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 |
|---|---|---|---|---|---|---|---|---|---|
| 3384 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_7\phi_1q_1^2$ | 0.7194 | 0.8963 | 0.8026 | [X:[1.3646], M:[0.9735, 0.6884, 1.0265, 0.6354, 0.9735, 0.9084, 0.6762], q:[0.4542, 0.5723], qb:[0.5193, 0.7923], phi:[0.4155]] | [X:[[0, 1]], M:[[8, -1], [-16, 1], [-8, 1], [0, -1], [8, -1], [-14, 0], [16, 0]], q:[[-7, 0], [-1, 1]], qb:[[15, -1], [1, 0]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ \phi_1^2$, $ M_6$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_2M_7$, $ X_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_6M_7$, $ M_2M_6$, $ M_1M_7$, $ M_5M_7$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_1M_6$, $ M_5M_6$, $ M_7q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$ | . | -3 | t^2.03 + t^2.07 + t^2.49 + t^2.73 + 2*t^2.92 + t^3.74 + t^4.06 + 2*t^4.09 + t^4.13 + t^4.17 + t^4.33 + t^4.36 + 2*t^4.52 + t^4.56 + t^4.68 + t^4.75 + t^4.79 + 2*t^4.95 + 3*t^4.99 + t^5.22 + 2*t^5.41 + t^5.45 + t^5.65 + t^5.77 + 2*t^5.84 - 3*t^6. + t^6.09 + 2*t^6.12 + t^6.16 + t^6.2 + t^6.23 + 2*t^6.39 + t^6.46 + 2*t^6.55 + 2*t^6.59 + t^6.62 + 2*t^6.66 + t^6.71 + t^6.75 + t^6.78 + 2*t^6.82 + 2*t^6.86 + 2*t^6.98 + 4*t^7.01 + 3*t^7.05 + 2*t^7.09 + t^7.17 + t^7.25 + 3*t^7.28 + 2*t^7.44 + 4*t^7.48 + t^7.52 + 2*t^7.71 + t^7.8 + t^7.87 + 4*t^7.91 + t^7.94 - 4*t^8.03 - 3*t^8.07 + t^8.11 + t^8.14 + 2*t^8.15 + t^8.18 + t^8.19 + t^8.22 + t^8.26 + 2*t^8.33 + t^8.37 + 2*t^8.42 + t^8.46 - 3*t^8.49 + t^8.53 + t^8.57 + 2*t^8.58 + 2*t^8.62 + t^8.65 + 2*t^8.69 + t^8.72 - 2*t^8.73 + t^8.74 + 2*t^8.76 + 2*t^8.77 + 2*t^8.81 + t^8.85 + 4*t^8.88 - 5*t^8.92 - t^4.25/y - t^6.27/y - t^6.31/y - t^6.74/y - t^6.97/y + t^7.09/y - t^7.17/y + t^7.33/y + (2*t^7.52)/y + t^7.56/y + (2*t^7.75)/y + t^7.79/y + (2*t^7.95)/y + (2*t^7.99)/y + t^8.18/y + (2*t^8.22)/y - t^8.3/y - t^8.34/y - t^8.38/y + (2*t^8.41)/y + (2*t^8.65)/y + t^8.84/y - t^4.25*y - t^6.27*y - t^6.31*y - t^6.74*y - t^6.97*y + t^7.09*y - t^7.17*y + t^7.33*y + 2*t^7.52*y + t^7.56*y + 2*t^7.75*y + t^7.79*y + 2*t^7.95*y + 2*t^7.99*y + t^8.18*y + 2*t^8.22*y - t^8.3*y - t^8.34*y - t^8.38*y + 2*t^8.41*y + 2*t^8.65*y + t^8.84*y | g1^16*t^2.03 + (g2*t^2.07)/g1^16 + t^2.49/g1^4 + t^2.73/g1^14 + (2*g1^8*t^2.92)/g2 + t^3.74/g1^6 + g1^32*t^4.06 + 2*g2*t^4.09 + (g2^2*t^4.13)/g1^32 + (g1^6*t^4.17)/g2 + (g2*t^4.33)/g1^10 + (g1^28*t^4.36)/g2^2 + 2*g1^12*t^4.52 + (g2*t^4.56)/g1^20 + (g2^2*t^4.68)/g1^4 + g1^2*t^4.75 + (g2*t^4.79)/g1^30 + (2*g1^24*t^4.95)/g2 + (3*t^4.99)/g1^8 + t^5.22/g1^18 + (2*g1^4*t^5.41)/g2 + t^5.45/g1^28 + t^5.65/(g1^6*g2) + g1^10*t^5.77 + (2*g1^16*t^5.84)/g2^2 - 3*t^6. + g1^48*t^6.09 + 2*g1^16*g2*t^6.12 + (g2^2*t^6.16)/g1^16 + (g2^3*t^6.2)/g1^48 + t^6.23/g1^10 + (g1^44*t^6.39)/g2^2 + (g2^2*t^6.39)/g1^26 + t^6.46/g1^20 + 2*g1^28*t^6.55 + (2*g2*t^6.59)/g1^4 + (g2^2*t^6.62)/g1^36 + (2*g1^2*t^6.66)/g2 + g1^12*g2^2*t^6.71 + (g2^3*t^6.75)/g1^20 + g1^18*t^6.78 + (2*g2*t^6.82)/g1^14 + (g1^24*t^6.86)/g2^2 + (g2^2*t^6.86)/g1^46 + (2*g1^40*t^6.98)/g2 + 4*g1^8*t^7.01 + (3*g2*t^7.05)/g1^24 + (2*g1^14*t^7.09)/g2^2 + (g2^2*t^7.17)/g1^8 + t^7.25/g1^2 + (2*g1^36*t^7.28)/g2^3 + (g2*t^7.28)/g1^34 + (2*g1^20*t^7.44)/g2 + (4*t^7.48)/g1^12 + (g2*t^7.52)/g1^44 + (2*t^7.71)/g1^22 + g1^26*t^7.8 + (g1^32*t^7.87)/g2^2 + (4*t^7.91)/g2 + t^7.94/g1^32 - 4*g1^16*t^8.03 - (3*g2*t^8.07)/g1^16 + g1^64*t^8.11 + t^8.14/(g1^10*g2) + 2*g1^32*g2*t^8.15 + t^8.18/g1^42 + g2^2*t^8.19 + (g2^3*t^8.22)/g1^32 + (g2^4*t^8.26)/g1^64 + (2*g1^12*t^8.33)/g2^2 + t^8.37/(g1^20*g2) + (g1^60*t^8.42)/g2^2 + (g2^2*t^8.42)/g1^10 + (g2^3*t^8.46)/g1^42 - (3*t^8.49)/g1^4 + (g1^34*t^8.53)/g2^3 + (g1^2*t^8.57)/g2^2 + 2*g1^44*t^8.58 + 2*g1^12*g2*t^8.62 + (g2^2*t^8.65)/g1^20 + (g1^18*t^8.69)/g2 + (g2^3*t^8.69)/g1^52 + (g1^56*t^8.72)/g2^4 - (2*t^8.73)/g1^14 + g1^28*g2^2*t^8.74 + (2*g1^24*t^8.76)/g2^3 + (2*g2^3*t^8.77)/g1^4 + g1^34*t^8.81 + (g2^4*t^8.81)/g1^36 + g1^2*g2*t^8.85 + (2*g1^40*t^8.88)/g2^2 + (2*g2^2*t^8.88)/g1^30 - (6*g1^8*t^8.92)/g2 + (g2^3*t^8.92)/g1^62 - t^4.25/(g1^2*y) - (g1^14*t^6.27)/y - (g2*t^6.31)/(g1^18*y) - t^6.74/(g1^6*y) - t^6.97/(g1^16*y) + (g2*t^7.09)/y - (g1^6*t^7.17)/(g2*y) + (g2*t^7.33)/(g1^10*y) + (2*g1^12*t^7.52)/y + (g2*t^7.56)/(g1^20*y) + (2*g1^2*t^7.75)/y + (g2*t^7.79)/(g1^30*y) + (2*g1^24*t^7.95)/(g2*y) + (2*t^7.99)/(g1^8*y) + (g1^14*t^8.18)/(g2*y) + (2*t^8.22)/(g1^18*y) - (g1^30*t^8.3)/y - (g2*t^8.34)/(g1^2*y) - (g2^2*t^8.38)/(g1^34*y) + (2*g1^4*t^8.41)/(g2*y) + (2*t^8.65)/(g1^6*g2*y) + (g1^16*t^8.84)/(g2^2*y) - (t^4.25*y)/g1^2 - g1^14*t^6.27*y - (g2*t^6.31*y)/g1^18 - (t^6.74*y)/g1^6 - (t^6.97*y)/g1^16 + g2*t^7.09*y - (g1^6*t^7.17*y)/g2 + (g2*t^7.33*y)/g1^10 + 2*g1^12*t^7.52*y + (g2*t^7.56*y)/g1^20 + 2*g1^2*t^7.75*y + (g2*t^7.79*y)/g1^30 + (2*g1^24*t^7.95*y)/g2 + (2*t^7.99*y)/g1^8 + (g1^14*t^8.18*y)/g2 + (2*t^8.22*y)/g1^18 - g1^30*t^8.3*y - (g2*t^8.34*y)/g1^2 - (g2^2*t^8.38*y)/g1^34 + (2*g1^4*t^8.41*y)/g2 + (2*t^8.65*y)/(g1^6*g2) + (g1^16*t^8.84*y)/g2^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2833 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.9731, 0.6867, 1.0269, 0.6328, 0.9731, 0.9045], q:[0.4523, 0.5747], qb:[0.5208, 0.7925], phi:[0.4149]] | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. - t^4.24/y - t^4.24*y | detail |