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 |
|---|---|---|---|---|---|---|---|---|---|
| 1990 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.6332 | 0.7848 | 0.8069 | [X:[], M:[1.1817, 0.7572, 0.8183, 0.8183, 1.2428, 0.7266], q:[0.8031, 0.4397], qb:[0.3786, 0.8031], phi:[0.3939]] | [X:[], M:[[-6], [-14], [6], [6], [14], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ q_1q_2$, $ M_6^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_6q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 0 | t^2.18 + t^2.36 + 2*t^2.46 + t^3.45 + t^3.54 + t^3.64 + 2*t^3.73 + t^4.36 + t^4.54 + 2*t^4.63 + t^4.73 + 3*t^4.82 + 3*t^4.91 + t^5.63 + t^5.72 + t^5.82 + 3*t^5.91 + 2*t^6.09 + 3*t^6.18 + t^6.54 + t^6.72 + 2*t^6.81 + 2*t^6.91 + 3*t^7. + 3*t^7.09 + 2*t^7.18 + 3*t^7.27 + 3*t^7.37 + 2*t^7.46 + t^7.81 + t^7.9 + t^8. + 3*t^8.09 + t^8.27 + 2*t^8.36 - 2*t^8.46 + 2*t^8.55 + 3*t^8.64 + t^8.72 + t^8.9 + 2*t^8.99 - t^4.18/y - t^6.36/y - t^6.54/y - t^6.64/y + t^7.54/y + (2*t^7.63)/y + t^7.73/y + (3*t^7.82)/y + t^7.91/y + t^8./y - t^8.54/y + t^8.63/y + t^8.82/y + (4*t^8.91)/y - t^4.18*y - t^6.36*y - t^6.54*y - t^6.64*y + t^7.54*y + 2*t^7.63*y + t^7.73*y + 3*t^7.82*y + t^7.91*y + t^8.*y - t^8.54*y + t^8.63*y + t^8.82*y + 4*t^8.91*y | t^2.18/g1^24 + t^2.36/g1^4 + 2*g1^6*t^2.46 + t^3.45/g1^16 + t^3.54/g1^6 + g1^4*t^3.64 + 2*g1^14*t^3.73 + t^4.36/g1^48 + t^4.54/g1^28 + (2*t^4.63)/g1^18 + t^4.73/g1^8 + 3*g1^2*t^4.82 + 3*g1^12*t^4.91 + t^5.63/g1^40 + t^5.72/g1^30 + t^5.82/g1^20 + (3*t^5.91)/g1^10 + 2*g1^10*t^6.09 + 3*g1^20*t^6.18 + t^6.54/g1^72 + t^6.72/g1^52 + (2*t^6.81)/g1^42 + (2*t^6.91)/g1^32 + (3*t^7.)/g1^22 + (3*t^7.09)/g1^12 + (2*t^7.18)/g1^2 + 3*g1^8*t^7.27 + 3*g1^18*t^7.37 + 2*g1^28*t^7.46 + t^7.81/g1^64 + t^7.9/g1^54 + t^8./g1^44 + (3*t^8.09)/g1^34 + t^8.27/g1^14 + (2*t^8.36)/g1^4 - 2*g1^6*t^8.46 + 2*g1^16*t^8.55 + 3*g1^26*t^8.64 + t^8.72/g1^96 + t^8.9/g1^76 + (2*t^8.99)/g1^66 - t^4.18/(g1^2*y) - t^6.36/(g1^26*y) - t^6.54/(g1^6*y) - (g1^4*t^6.64)/y + t^7.54/(g1^28*y) + (2*t^7.63)/(g1^18*y) + t^7.73/(g1^8*y) + (3*g1^2*t^7.82)/y + (g1^12*t^7.91)/y + (g1^22*t^8.)/y - t^8.54/(g1^50*y) + t^8.63/(g1^40*y) + t^8.82/(g1^20*y) + (4*t^8.91)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.36*y)/g1^26 - (t^6.54*y)/g1^6 - g1^4*t^6.64*y + (t^7.54*y)/g1^28 + (2*t^7.63*y)/g1^18 + (t^7.73*y)/g1^8 + 3*g1^2*t^7.82*y + g1^12*t^7.91*y + g1^22*t^8.*y - (t^8.54*y)/g1^50 + (t^8.63*y)/g1^40 + (t^8.82*y)/g1^20 + (4*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3043 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.5911 | 0.737 | 0.8021 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 1.0833, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 227/384, c: 283/384, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 13/12, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 738 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ | 0.614 | 0.75 | 0.8186 | [X:[], M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | t^2.38 + 2*t^2.43 + t^3.53 + t^3.57 + t^3.62 + 2*t^3.66 + t^3.7 + t^4.77 + 3*t^4.81 + 3*t^4.85 + t^5.96 - t^4.19/y - t^4.19*y | detail |