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 |
|---|---|---|---|---|---|---|---|---|---|
| 1282 | 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_4M_6$ | 0.6977 | 0.8557 | 0.8153 | [X:[], M:[0.9812, 0.9436, 1.0188, 1.0564, 0.9812, 0.9436], q:[0.5658, 0.453], qb:[0.4906, 0.5282], phi:[0.4906]] | [X:[], M:[[-2], [-6], [2], [6], [-2], [-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_6$, $ M_1$, $ M_5$, $ \phi_1^2$, $ \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_6$, $ M_6^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.83 + 3*t^2.94 + t^3.06 + t^3.28 + t^4.19 + t^4.3 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.75 + t^4.87 + 2*t^5.66 + 4*t^5.77 + 5*t^5.89 - t^6. - t^6.11 + t^6.23 + t^6.56 + 2*t^7.02 + 4*t^7.13 + 4*t^7.25 + 5*t^7.36 + 5*t^7.47 + 3*t^7.58 + 2*t^7.7 + 2*t^7.81 + t^7.92 + t^8.04 + t^8.15 + t^8.38 + 3*t^8.49 + 5*t^8.61 + 7*t^8.72 + 4*t^8.83 - 5*t^8.94 - t^4.47/y - t^7.3/y - (2*t^7.42)/y + (2*t^7.53)/y + t^7.64/y + t^8.66/y + (6*t^8.77)/y + (5*t^8.89)/y - t^4.47*y - t^7.3*y - 2*t^7.42*y + 2*t^7.53*y + t^7.64*y + t^8.66*y + 6*t^8.77*y + 5*t^8.89*y | (2*t^2.83)/g1^6 + (3*t^2.94)/g1^2 + g1^2*t^3.06 + g1^10*t^3.28 + t^4.19/g1^11 + t^4.3/g1^7 + (2*t^4.42)/g1^3 + 2*g1*t^4.53 + 2*g1^5*t^4.64 + g1^9*t^4.75 + g1^13*t^4.87 + (2*t^5.66)/g1^12 + (4*t^5.77)/g1^8 + (5*t^5.89)/g1^4 - t^6. - g1^4*t^6.11 + g1^8*t^6.23 + g1^20*t^6.56 + (2*t^7.02)/g1^17 + (4*t^7.13)/g1^13 + (4*t^7.25)/g1^9 + (5*t^7.36)/g1^5 + (5*t^7.47)/g1 + 3*g1^3*t^7.58 + 2*g1^7*t^7.7 + 2*g1^11*t^7.81 + g1^15*t^7.92 + g1^19*t^8.04 + g1^23*t^8.15 + t^8.38/g1^22 + (3*t^8.49)/g1^18 + (5*t^8.61)/g1^14 + (7*t^8.72)/g1^10 + (4*t^8.83)/g1^6 - (5*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.3/(g1^7*y) - (2*t^7.42)/(g1^3*y) + (2*g1*t^7.53)/y + (g1^5*t^7.64)/y + t^8.66/(g1^12*y) + (6*t^8.77)/(g1^8*y) + (5*t^8.89)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.3*y)/g1^7 - (2*t^7.42*y)/g1^3 + 2*g1*t^7.53*y + g1^5*t^7.64*y + (t^8.66*y)/g1^12 + (6*t^8.77*y)/g1^8 + (5*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 2323 | $M_1q_1q_2$ + $ \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_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7086 | 0.8769 | 0.8081 | [X:[], M:[0.9704, 0.9111, 1.0296, 1.0889, 0.9704, 0.9111, 0.8519], q:[0.6037, 0.426], qb:[0.4852, 0.5444], phi:[0.4852]] | t^2.56 + 2*t^2.73 + 3*t^2.91 + t^3.09 + t^4.01 + t^4.19 + 2*t^4.37 + 2*t^4.54 + 2*t^4.72 + t^4.9 + t^5.08 + t^5.11 + 2*t^5.29 + 5*t^5.47 + 5*t^5.64 + 5*t^5.82 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 2321 | $M_1q_1q_2$ + $ \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_4M_6$ + $ \phi_1q_1^2$ | 0.6402 | 0.8037 | 0.7966 | [X:[], M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.7692], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | 2*t^2.31 + 3*t^2.77 + 2*t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 6*t^5.08 + 8*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 11253/17576, c: 7063/8788, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |