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 |
|---|---|---|---|---|---|---|---|---|---|
| 1281 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6946 | 0.8505 | 0.8168 | [X:[], M:[0.9864, 0.9593, 1.0136, 1.0407, 0.9864, 0.9864], q:[0.5475, 0.4661], qb:[0.4932, 0.5204], phi:[0.4932]] | [X:[], M:[[-2], [-6], [2], [6], [-2], [-2]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | . | -3 | t^2.88 + 4*t^2.96 + t^3.12 + t^3.2 + t^4.28 + t^4.36 + 2*t^4.44 + 2*t^4.52 + 2*t^4.6 + t^4.68 + t^4.76 + 2*t^5.84 + 7*t^5.92 - 3*t^6. + t^6.08 + 2*t^6.16 + t^6.33 + t^6.41 + t^7.15 + 4*t^7.24 + 2*t^7.32 + 5*t^7.4 + 4*t^7.48 + 4*t^7.56 + 2*t^7.64 + 4*t^7.72 + t^7.81 + 2*t^7.89 + t^7.97 + t^8.55 + t^8.63 + t^8.71 + 4*t^8.8 + 11*t^8.88 - 10*t^8.96 - t^4.48/y - (3*t^7.44)/y + (3*t^7.52)/y + (4*t^8.84)/y + (6*t^8.92)/y - t^4.48*y - 3*t^7.44*y + 3*t^7.52*y + 4*t^8.84*y + 6*t^8.92*y | t^2.88/g1^6 + (4*t^2.96)/g1^2 + g1^6*t^3.12 + g1^10*t^3.2 + t^4.28/g1^11 + t^4.36/g1^7 + (2*t^4.44)/g1^3 + 2*g1*t^4.52 + 2*g1^5*t^4.6 + g1^9*t^4.68 + g1^13*t^4.76 + (2*t^5.84)/g1^8 + (7*t^5.92)/g1^4 - 3*t^6. + g1^4*t^6.08 + 2*g1^8*t^6.16 + g1^16*t^6.33 + g1^20*t^6.41 + t^7.15/g1^17 + (4*t^7.24)/g1^13 + (2*t^7.32)/g1^9 + (5*t^7.4)/g1^5 + (4*t^7.48)/g1 + 4*g1^3*t^7.56 + 2*g1^7*t^7.64 + 4*g1^11*t^7.72 + g1^15*t^7.81 + 2*g1^19*t^7.89 + g1^23*t^7.97 + t^8.55/g1^22 + t^8.63/g1^18 + t^8.71/g1^14 + (4*t^8.8)/g1^10 + (11*t^8.88)/g1^6 - (10*t^8.96)/g1^2 - t^4.48/(g1*y) - (3*t^7.44)/(g1^3*y) + (3*g1*t^7.52)/y + (4*t^8.84)/(g1^8*y) + (6*t^8.92)/(g1^4*y) - (t^4.48*y)/g1 - (3*t^7.44*y)/g1^3 + 3*g1*t^7.52*y + (4*t^8.84*y)/g1^8 + (6*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2318 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ | 0.6995 | 0.8591 | 0.8142 | [X:[], M:[0.9785, 0.9356, 1.0215, 1.0644, 0.9785, 0.9785, 0.9356], q:[0.5751, 0.4464], qb:[0.4893, 0.5322], phi:[0.4893]] | 2*t^2.81 + 4*t^2.94 + t^3.32 + t^4.15 + t^4.27 + 2*t^4.4 + 2*t^4.53 + 2*t^4.66 + t^4.79 + t^4.92 + 2*t^5.61 + 6*t^5.74 + 7*t^5.87 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2319 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6292 | 0.783 | 0.8035 | [X:[], M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.9231], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | t^2.31 + 4*t^2.77 + t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 4*t^5.08 + 9*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 5529/8788, c: 6881/8788, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 12/13, q1: 10/13, q2: 4/13, qb1: 6/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 802 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ | 0.6935 | 0.8487 | 0.8171 | [X:[], M:[0.9891, 0.9673, 1.0109, 1.0327, 0.9891], q:[0.5381, 0.4728], qb:[0.4946, 0.5163], phi:[0.4946]] | t^2.9 + 3*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + 2*t^4.52 + 2*t^4.58 + t^4.65 + t^4.71 + t^5.87 + 4*t^5.93 - t^4.48/y - t^4.48*y | detail |