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 |
|---|---|---|---|---|---|---|---|---|---|
| 3576 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6218 | 0.7859 | 0.7912 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125], q:[0.2812, 0.7188], qb:[0.4688, 0.7812], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2547/4096, c: 3219/4096, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_2M_6$, $ M_5M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ M_1M_6$, $ M_6\phi_1q_1^2$, $ M_5q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $\phi_1^2q_1^4$ | 0 | 2*t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^4.12 + t^4.31 + 4*t^4.5 + t^4.69 + 4*t^4.88 + t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 + 2*t^6.19 + t^6.38 + 2*t^6.56 + 5*t^6.75 + t^6.94 + 7*t^7.12 + 2*t^7.31 + 8*t^7.5 + 5*t^7.69 + 7*t^7.88 + 5*t^8.06 + t^8.25 + 3*t^8.44 + 2*t^8.62 + 3*t^8.81 - t^4.31/y - t^6.56/y - t^6.75/y - t^6.94/y + t^7.5/y + (3*t^7.69)/y + (3*t^7.88)/y + (2*t^8.06)/y + (4*t^8.25)/y + (4*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.56*y - t^6.75*y - t^6.94*y + t^7.5*y + 3*t^7.69*y + 3*t^7.88*y + 2*t^8.06*y + 4*t^8.25*y + 4*t^8.44*y + 3*t^8.62*y + 2*t^8.81*y | 2*t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^4.12 + t^4.31 + 4*t^4.5 + t^4.69 + 4*t^4.88 + t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 + 2*t^6.19 + t^6.38 + 2*t^6.56 + 5*t^6.75 + t^6.94 + 7*t^7.12 + 2*t^7.31 + 8*t^7.5 + 5*t^7.69 + 7*t^7.88 + 5*t^8.06 + t^8.25 + 3*t^8.44 + 2*t^8.62 + 3*t^8.81 - t^4.31/y - t^6.56/y - t^6.75/y - t^6.94/y + t^7.5/y + (3*t^7.69)/y + (3*t^7.88)/y + (2*t^8.06)/y + (4*t^8.25)/y + (4*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.56*y - t^6.75*y - t^6.94*y + t^7.5*y + 3*t^7.69*y + 3*t^7.88*y + 2*t^8.06*y + 4*t^8.25*y + 4*t^8.44*y + 3*t^8.62*y + 2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 5258 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_7q_1\tilde{q}_2$ | 0.6276 | 0.7956 | 0.7889 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125, 0.9375], q:[0.2812, 0.7188], qb:[0.4688, 0.7812], phi:[0.4375]] | 2*t^2.25 + t^2.44 + t^2.62 + t^2.81 + 2*t^3. + t^3.56 + t^4.12 + t^4.31 + 4*t^4.5 + t^4.69 + 4*t^4.88 + 3*t^5.06 + 5*t^5.25 + 2*t^5.44 + 4*t^5.62 + 3*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 82263/131072, c: 104279/131072, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, M7: 15/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
| 5259 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_7q_2\tilde{q}_1$ | 0.6376 | 0.8133 | 0.7839 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125, 0.8125], q:[0.2812, 0.7188], qb:[0.4688, 0.7812], phi:[0.4375]] | 2*t^2.25 + 2*t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^4.12 + t^4.31 + 4*t^4.5 + 3*t^4.69 + 6*t^4.88 + 2*t^5.06 + 4*t^5.25 + 5*t^5.44 + 5*t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 83565/131072, c: 106605/131072, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, M7: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2973 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.7023 | 0.8948 | 0.7849 | [X:[], M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | t^2.04 + t^2.1 + 2*t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.66 + t^3.72 + 2*t^4.07 + t^4.14 + 2*t^4.2 + t^4.38 + 2*t^4.56 + 2*t^4.62 + t^4.68 + t^4.8 + 2*t^4.86 + t^4.93 + 4*t^5.04 + t^5.1 + 2*t^5.28 + 2*t^5.34 + 2*t^5.52 + t^5.58 + t^5.65 + 3*t^5.76 + t^5.82 - 2*t^6. - t^4.38/y - t^4.38*y | detail |