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 |
|---|---|---|---|---|---|---|---|---|---|
| 804 | 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_4M_5$ | 0.696 | 0.8528 | 0.8162 | [X:[], M:[0.9839, 0.9516, 1.0161, 1.0484, 0.9516], q:[0.5564, 0.4597], qb:[0.4919, 0.5242], phi:[0.4919]] | [X:[], M:[[-2], [-6], [2], [6], [-6]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ 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_2^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_2$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_3M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.85 + 2*t^2.95 + 2*t^3.05 + t^3.24 + t^4.23 + t^4.33 + 2*t^4.43 + 2*t^4.52 + 2*t^4.62 + t^4.72 + t^4.81 + 2*t^5.71 + 2*t^5.81 + 4*t^5.9 + t^6.1 + t^6.29 + t^6.48 + 2*t^7.09 + 3*t^7.19 + 4*t^7.28 + 4*t^7.38 + 5*t^7.48 + 3*t^7.57 + 3*t^7.67 + 2*t^7.77 + 2*t^7.86 + t^7.96 + t^8.06 + t^8.47 + 3*t^8.56 + 3*t^8.66 + 5*t^8.76 + t^8.85 - t^4.48/y - t^7.33/y - t^7.43/y + t^7.52/y + t^7.62/y + t^8.71/y + (4*t^8.81)/y + (5*t^8.9)/y - t^4.48*y - t^7.33*y - t^7.43*y + t^7.52*y + t^7.62*y + t^8.71*y + 4*t^8.81*y + 5*t^8.9*y | (2*t^2.85)/g1^6 + (2*t^2.95)/g1^2 + 2*g1^2*t^3.05 + g1^10*t^3.24 + t^4.23/g1^11 + t^4.33/g1^7 + (2*t^4.43)/g1^3 + 2*g1*t^4.52 + 2*g1^5*t^4.62 + g1^9*t^4.72 + g1^13*t^4.81 + (2*t^5.71)/g1^12 + (2*t^5.81)/g1^8 + (4*t^5.9)/g1^4 + g1^4*t^6.1 + g1^12*t^6.29 + g1^20*t^6.48 + (2*t^7.09)/g1^17 + (3*t^7.19)/g1^13 + (4*t^7.28)/g1^9 + (4*t^7.38)/g1^5 + (5*t^7.48)/g1 + 3*g1^3*t^7.57 + 3*g1^7*t^7.67 + 2*g1^11*t^7.77 + 2*g1^15*t^7.86 + g1^19*t^7.96 + g1^23*t^8.06 + t^8.47/g1^22 + (3*t^8.56)/g1^18 + (3*t^8.66)/g1^14 + (5*t^8.76)/g1^10 + t^8.85/g1^6 - t^4.48/(g1*y) - t^7.33/(g1^7*y) - t^7.43/(g1^3*y) + (g1*t^7.52)/y + (g1^5*t^7.62)/y + t^8.71/(g1^12*y) + (4*t^8.81)/(g1^8*y) + (5*t^8.9)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.33*y)/g1^7 - (t^7.43*y)/g1^3 + g1*t^7.52*y + g1^5*t^7.62*y + (t^8.71*y)/g1^12 + (4*t^8.81*y)/g1^8 + (5*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 1283 | $M_1q_1q_2$ + $ \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_4M_5$ + $ M_1M_6$ | 0.6946 | 0.8505 | 0.8168 | [X:[], M:[0.9865, 0.9596, 1.0135, 1.0404, 0.9596, 1.0135], q:[0.5471, 0.4663], qb:[0.4933, 0.5202], phi:[0.4933]] | 2*t^2.88 + t^2.96 + 3*t^3.04 + 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^5.76 + 4*t^5.92 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 2008 | $M_1q_1q_2$ + $ \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_4M_5$ + $ \phi_1q_1^2$ | 0.6332 | 0.7918 | 0.7996 | [X:[], M:[0.9231, 0.7692, 1.0769, 1.2308, 0.7692], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | 2*t^2.31 + 2*t^2.77 + 3*t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 4*t^5.08 + 7*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 22257/35152, c: 13917/17576, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 10/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 513 | 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$ | 0.6926 | 0.8476 | 0.8172 | [X:[], M:[0.9918, 0.9753, 1.0082, 1.0247], q:[0.5288, 0.4795], qb:[0.4959, 0.5123], phi:[0.4959]] | t^2.93 + 2*t^2.98 + 2*t^3.02 + t^3.07 + t^3.12 + t^4.36 + t^4.41 + 2*t^4.46 + 2*t^4.51 + 2*t^4.56 + t^4.61 + t^4.66 + 2*t^5.95 + t^6. - t^4.49/y - t^4.49*y | detail |