 + (t^8.59*y)/g1^7 + 2*g1^5*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 3147 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6051 | 0.7555 | 0.8009 | [X:[1.5927], M:[0.4073, 1.222, 0.778, 0.8514, 1.0, 0.9633, 0.8147], q:[0.9073, 0.6853], qb:[0.3147, 0.4633], phi:[0.4073]] | t^2.33 + 2*t^2.44 + t^2.55 + t^2.89 + t^3. + t^3.67 + t^4. + t^4.11 + t^4.67 + 3*t^4.78 + 4*t^4.89 + 2*t^5. + t^5.11 + t^5.22 + 3*t^5.33 + 2*t^5.44 + t^5.78 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 3146 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6104 | 0.7697 | 0.793 | [X:[1.5916], M:[0.4084, 1.2253, 0.7747, 0.8591, 1.0, 0.9578, 0.676], q:[0.9084, 0.6831], qb:[0.3169, 0.4578], phi:[0.4084]] | t^2.03 + t^2.32 + t^2.45 + t^2.58 + t^2.87 + t^3. + t^3.55 + t^3.68 + t^4.06 + t^4.1 + t^4.35 + t^4.48 + t^4.61 + t^4.65 + 2*t^4.77 + 3*t^4.9 + 2*t^5.03 + t^5.15 + t^5.2 + 2*t^5.32 + t^5.45 + t^5.58 + t^5.7 + t^5.75 + t^5.87 - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | 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_6\phi_1\tilde{q}_1^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail |