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 |
|---|---|---|---|---|---|---|---|---|---|
| 2276 | 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\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6505 | 0.8155 | 0.7976 | [X:[], M:[1.1798, 0.7529, 0.8202, 0.8202, 1.2471, 0.7865, 0.7192], q:[0.8034, 0.4438], qb:[0.3764, 0.8034], phi:[0.3933]] | [X:[], M:[[-6], [-14], [6], [6], [14], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_5$, $ q_1q_2$, $ M_7^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_3M_7$, $ M_4M_7$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ 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_7\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_7q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -1 | t^2.16 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + 2*t^3.74 + t^4.32 + 2*t^4.52 + 2*t^4.62 + 3*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 4*t^5.9 - t^6. + 2*t^6.1 + 3*t^6.2 + t^6.47 + 2*t^6.67 + 2*t^6.78 + 4*t^6.88 + 5*t^6.98 + 5*t^7.08 + 6*t^7.18 + 5*t^7.28 + t^7.38 + 2*t^7.48 + t^7.75 + t^7.85 + t^7.96 + 4*t^8.06 + 3*t^8.26 - 3*t^8.46 + 2*t^8.56 + t^8.63 + 3*t^8.66 + 2*t^8.83 + 2*t^8.93 - t^4.18/y - t^6.34/y - (2*t^6.54)/y - t^6.64/y + (2*t^7.52)/y + (2*t^7.62)/y + (2*t^7.72)/y + (6*t^7.82)/y + t^7.92/y + t^8.02/y - t^8.5/y + t^8.6/y - t^8.7/y + t^8.8/y + (3*t^8.9)/y - t^4.18*y - t^6.34*y - 2*t^6.54*y - t^6.64*y + 2*t^7.52*y + 2*t^7.62*y + 2*t^7.72*y + 6*t^7.82*y + t^7.92*y + t^8.02*y - t^8.5*y + t^8.6*y - t^8.7*y + t^8.8*y + 3*t^8.9*y | t^2.16/g1^24 + (2*t^2.36)/g1^4 + 2*g1^6*t^2.46 + t^3.44/g1^16 + t^3.54/g1^6 + 2*g1^14*t^3.74 + t^4.32/g1^48 + (2*t^4.52)/g1^28 + (2*t^4.62)/g1^18 + (3*t^4.72)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.92 + t^5.6/g1^40 + t^5.7/g1^30 + t^5.8/g1^20 + (4*t^5.9)/g1^10 - t^6. + 2*g1^10*t^6.1 + 3*g1^20*t^6.2 + t^6.47/g1^72 + (2*t^6.67)/g1^52 + (2*t^6.78)/g1^42 + (4*t^6.88)/g1^32 + (5*t^6.98)/g1^22 + (5*t^7.08)/g1^12 + (6*t^7.18)/g1^2 + 5*g1^8*t^7.28 + g1^18*t^7.38 + 2*g1^28*t^7.48 + t^7.75/g1^64 + t^7.85/g1^54 + t^7.96/g1^44 + (4*t^8.06)/g1^34 + (3*t^8.26)/g1^14 - 3*g1^6*t^8.46 + 2*g1^16*t^8.56 + t^8.63/g1^96 + 3*g1^26*t^8.66 + (2*t^8.83)/g1^76 + (2*t^8.93)/g1^66 - t^4.18/(g1^2*y) - t^6.34/(g1^26*y) - (2*t^6.54)/(g1^6*y) - (g1^4*t^6.64)/y + (2*t^7.52)/(g1^28*y) + (2*t^7.62)/(g1^18*y) + (2*t^7.72)/(g1^8*y) + (6*g1^2*t^7.82)/y + (g1^12*t^7.92)/y + (g1^22*t^8.02)/y - t^8.5/(g1^50*y) + t^8.6/(g1^40*y) - t^8.7/(g1^30*y) + t^8.8/(g1^20*y) + (3*t^8.9)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.34*y)/g1^26 - (2*t^6.54*y)/g1^6 - g1^4*t^6.64*y + (2*t^7.52*y)/g1^28 + (2*t^7.62*y)/g1^18 + (2*t^7.72*y)/g1^8 + 6*g1^2*t^7.82*y + g1^12*t^7.92*y + g1^22*t^8.02*y - (t^8.5*y)/g1^50 + (t^8.6*y)/g1^40 - (t^8.7*y)/g1^30 + (t^8.8*y)/g1^20 + (3*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4287 | $\phi_1q_1^2$ + $ 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\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6055 | 0.7617 | 0.7949 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 1.0833, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 3*t^5. + 2*t^5.25 + 5*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 155/256, c: 195/256, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 13/12, M6: 5/6, M7: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1214 | 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\tilde{q}_1$ | 0.6309 | 0.7794 | 0.8094 | [X:[], M:[1.1884, 0.773, 0.8116, 0.8116, 1.227, 0.7923], q:[0.8019, 0.4251], qb:[0.3865, 0.8019], phi:[0.3961]] | 2*t^2.38 + 2*t^2.43 + t^3.51 + t^3.57 + 2*t^3.68 + t^3.74 + 3*t^4.75 + 5*t^4.81 + 3*t^4.87 + t^5.88 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail |