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 |
|---|---|---|---|---|---|---|---|---|---|
| 1330 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9664, 1.0309, 0.9719, 0.9383, 1.0, 1.0617, 0.9383], q:[0.5785, 0.4551], qb:[0.4832, 0.5449], phi:[0.4846]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [4, -4], [0, 0], [-4, 4], [4, -4]], q:[[-8, 4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_3$, $ M_5$, $ M_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_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_4$, $ M_1M_7$, $ M_3M_4$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_3^2$, $ M_2M_4$, $ M_2M_7$, $ M_1M_2$ | . | -3 | 2*t^2.81 + t^2.9 + t^2.92 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.35 + t^4.45 + t^4.54 + t^4.55 + t^4.64 + t^4.72 + t^4.82 + t^4.92 + 2*t^5.63 + t^5.71 + t^5.73 + t^5.8 + 2*t^5.81 + t^5.83 + 2*t^5.91 + t^5.99 - 3*t^6. + t^6.01 - t^6.08 + t^6.09 - t^6.1 + t^6.19 + t^6.46 + t^6.74 + 2*t^7. + 2*t^7.08 + t^7.1 + 2*t^7.17 + t^7.18 + t^7.25 + 2*t^7.27 + 2*t^7.35 + t^7.37 + t^7.44 + t^7.45 + t^7.47 + 2*t^7.54 + t^7.55 + t^7.62 + t^7.64 + t^7.72 + t^7.74 + t^7.82 + t^7.84 + t^7.92 + t^8.09 + t^8.19 + t^8.3 + t^8.37 + 2*t^8.44 + t^8.45 + t^8.53 + t^8.54 + t^8.61 + t^8.62 + t^8.63 + t^8.64 + t^8.65 + t^8.7 + t^8.71 + 3*t^8.72 + t^8.74 + t^8.75 - 4*t^8.81 + 2*t^8.82 + 2*t^8.89 - 5*t^8.9 + 4*t^8.91 - 3*t^8.92 - t^8.98 + 2*t^8.99 - t^4.45/y - t^7.27/y - t^7.35/y - t^7.37/y + t^7.54/y + t^7.55/y + t^7.64/y + t^8.63/y + (2*t^8.71)/y + (2*t^8.73)/y + (3*t^8.81)/y + t^8.9/y + (2*t^8.91)/y + t^8.92/y + t^8.99/y - t^4.45*y - t^7.27*y - t^7.35*y - t^7.37*y + t^7.54*y + t^7.55*y + t^7.64*y + t^8.63*y + 2*t^8.71*y + 2*t^8.73*y + 3*t^8.81*y + t^8.9*y + 2*t^8.91*y + t^8.92*y + t^8.99*y | (2*g1^4*t^2.81)/g2^4 + g1^8*t^2.9 + t^2.92/(g1^4*g2^4) + t^3. + (g2^2*t^3.09)/g1^2 + (g2^8*t^3.37)/g1^8 + (g1*t^4.18)/g2^9 + (g1^5*t^4.27)/g2^5 + (g1^9*t^4.35)/g2 + (g1*t^4.45)/g2 + g1^5*g2^3*t^4.54 + t^4.55/(g1^7*g2) + (g2^3*t^4.64)/g1^3 + g1*g2^7*t^4.72 + (g2^7*t^4.82)/g1^7 + (g2^7*t^4.92)/g1^15 + (2*g1^8*t^5.63)/g2^8 + (g1^12*t^5.71)/g2^4 + t^5.73/g2^8 + g1^16*t^5.8 + (2*g1^4*t^5.81)/g2^4 + t^5.83/(g1^8*g2^8) + (2*g1^2*t^5.91)/g2^2 + g1^6*g2^2*t^5.99 - 3*t^6. + t^6.01/(g1^6*g2^2) - g1^4*g2^4*t^6.08 + (g2^2*t^6.09)/g1^2 - t^6.1/g1^8 + (g2^4*t^6.19)/g1^4 + (g2^10*t^6.46)/g1^10 + (g2^16*t^6.74)/g1^16 + (2*g1^5*t^7.)