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 |
|---|---|---|---|---|---|---|---|---|---|
| 2884 | 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_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ | 0.6792 | 0.8528 | 0.7964 | [X:[], M:[0.8412, 1.0794, 1.0, 1.1588, 0.6823, 0.7617], q:[0.389, 0.7699], qb:[0.4522, 0.5478], phi:[0.4603]] | [X:[], M:[[-8], [4], [0], [8], [-16], [-12]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_2M_5$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_2M_6$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_4M_6$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6q_2\tilde{q}_1$ | . | -1 | t^2.05 + t^2.29 + t^2.52 + t^2.81 + t^3. + t^3.24 + t^3.48 + t^3.67 + t^3.9 + 2*t^4.09 + t^4.19 + t^4.33 + t^4.38 + 2*t^4.57 + t^4.67 + t^4.81 + t^4.86 + 2*t^5.05 + t^5.1 + 2*t^5.29 + t^5.33 + 2*t^5.52 + t^5.62 + 2*t^5.76 + 2*t^5.95 - t^6. + t^6.05 + 2*t^6.14 + t^6.19 + t^6.24 + 2*t^6.38 + t^6.43 + 2*t^6.48 + 3*t^6.62 + t^6.67 + 2*t^6.71 + 2*t^6.86 + 3*t^6.9 + t^7. + 3*t^7.09 + t^7.14 + t^7.19 + 4*t^7.33 + t^7.38 + t^7.48 + 4*t^7.57 + t^7.62 + t^7.67 + t^7.76 + 3*t^7.81 + t^7.91 + 2*t^8. + t^8.05 + t^8.14 + 3*t^8.19 + t^8.24 + t^8.29 + 3*t^8.43 + 3*t^8.47 - t^8.52 + t^8.57 + 4*t^8.66 + t^8.71 + 4*t^8.76 - 3*t^8.81 + 2*t^8.86 + 3*t^8.9 + 3*t^8.95 - t^4.38/y - t^6.43/y - t^6.67/y + t^7.33/y + t^7.57/y + t^7.81/y + t^7.86/y + t^8.05/y + (2*t^8.1)/y + (2*t^8.29)/y + (2*t^8.33)/y - t^8.47/y + (3*t^8.52)/y + (2*t^8.76)/y + t^8.81/y + t^8.95/y - t^4.38*y - t^6.43*y - t^6.67*y + t^7.33*y + t^7.57*y + t^7.81*y + t^7.86*y + t^8.05*y + 2*t^8.1*y + 2*t^8.29*y + 2*t^8.33*y - t^8.47*y + 3*t^8.52*y + 2*t^8.76*y + t^8.81*y + t^8.95*y | t^2.05/g1^16 + t^2.29/g1^12 + t^2.52/g1^8 + g1^22*t^2.81 + t^3. + g1^4*t^3.24 + g1^8*t^3.48 + t^3.67/g1^14 + t^3.9/g1^10 + (2*t^4.09)/g1^32 + g1^20*t^4.19 + t^4.33/g1^28 + t^4.38/g1^2 + (2*t^4.57)/g1^24 + g1^28*t^4.67 + t^4.81/g1^20 + g1^6*t^4.86 + (2*t^5.05)/g1^16 + g1^10*t^5.1 + (2*t^5.29)/g1^12 + g1^14*t^5.33 + (2*t^5.52)/g1^8 + g1^44*t^5.62 + (2*t^5.76)/g1^4 + (2*t^5.95)/g1^26 - t^6. + g1^26*t^6.05 + (2*t^6.14)/g1^48 + t^6.19/g1^22 + g1^4*t^6.24 + (2*t^6.38)/g1^44 + t^6.43/g1^18 + 2*g1^8*t^6.48 + (3*t^6.62)/g1^40 + t^6.67/g1^14 + 2*g1^12*t^6.71 + (2*t^6.86)/g1^36 + (3*t^6.9)/g1^10 + g1^42*t^7. + (3*t^7.09)/g1^32 + t^7.14/g1^6 + g1^20*t^7.19 + (4*t^7.33)/g1^28 + t^7.38/g1^2 + g1^50*t^7.48 + (4*t^7.57)/g1^24 + g1^2*t^7.62 + g1^28*t^7.67 + t^7.76/g1^46 + (3*t^7.81)/g1^20 + g1^32*t^7.91 + (2*t^8.)/g1^42 + t^8.05/g1^16 + g1^36*t^8.14 + (3*t^8.19)/g1^64 + t^8.24/g1^38 + t^8.29/g1^12 + (2*t^8.43)/g1^60 + g1^66*t^8.43 + (3*t^8.47)/g1^34 - t^8.52/g1^8 + g1^18*t^8.57 + (4*t^8.66)/g1^56 + t^8.71/g1^30 + (4*t^8.76)/g1^4 - 3*g1^22*t^8.81 + 2*g1^48*t^8.86 + (3*t^8.9)/g1^52 + (3*t^8.95)/g1^26 - t^4.38/(g1^2*y) - t^6.43/(g1^18*y) - t^6.67/(g1^14*y) + t^7.33/(g1^28*y) + t^7.57/(g1^24*y) + t^7.81/(g1^20*y) + (g1^6*t^7.86)/y + t^8.05/(g1^16*y) + (2*g1^10*t^8.1)/y + (2*t^8.29)/(g1^12*y) + (2*g1^14*t^8.33)/y - t^8.47/(g1^34*y) + (3*t^8.52)/(g1^8*y) + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.81)/y + t^8.95/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.43*y)/g1^18 - (t^6.67*y)/g1^14 + (t^7.33*y)/g1^28 + (t^7.57*y)/g1^24 + (t^7.81*y)/g1^20 + g1^6*t^7.86*y + (t^8.05*y)/g1^16 + 2*g1^10*t^8.1*y + (2*t^8.29*y)/g1^12 + 2*g1^14*t^8.33*y - (t^8.47*y)/g1^34 + (3*t^8.52*y)/g1^8 + (2*t^8.76*y)/g1^4 + g1^22*t^8.81*y + (t^8.95*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3447 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6998 | 0.8922 | 0.7843 | [X:[], M:[0.8424, 1.0788, 1.0, 1.1576, 0.6848, 0.7636, 0.697], q:[0.3879, 0.7697], qb:[0.4545, 0.5455], phi:[0.4606]] | t^2.05 + t^2.09 + t^2.29 + t^2.53 + t^2.8 + t^3. + t^3.24 + t^3.47 + t^3.67 + 2*t^4.11 + t^4.15 + 2*t^4.18 + t^4.35 + 2*t^4.38 + 2*t^4.58 + t^4.62 + t^4.65 + t^4.82 + t^4.85 + t^4.89 + 2*t^5.05 + 2*t^5.09 + 2*t^5.29 + 2*t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 3*t^5.76 + t^5.96 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1875 | 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_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | t^2.07 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.7 + t^3.92 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.61 + t^4.62 + t^4.85 + 2*t^5.07 + t^5.3 + t^5.31 + t^5.54 + t^5.55 + 2*t^5.77 + t^5.99 - t^6. - t^4.38/y - t^4.38*y | detail |