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 |
|---|---|---|---|---|---|---|---|---|---|
| 5239 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22], [32]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_8^2$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6^2$, $ M_2M_8$, $ M_5M_8$, $ M_2M_6$, $ M_5M_6$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_7M_8$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_7$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_7$, $ M_5M_7$, $ M_8q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.12 + t^2.2 + 2*t^2.47 + t^2.73 + t^3. + t^3.04 + t^3.57 + t^3.84 + t^4.06 + t^4.25 + 2*t^4.33 + t^4.37 + t^4.41 + 2*t^4.59 + 2*t^4.67 + 2*t^4.86 + 4*t^4.94 + t^5.12 + t^5.16 + 3*t^5.2 + t^5.24 + 2*t^5.47 + t^5.51 + t^5.69 + t^5.73 + 2*t^5.77 - 2*t^6. + 3*t^6.04 + t^6.08 + t^6.19 + 2*t^6.31 + t^6.37 + 2*t^6.45 + 2*t^6.53 + 2*t^6.57 + 2*t^6.61 + 2*t^6.72 + 3*t^6.8 + t^6.84 + 2*t^6.88 + 2*t^6.98 + 5*t^7.06 + 4*t^7.14 + t^7.25 + t^7.29 + 4*t^7.33 + 7*t^7.41 + t^7.45 + 2*t^7.59 + t^7.63 + 5*t^7.67 + t^7.71 + t^7.82 + 2*t^7.9 + 4*t^7.94 + 3*t^7.98 - 2*t^8.12 + t^8.16 + 4*t^8.24 + t^8.28 + t^8.31 + t^8.43 - 4*t^8.47 + t^8.5 + 5*t^8.51 + t^8.55 + 2*t^8.58 + 2*t^8.66 - t^8.73 + 5*t^8.77 + 3*t^8.81 + 2*t^8.84 + 4*t^8.92 - 2*t^8.96 - t^4.37/y - t^6.49/y - t^6.57/y - t^6.84/y - t^7.1/y + (2*t^7.33)/y - t^7.41/y + (2*t^7.59)/y + t^7.63/y + (2*t^7.67)/y + t^7.86/y + t^7.9/y + (2*t^7.94)/y + t^8.12/y + (2*t^8.16)/y + (3*t^8.2)/y + (2*t^8.24)/y + (2*t^8.47)/y + (2*t^8.51)/y - t^8.62/y + t^8.73/y + t^8.77/y - t^4.37*y - t^6.49*y - t^6.57*y - t^6.84*y - t^7.1*y + 2*t^7.33*y - t^7.41*y + 2*t^7.59*y + t^7.63*y + 2*t^7.67*y + t^7.86*y + t^7.9*y + 2*t^7.94*y + t^8.12*y + 2*t^8.16*y + 3*t^8.2*y + 2*t^8.24*y + 2*t^8.47*y + 2*t^8.51*y - t^8.62*y + t^8.73*y + t^8.77*y | g1^32*t^2.12 + t^2.2/g1^12 + (2*t^2.47)/g1^8 + t^2.73/g1^4 + t^3. + t^3.04/g1^22 + t^3.57/g1^14 + t^3.84/g1^10 + g1^16*t^4.06 + g1^64*t^4.25 + 2*g1^20*t^4.33 + t^4.37/g1^2 + t^4.41/g1^24 + 2*g1^24*t^4.59 + (2*t^4.67)/g1^20 + 2*g1^28*t^4.86 + (4*t^4.94)/g1^16 + g1^32*t^5.12 + g1^10*t^5.16 + (3*t^5.2)/g1^12 + t^5.24/g1^34 + (2*t^5.47)/g1^8 + t^5.51/g1^30 + g1^18*t^5.69 + t^5.73/g1^4 + (2*t^5.77)/g1^26 - 2*t^6. + (3*t^6.04)/g1^22 + t^6.08/g1^44 + g1^48*t^6.19 + (2*t^6.31)/g1^18 + g1^96*t^6.37 + 2*g1^52*t^6.45 + 2*g1^8*t^6.53 + (2*t^6.57)/g1^14 + (2*t^6.61)/g1^36 + 2*g1^56*t^6.72 + 3*g1^12*t^6.8 + t^6.84/g1^10 + (2*t^6.88)/g1^32 + 2*g1^60*t^6.98 + 5*g1^16*t^7.06 + (4*t^7.14)/g1^28 + g1^64*t^7.25 + g1^42*t^7.29 + 4*g1^20*t^7.33 + (7*t^7.41)/g1^24 + t^7.45/g1^46 + 2*g1^24*t^7.59 + g1^2*t^7.63 + (5*t^7.67)/g1^20 + t^7.71/g1^42 + g1^50*t^7.82 + 2*g1^6*t^7.9 + (4*t^7.94)/g1^16 + (3*t^7.98)/g1^38 - 2*g1^32*t^8.12 + g1^10*t^8.16 + (4*t^8.24)/g1^34 + t^8.28/g1^56 + g1^80*t^8.31 + g1^14*t^8.43 - (4*t^8.47)/g1^8 + g1^128*t^8.5 + (5*t^8.51)/g1^30 + t^8.55/g1^52 + 2*g1^84*t^8.58 + 2*g1^40*t^8.66 - t^8.73/g1^4 + (5*t^8.77)/g1^26 + (3*t^8.81)/g1^48 + 2*g1^88*t^8.84 + 4*g1^44*t^8.92 - 2*g1^22*t^8.96 - t^4.37/(g1^2*y) - (g1^30*t^6.49)/y - t^6.57/(g1^14*y) - t^6.84/(g1^10*y) - t^7.1/(g1^6*y) + (2*g1^20*t^7.33)/y - t^7.41/(g1^24*y) + (2*g1^24*t^7.59)/y + (g1^2*t^7.63)/y + (2*t^7.67)/(g1^20*y) + (g1^28*t^7.86)/y + (g1^6*t^7.9)/y + (2*t^7.94)/(g1^16*y) + (g1^32*t^8.12)/y + (2*g1^10*t^8.16)/y + (3*t^8.2)/(g1^12*y) + (2*t^8.24)/(g1^34*y) + (2*t^8.47)/(g1^8*y) + (2*t^8.51)/(g1^30*y) - (g1^62*t^8.62)/y + t^8.73/(g1^4*y) + t^8.77/(g1^26*y) - (t^4.37*y)/g1^2 - g1^30*t^6.49*y - (t^6.57*y)/g1^14 - (t^6.84*y)/g1^10 - (t^7.1*y)/g1^6 + 2*g1^20*t^7.33*y - (t^7.41*y)/g1^24 + 2*g1^24*t^7.59*y + g1^2*t^7.63*y + (2*t^7.67*y)/g1^20 + g1^28*t^7.86*y + g1^6*t^7.9*y + (2*t^7.94*y)/g1^16 + g1^32*t^8.12*y + 2*g1^10*t^8.16*y + (3*t^8.2*y)/g1^12 + (2*t^8.24*y)/g1^34 + (2*t^8.47*y)/g1^8 + (2*t^8.51*y)/g1^30 - g1^62*t^8.62*y + (t^8.73*y)/g1^4 + (t^8.77*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6794 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ + $ M_2M_9$ | 0.6831 | 0.8597 | 0.7945 | [X:[1.348], M:[1.0, 0.826, 1.174, 0.652, 0.826, 0.739, 1.0215, 0.696, 1.174], q:[0.4238, 0.5762], qb:[0.4022, 0.7717], phi:[0.4565]] | t^2.09 + t^2.22 + t^2.48 + t^2.74 + t^3. + t^3.06 + t^3.52 + t^3.59 + t^3.85 + t^4.04 + t^4.18 + 2*t^4.3 + t^4.37 + t^4.43 + t^4.57 + t^4.7 + 2*t^4.83 + 2*t^4.96 + t^5.09 + t^5.15 + 2*t^5.22 + t^5.28 + t^5.48 + t^5.61 + t^5.67 + 2*t^5.74 + 2*t^5.8 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 6795 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1^2$ | 0.6899 | 0.872 | 0.7912 | [X:[1.3502], M:[1.0, 0.8249, 1.1751, 0.6498, 0.8249, 0.7374, 1.0185, 0.7003, 1.0875], q:[0.4217, 0.5783], qb:[0.4032, 0.7719], phi:[0.4562]] | t^2.1 + t^2.21 + 2*t^2.47 + t^3. + t^3.06 + t^3.26 + t^3.58 + t^3.84 + t^4.05 + t^4.2 + 2*t^4.31 + t^4.37 + t^4.42 + 2*t^4.58 + 2*t^4.69 + t^4.84 + 3*t^4.95 + t^5.1 + t^5.16 + t^5.21 + t^5.27 + t^5.36 + 2*t^5.47 + t^5.53 + t^5.68 + 2*t^5.74 + t^5.79 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 6796 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ + $ M_9q_1\tilde{q}_2$ | 0.7142 | 0.9141 | 0.7813 | [X:[1.3447], M:[1.0, 0.8277, 1.1723, 0.6553, 0.8277, 0.7415, 1.026, 0.6894, 0.8016], q:[0.4268, 0.5732], qb:[0.4008, 0.7715], phi:[0.4569]] | t^2.07 + t^2.22 + t^2.4 + 2*t^2.48 + t^2.74 + t^3. + t^3.08 + t^3.85 + t^4.03 + t^4.14 + 2*t^4.29 + t^4.37 + t^4.45 + t^4.47 + 2*t^4.55 + t^4.63 + 2*t^4.71 + 3*t^4.81 + 2*t^4.89 + 4*t^4.97 + t^5.07 + 2*t^5.15 + 3*t^5.22 + t^5.3 + t^5.4 + 3*t^5.48 + t^5.56 + t^5.74 + t^5.82 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.18 + 2*t^2.45 + t^2.73 + t^2.99 + t^3. + t^3.54 + 2*t^3.81 + t^4.1 + t^4.35 + t^4.36 + t^4.37 + 2*t^4.63 + 4*t^4.9 + t^4.92 + t^5.17 + 3*t^5.18 + t^5.44 + 2*t^5.45 + 2*t^5.72 + t^5.73 + 2*t^5.98 + 3*t^5.99 - 2*t^6. - t^4.36/y - t^4.36*y | detail |