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 |
|---|---|---|---|---|---|---|---|---|---|
| 739 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ | 0.6477 | 0.8091 | 0.8005 | [X:[], M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | [X:[], M:[[-6], [-14], [6], [6], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -1 | t^2.31 + t^2.37 + 3*t^2.44 + t^3.5 + t^3.63 + t^3.69 + t^3.75 + t^4.62 + t^4.69 + 4*t^4.75 + 4*t^4.81 + 6*t^4.88 + t^5.81 + 2*t^5.94 - t^6. + 3*t^6.06 + 3*t^6.13 + 3*t^6.19 + t^6.94 + 2*t^7. + 3*t^7.06 + 3*t^7.12 + 7*t^7.19 + 6*t^7.25 + 8*t^7.31 + t^7.38 + t^7.44 + t^7.5 + t^8.12 + 2*t^8.25 - 3*t^8.31 - 5*t^8.44 + 5*t^8.5 + 6*t^8.56 + 6*t^8.63 - t^4.19/y - t^6.5/y - t^6.56/y - (2*t^6.63)/y + t^7.69/y + (5*t^7.75)/y + (4*t^7.81)/y + (4*t^7.88)/y + t^8.94/y - t^4.19*y - t^6.5*y - t^6.56*y - 2*t^6.63*y + t^7.69*y + 5*t^7.75*y + 4*t^7.81*y + 4*t^7.88*y + t^8.94*y | t^2.31/g1^14 + t^2.37/g1^4 + 3*g1^6*t^2.44 + t^3.5/g1^16 + g1^4*t^3.63 + g1^14*t^3.69 + g1^24*t^3.75 + t^4.62/g1^28 + t^4.69/g1^18 + (4*t^4.75)/g1^8 + 4*g1^2*t^4.81 + 6*g1^12*t^4.88 + t^5.81/g1^30 + (2*t^5.94)/g1^10 - t^6. + 3*g1^10*t^6.06 + 3*g1^20*t^6.13 + 3*g1^30*t^6.19 + t^6.94/g1^42 + (2*t^7.)/g1^32 + (3*t^7.06)/g1^22 + (3*t^7.12)/g1^12 + (7*t^7.19)/g1^2 + 6*g1^8*t^7.25 + 8*g1^18*t^7.31 + g1^28*t^7.38 + g1^38*t^7.44 + g1^48*t^7.5 + t^8.12/g1^44 + (2*t^8.25)/g1^24 - (3*t^8.31)/g1^14 - 5*g1^6*t^8.44 + 5*g1^16*t^8.5 + 6*g1^26*t^8.56 + 6*g1^36*t^8.63 - t^4.19/(g1^2*y) - t^6.5/(g1^16*y) - t^6.56/(g1^6*y) - (2*g1^4*t^6.63)/y + t^7.69/(g1^18*y) + (5*t^7.75)/(g1^8*y) + (4*g1^2*t^7.81)/y + (4*g1^12*t^7.88)/y + t^8.94/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.5*y)/g1^16 - (t^6.56*y)/g1^6 - 2*g1^4*t^6.63*y + (t^7.69*y)/g1^18 + (5*t^7.75*y)/g1^8 + 4*g1^2*t^7.81*y + 4*g1^12*t^7.88*y + (t^8.94*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1213 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_2^2$ | 0.5734 | 0.7431 | 0.7717 | [X:[], M:[1.2857, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.2143], qb:[0.5, 0.7857], phi:[0.4286]] | 3*t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + 7*t^4.29 + 7*t^4.71 + 8*t^5.14 + 5*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 3147/5488, c: 2039/2744, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
| 1215 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6647 | 0.8391 | 0.7922 | [X:[], M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | t^2.29 + 2*t^2.37 + 3*t^2.45 + t^3.48 + t^3.71 + t^3.78 + t^4.59 + 2*t^4.66 + 6*t^4.74 + 7*t^4.82 + 6*t^4.89 + t^5.77 + t^5.85 + t^5.92 - 2*t^6. - t^4.18/y - t^4.18*y | detail | |
| 1992 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2^2$ | 0.6674 | 0.8457 | 0.7891 | [X:[], M:[1.18, 0.7534, 0.82, 0.82, 0.82, 0.7201], q:[0.8033, 0.4433], qb:[0.3767, 0.8033], phi:[0.3933]] | t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. - t^4.18/y - t^4.18*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 441 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ | 0.6321 | 0.7818 | 0.8086 | [X:[], M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.28 + t^2.37 + 2*t^2.45 + t^3.46 + t^3.55 + t^3.63 + t^3.72 + t^3.8 + t^4.56 + t^4.65 + 3*t^4.73 + 3*t^4.82 + 3*t^4.9 + t^5.75 + t^5.83 + 2*t^5.92 + t^6. - t^4.18/y - t^4.18*y | detail |