/g2^13 + (2*g1^9*t^7.08)/g2^9 + t^7.1/(g1^3*g2^13) + (2*g1^13*t^7.17)/g2^5 + (g1*t^7.18)/g2^9 + (g1^17*t^7.25)/g2 + (2*g1^5*t^7.27)/g2^5 + (2*g1^9*t^7.35)/g2 + t^7.37/(g1^3*g2^5) + g1^13*g2^3*t^7.44 + (g1*t^7.45)/g2 + t^7.47/(g1^11*g2^5) + 2*g1^5*g2^3*t^7.54 + t^7.55/(g1^7*g2) + g1^9*g2^7*t^7.62 + (g2^3*t^7.64)/g1^3 + g1*g2^7*t^7.72 + (g2^3*t^7.74)/g1^11 + (g2^7*t^7.82)/g1^7 + (g2^3*t^7.84)/g1^19 + (g2^7*t^7.92)/g1^15 + (g2^15*t^8.09)/g1^7 + (g2^15*t^8.19)/g1^15 + (g2^15*t^8.3)/g1^23 + (g1^2*t^8.37)/g2^18 + (2*g1^12*t^8.44)/g2^12 + (g1^6*t^8.45)/g2^14 + (g1^16*t^8.53)/g2^8 + (g1^10*t^8.54)/g2^10 + (g1^20*t^8.61)/g2^4 + (g1^14*t^8.62)/g2^6 + (g1^8*t^8.63)/g2^8 + (g1^2*t^8.64)/g2^10 + t^8.65/(g1^4*g2^12) + g1^24*t^8.7 + (g1^18*t^8.71)/g2^2 + (3*g1^6*t^8.72)/g2^6 + t^8.74/(g1^6*g2^10) + t^8.75/(g1^12*g2^12) - (6*g1^4*t^8.81)/g2^4 + (2*g1^10*t^8.81)/g2^2 + (2*t^8.82)/(g1^2*g2^6) + 2*g1^14*g2^2*t^8.89 - 5*g1^8*t^8.9 + (4*g1^2*t^8.91)/g2^2 + t^8.92/(g1^10*g2^6) - (4*t^8.92)/(g1^4*g2^4) - g1^12*g2^4*t^8.98 + 2*g1^6*g2^2*t^8.99 - (g1*t^4.45)/(g2*y) - (g1^5*t^7.27)/(g2^5*y) - (g1^9*t^7.35)/(g2*y) - t^7.37/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.54)/y + t^7.55/(g1^7*g2*y) + (g2^3*t^7.64)/(g1^3*y) + (g1^8*t^8.63)/(g2^8*y) + (2*g1^12*t^8.71)/(g2^4*y) + (2*t^8.73)/(g2^8*y) + (3*g1^4*t^8.81)/(g2^4*y) + (g1^8*t^8.9)/y + (2*g1^2*t^8.91)/(g2^2*y) + t^8.92/(g1^4*g2^4*y) + (g1^6*g2^2*t^8.99)/y - (g1*t^4.45*y)/g2 - (g1^5*t^7.27*y)/g2^5 - (g1^9*t^7.35*y)/g2 - (t^7.37*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.54*y + (t^7.55*y)/(g1^7*g2) + (g2^3*t^7.64*y)/g1^3 + (g1^8*t^8.63*y)/g2^8 + (2*g1^12*t^8.71*y)/g2^4 + (2*t^8.73*y)/g2^8 + (3*g1^4*t^8.81*y)/g2^4 + g1^8*t^8.9*y + (2*g1^2*t^8.91*y)/g2^2 + (t^8.92*y)/(g1^4*g2^4) + g1^6*g2^2*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 2364 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5981 | 0.7588 | 0.7882 | [X:[], M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + t^4.71 + t^4.82 + 2*t^4.88 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 4*t^5.57 + 3*t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 835 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail |