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 |
|---|---|---|---|---|---|---|---|---|---|
| 47286 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [6, 2], [8, -8], [-8, 8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_3$, $ M_1$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_6$, $ M_1M_2$, $ M_6^2$, $ M_2M_4$, $ M_1M_6$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$ | . | -2 | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. + t^6.05 + t^6.07 + t^6.13 + t^6.24 + t^6.26 + t^6.31 + t^6.44 + t^6.91 + t^6.98 + t^7.06 + t^7.09 + t^7.17 + t^7.2 + t^7.24 + 2*t^7.27 + 2*t^7.35 + t^7.38 + t^7.42 + 2*t^7.45 + 2*t^7.53 + t^7.56 + t^7.6 + 2*t^7.64 + t^7.71 + t^7.74 + 2*t^7.82 + t^7.89 + t^7.93 + t^8. + t^8.02 + t^8.11 + t^8.18 + t^8.2 + t^8.38 + t^8.44 + t^8.47 + t^8.55 + t^8.57 - t^8.6 + 2*t^8.62 + t^8.65 - 3*t^8.67 + t^8.69 + t^8.73 + t^8.77 - 2*t^8.78 + 2*t^8.8 + 2*t^8.84 - 4*t^8.86 + t^8.87 + 2*t^8.91 - 4*t^8.96 + 3*t^8.98 - t^4.45/y - t^7.13/y + t^7.78/y + t^8.53/y + t^8.64/y + t^8.71/y + t^8.76/y + (2*t^8.82)/y + (2*t^8.89)/y + t^8.95/y - t^4.45*y - t^7.13*y + t^7.78*y + t^8.53*y + t^8.64*y + t^8.71*y + t^8.76*y + 2*t^8.82*y + 2*t^8.89*y + t^8.95*y | (g2^4*t^2.67)/g1^20 + (g2^8*t^2.86)/g1^8 + t^2.96/(g1^4*g2^12) + g1^4*g2^12*t^3.04 + g1^6*g2^2*t^3.09 + (g1^8*t^3.14)/g2^8 + g1^16*g2^16*t^3.22 + t^4.24/(g1^19*g2^17) + (g2^7*t^4.31)/g1^11 + (g2^31*t^4.38)/g1^3 + t^4.42/(g1^7*g2^13) + g1*g2^11*t^4.49 + (2*g1^5*t^4.6)/g2^9 + g1^13*g2^15*t^4.67 + (g1^17*t^4.78)/g2^5 + (g1^29*t^4.96)/g2 + (g2^8*t^5.35)/g1^40 + (g2^12*t^5.53)/g1^28 + (g2^16*t^5.71)/g1^16 + (g2^6*t^5.76)/g1^14 + (g2^20*t^5.89)/g1^4 + (g2^10*t^5.95)/g1^2 - 2*t^6. + (g1^2*t^6.05)/g2^10 + g1^8*g2^24*t^6.07 + g1^10*g2^14*t^6.13 + (g1^14*t^6.24)/g2^6 + g1^20*g2^28*t^6.26 + g1^22*g2^18*t^6.31 + g1^32*g2^32*t^6.44 + t^6.91/(g1^39*g2^13) + (g2^11*t^6.98)/g1^31 + (g2^35*t^7.06)/g1^23 + t^7.09/(g1^27*g2^9) + (g2^15*t^7.17)/g1^19 + t^7.2/(g1^23*g2^29) + (g2^39*t^7.24)/g1^11 + (2*t^7.27)/(g1^15*g2^5) + (2*g2^19*t^7.35)/g1^7 + t^7.38/(g1^11*g2^25) + g1*g2^43*t^7.42 + (2*t^7.45)/(g1^3*g2) + 2*g1^5*g2^23*t^7.53 + (g1*t^7.56)/g2^21 + g1^13*g2^47*t^7.6 + 2*g1^9*g2^3*t^7.64 + g1^17*g2^27*t^7.71 + (g1^13*t^7.74)/g2^17 + 2*g1^21*g2^7*t^7.82 + g1^29*g2^31*t^7.89 + (g1^25*t^7.93)/g2^13 + g1^33*g2^11*t^8. + (g2^12*t^8.02)/g1^60 + (g1^37*t^8.11)/g2^9 + g1^45*g2^15*t^8.18 + (g2^16*t^8.2)/g1^48 + (g2^20*t^8.38)/g1^36 + (g2^10*t^8.44)/g1^34 + t^8.47/(g1^38*g2^34) + t^8.55/(g1^30*g2^10) + (g2^24*t^8.57)/g1^24 - t^8.6/(g1^28*g2^20) + (2*g2^14*t^8.62)/g1^22 + t^8.65/(g1^26*g2^30) - (3*g2^4*t^8.67)/g1^20 + (g2^38*t^8.69)/g1^14 + t^8.73/(g1^18*g2^6) + (g2^62*t^8.77)/g1^6 - (2*t^8.78)/(g1^16*g2^16) + (2*g2^18*t^8.8)/g1^10 + (2*t^8.84)/(g1^14*g2^26) - (4*g2^8*t^8.86)/g1^8 + (g2^42*t^8.87)/g1^2 + (2*t^8.91)/(g1^6*g2^2) - (4*t^8.96)/(g1^4*g2^12) + 3*g1^2*g2^22*t^8.98 - t^4.45/(g1^3*g2*y) - (g2^3*t^7.13)/(g1^23*y) + (g1^17*t^7.78)/(g2^5*y) + (g2^12*t^8.53)/(g1^28*y) + t^8.64/(g1^24*g2^8*y) + (g2^16*t^8.71)/(g1^16*y) + (g2^6*t^8.76)/(g1^14*y) + (2*t^8.82)/(g1^12*g2^4*y) + (2*g2^20*t^8.89)/(g1^4*y) + (g2^10*t^8.95)/(g1^2*y) - (t^4.45*y)/(g1^3*g2) - (g2^3*t^7.13*y)/g1^23 + (g1^17*t^7.78*y)/g2^5 + (g2^12*t^8.53*y)/g1^28 + (t^8.64*y)/(g1^24*g2^8) + (g2^16*t^8.71*y)/g1^16 + (g2^6*t^8.76*y)/g1^14 + (2*t^8.82*y)/(g1^12*g2^4) + (2*g2^20*t^8.89*y)/g1^4 + (g2^10*t^8.95*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55589 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_1M_7$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[1.0361, 0.8916, 0.9639, 1.0361, 1.0361, 0.9639, 0.9639], q:[0.5181, 0.4458], qb:[0.5903, 0.5181], phi:[0.4819]] | t^2.67 + 3*t^2.89 + 2*t^3.11 + t^3.33 + t^4.12 + 2*t^4.34 + 4*t^4.55 + 2*t^4.77 + t^4.99 + t^5.35 + 2*t^5.57 + 4*t^5.78 + t^6. - t^4.45/y - t^4.45*y | detail | |
| 52728 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_2^2$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0131, 1.0, 0.9869, 1.0033, 0.9935, 1.0065], q:[0.4967, 0.4902], qb:[0.5033, 0.5164], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.44 + t^4.46 + 2*t^4.48 + t^4.5 + 2*t^4.51 + t^4.53 + t^4.55 + t^4.59 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 55616 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ M_5M_7$ | 0.705 | 0.8667 | 0.8134 | [X:[], M:[1.0012, 0.858, 0.9988, 1.0358, 1.0704, 0.9296, 0.9296], q:[0.5352, 0.4636], qb:[0.6068, 0.466], phi:[0.4821]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.22 + t^4.23 + 2*t^4.24 + t^4.44 + t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 55456 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_1$ + $ M_2X_1$ | 0.5502 | 0.6745 | 0.8157 | [X:[1.5729], M:[1.0105, 0.4271, 0.9895, 1.1459, 1.2812, 0.7188], q:[0.6406, 0.3489], qb:[0.9323, 0.3699], phi:[0.4271]] | t^2.16 + t^2.97 + t^3.03 + t^3.37 + 2*t^3.44 + t^3.5 + t^3.84 + t^3.91 + t^4.31 + t^4.72 + t^5.12 + t^5.19 + t^5.59 + t^5.66 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46410 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |