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 |
|---|---|---|---|---|---|---|---|---|---|
| 50979 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4M_6$ + $ M_7\phi_1q_2^2$ | 0.6534 | 0.8169 | 0.7999 | [X:[], M:[1.1525, 0.7287, 0.8475, 0.8079, 0.8475, 1.1921, 0.7287], q:[0.404, 0.4436], qb:[0.8673, 0.7485], phi:[0.3842]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [3, 3], [6, 8], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_5$, $ \phi_1q_1^2$, $ M_6$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_7\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_7$, $ M_5M_7$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_1^2$, $ M_6M_7$, $ M_2M_6$, $ \phi_1^3q_1^2$, $ M_7\phi_1q_1q_2$, $ M_6\phi_1^2$ | $\phi_1^3q_1q_2$ | -2 | 2*t^2.19 + t^2.3 + 2*t^2.54 + 2*t^3.58 + t^3.7 + t^3.93 + 3*t^4.37 + 2*t^4.49 + t^4.61 + 4*t^4.73 + 3*t^4.85 + 3*t^5.09 + 3*t^5.76 + 2*t^5.88 - 2*t^6. + 4*t^6.12 + 2*t^6.24 + 2*t^6.48 + 4*t^6.56 + 3*t^6.68 + 2*t^6.8 + 6*t^6.91 + 4*t^7.03 + 3*t^7.15 + 4*t^7.27 + 2*t^7.39 + 4*t^7.63 + t^7.87 + 4*t^7.95 + 2*t^8.07 - 4*t^8.19 + 3*t^8.3 + 2*t^8.42 - 5*t^8.54 + 4*t^8.66 + 5*t^8.74 + 3*t^8.78 + 4*t^8.86 + 3*t^8.98 - t^4.15/y - (2*t^6.34)/y - t^6.46/y - t^6.7/y + t^7.37/y + (2*t^7.49)/y + t^7.61/y + (4*t^7.73)/y + (3*t^7.85)/y + (2*t^7.97)/y + t^8.09/y - (3*t^8.52)/y - (2*t^8.64)/y + (3*t^8.76)/y + (2*t^8.88)/y - t^4.15*y - 2*t^6.34*y - t^6.46*y - t^6.7*y + t^7.37*y + 2*t^7.49*y + t^7.61*y + 4*t^7.73*y + 3*t^7.85*y + 2*t^7.97*y + t^8.09*y - 3*t^8.52*y - 2*t^8.64*y + 3*t^8.76*y + 2*t^8.88*y | t^2.19/(g1^11*g2^13) + g1^2*g2^4*t^2.19 + t^2.3/(g1^2*g2^2) + 2*g1^3*g2^3*t^2.54 + t^3.58/(g1^7*g2^9) + g1^6*g2^8*t^3.58 + g1^2*g2^2*t^3.7 + g1^7*g2^7*t^3.93 + t^4.37/(g1^22*g2^26) + t^4.37/(g1^9*g2^9) + g1^4*g2^8*t^4.37 + t^4.49/(g1^13*g2^15) + g2^2*t^4.49 + t^4.61/(g1^4*g2^4) + (2*t^4.73)/(g1^8*g2^10) + 2*g1^5*g2^7*t^4.73 + 3*g1*g2*t^4.85 + 3*g1^6*g2^6*t^5.09 + t^5.76/(g1^18*g2^22) + t^5.76/(g1^5*g2^5) + g1^8*g2^12*t^5.76 + t^5.88/(g1^9*g2^11) + g1^4*g2^6*t^5.88 - 2*t^6. + (2*t^6.12)/(g1^4*g2^6) + 2*g1^9*g2^11*t^6.12 + 2*g1^5*g2^5*t^6.24 + 2*g1^10*g2^10*t^6.48 + t^6.56/(g1^33*g2^39) + t^6.56/(g1^20*g2^22) + t^6.56/(g1^7*g2^5) + g1^6*g2^12*t^6.56 + t^6.68/(g1^24*g2^28) + t^6.68/(g1^11*g2^11) + g1^2*g2^6*t^6.68 + t^6.8/g1^2 + t^6.8/(g1^15*g2^17) + (2*t^6.91)/(g1^19*g2^23) + (2*t^6.91)/(g1^6*g2^6) + 2*g1^7*g2^11*t^6.91 + (2*t^7.03)/(g1^10*g2^12) + 2*g1^3*g2^5*t^7.03 + t^7.15/(g1^14*g2^18) + t^7.15/(g1*g2) + g1^12*g2^16*t^7.15 + (2*t^7.27)/(g1^5*g2^7) + 2*g1^8*g2^10*t^7.27 + 2*g1^4*g2^4*t^7.39 + 4*g1^9*g2^9*t^7.63 + g1^14*g2^14*t^7.87 + t^7.95/(g1^29*g2^35) + t^7.95/(g1^16*g2^18) + t^7.95/(g1^3*g2) + g1^10*g2^16*t^7.95 + t^8.07/(g1^20*g2^24) + g1^6*g2^10*t^8.07 - (2*t^8.19)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.19 + (2*t^8.3)/(g1^15*g2^19) - t^8.3/(g1^2*g2^2) + 2*g1^11*g2^15*t^8.3 + t^8.42/(g1^6*g2^8) + g1^7*g2^9*t^8.42 - 5*g1^3*g2^3*t^8.54 + (2*t^8.66)/(g1*g2^3) + 2*g1^12*g2^14*t^8.66 + t^8.74/(g1^44*g2^52) + t^8.74/(g1^31*g2^35) + t^8.74/(g1^18*g2^18) + t^8.74/(g1^5*g2) + g1^8*g2^16*t^8.74 + 3*g1^8*g2^8*t^8.78 + t^8.86/(g1^35*g2^41) + t^8.86/(g1^22*g2^24) + t^8.86/(g1^9*g2^7) + g1^4*g2^10*t^8.86 + t^8.98/(g1^26*g2^30) + t^8.98/(g1^13*g2^13) + g2^4*t^8.98 - t^4.15/(g1*g2*y) - t^6.34/(g1^12*g2^14*y) - (g1*g2^3*t^6.34)/y - t^6.46/(g1^3*g2^3*y) - (g1^2*g2^2*t^6.7)/y + t^7.37/(g1^9*g2^9*y) + t^7.49/(g1^13*g2^15*y) + (g2^2*t^7.49)/y + t^7.61/(g1^4*g2^4*y) + (2*t^7.73)/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.73)/y + (3*g1*g2*t^7.85)/y + t^7.97/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.97)/y + (g1^6*g2^6*t^8.09)/y - t^8.52/(g1^23*g2^27*y) - t^8.52/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.52)/y - t^8.64/(g1^14*g2^16*y) - (g2*t^8.64)/(g1*y) + t^8.76/(g1^18*g2^22*y) + t^8.76/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.76)/y + t^8.88/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.88)/y - (t^4.15*y)/(g1*g2) - (t^6.34*y)/(g1^12*g2^14) - g1*g2^3*t^6.34*y - (t^6.46*y)/(g1^3*g2^3) - g1^2*g2^2*t^6.7*y + (t^7.37*y)/(g1^9*g2^9) + (t^7.49*y)/(g1^13*g2^15) + g2^2*t^7.49*y + (t^7.61*y)/(g1^4*g2^4) + (2*t^7.73*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.73*y + 3*g1*g2*t^7.85*y + (t^7.97*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.97*y + g1^6*g2^6*t^8.09*y - (t^8.52*y)/(g1^23*g2^27) - (t^8.52*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.52*y - (t^8.64*y)/(g1^14*g2^16) - (g2*t^8.64*y)/g1 + (t^8.76*y)/(g1^18*g2^22) + (t^8.76*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.76*y + (t^8.88*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56301 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4M_6$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1q_1q_2$ | 0.6717 | 0.85 | 0.7902 | [X:[], M:[1.1474, 0.7211, 0.8526, 0.8088, 0.8526, 1.1912, 0.7211, 0.7649], q:[0.4044, 0.4482], qb:[0.8745, 0.743], phi:[0.3825]] | 2*t^2.16 + 2*t^2.29 + 2*t^2.56 + 2*t^3.57 + t^3.97 + 3*t^4.33 + 4*t^4.46 + 3*t^4.59 + 4*t^4.72 + 5*t^4.85 + 3*t^5.12 + 3*t^5.74 + 2*t^5.87 - 3*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48214 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4M_6$ | 0.6342 | 0.7831 | 0.8099 | [X:[], M:[1.1646, 0.7243, 0.8354, 0.8285, 0.8354, 1.1715], q:[0.4143, 0.4211], qb:[0.8614, 0.7504], phi:[0.3882]] | t^2.17 + t^2.33 + 2*t^2.51 + t^3.51 + t^3.65 + t^3.67 + t^3.69 + t^3.85 + t^4.35 + t^4.5 + t^4.66 + 2*t^4.68 + 3*t^4.84 + 3*t^5.01 + t^5.69 + t^5.84 + t^5.86 - 2*t^6. - t^4.16/y - t^4.16*y | detail |