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 |
|---|---|---|---|---|---|---|---|---|---|
| 1631 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6985 | 0.8743 | 0.7989 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 91557/131072, c: 114597/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_6q_1q_2$, $ M_4q_1\tilde{q}_2$ | . | -1 | t^2.06 + t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + t^3.75 + 3*t^4.12 + 2*t^4.31 + 2*t^4.5 + 2*t^4.69 + 4*t^4.88 + 2*t^5.06 + 4*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. + 3*t^6.19 + 5*t^6.38 + 3*t^6.56 + 6*t^6.75 + 5*t^6.94 + 7*t^7.12 + 5*t^7.31 + 5*t^7.5 + 4*t^7.69 + 8*t^7.88 + t^8.06 + 4*t^8.25 + 5*t^8.44 + 3*t^8.62 + 3*t^8.81 - t^4.31/y - t^6.38/y - t^6.56/y - t^6.94/y - t^7.12/y + t^7.31/y + t^7.5/y + (3*t^7.69)/y + (3*t^7.88)/y + (3*t^8.06)/y + (3*t^8.25)/y + t^8.44/y + (2*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.38*y - t^6.56*y - t^6.94*y - t^7.12*y + t^7.31*y + t^7.5*y + 3*t^7.69*y + 3*t^7.88*y + 3*t^8.06*y + 3*t^8.25*y + t^8.44*y + 2*t^8.62*y + 2*t^8.81*y | t^2.06 + t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + t^3.75 + 3*t^4.12 + 2*t^4.31 + 2*t^4.5 + 2*t^4.69 + 4*t^4.88 + 2*t^5.06 + 4*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. + 3*t^6.19 + 5*t^6.38 + 3*t^6.56 + 6*t^6.75 + 5*t^6.94 + 7*t^7.12 + 5*t^7.31 + 5*t^7.5 + 4*t^7.69 + 8*t^7.88 + t^8.06 + 4*t^8.25 + 5*t^8.44 + 3*t^8.62 + 3*t^8.81 - t^4.31/y - t^6.38/y - t^6.56/y - t^6.94/y - t^7.12/y + t^7.31/y + t^7.5/y + (3*t^7.69)/y + (3*t^7.88)/y + (3*t^8.06)/y + (3*t^8.25)/y + t^8.44/y + (2*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.38*y - t^6.56*y - t^6.94*y - t^7.12*y + t^7.31*y + t^7.5*y + 3*t^7.69*y + 3*t^7.88*y + 3*t^8.06*y + 3*t^8.25*y + t^8.44*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 4023 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.6927 | 0.8646 | 0.8012 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75, 1.0625], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.06 + t^2.25 + 2*t^2.62 + t^3. + t^3.19 + t^3.56 + t^3.75 + 3*t^4.12 + 2*t^4.31 + 2*t^4.5 + 2*t^4.69 + 3*t^4.88 + t^5.06 + 5*t^5.25 + 2*t^5.62 + 3*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 45399/65536, c: 56663/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, M7: 17/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 4024 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6795 | 0.8396 | 0.8093 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75, 1.25], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.06 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + 2*t^3.75 + 3*t^4.12 + t^4.31 + t^4.5 + 2*t^4.69 + 2*t^4.88 + t^5.06 + 3*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 89061/131072, c: 110053/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, M7: 5/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 4026 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7142 | 0.9017 | 0.7921 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75, 0.8125], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.75 + 3*t^4.12 + 2*t^4.31 + 3*t^4.5 + 3*t^4.69 + 5*t^4.88 + 4*t^5.06 + 5*t^5.25 + 2*t^5.44 + 2*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 46809/65536, c: 59097/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, M7: 13/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 4090 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7176 | 0.909 | 0.7894 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.875, 0.75, 0.75], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.06 + 2*t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + 3*t^4.12 + 3*t^4.31 + 4*t^4.5 + 2*t^4.69 + 6*t^4.88 + 3*t^5.06 + 5*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 94053/131072, c: 119141/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 7/8, M6: 3/4, M7: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1047 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.701 | 0.8802 | 0.7964 | [X:[], M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | t^2.02 + t^2.07 + 2*t^2.65 + t^2.95 + t^3. + t^3.64 + t^3.69 + 3*t^4.04 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.67 + 3*t^4.73 + t^4.96 + 2*t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + 2*t^5.65 + 2*t^5.71 + t^5.76 + t^5.89 - 2*t^6. - t^4.33/y - t^4.33*y | detail |