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 |
|---|---|---|---|---|---|---|---|---|---|
| 55050 | 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.6788 | 0.8484 | 0.8001 | [X:[], M:[1.1711, 1.0295, 0.8289, 0.7994, 0.7434, 1.0], q:[0.3997, 0.4292], qb:[0.5708, 0.7714], phi:[0.4572]] | [X:[], M:[[8], [-22], [-8], [14], [-12], [0]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_6$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_5$, $ M_3M_5$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_2M_5$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_1M_5$, $ M_6\phi_1^2$, $ M_2\phi_1^2$ | . | -1 | t^2.23 + t^2.4 + t^2.49 + t^2.74 + t^3. + t^3.09 + t^3.51 + t^3.86 + t^3.95 + t^4.03 + t^4.28 + t^4.37 + t^4.46 + t^4.63 + t^4.72 + 2*t^4.8 + t^4.88 + 2*t^4.97 + t^5.14 + 2*t^5.23 + t^5.32 + t^5.4 + 2*t^5.49 + 2*t^5.74 + t^5.83 - t^6. + t^6.09 + 2*t^6.18 + 2*t^6.26 + t^6.35 + t^6.43 + t^6.51 + 2*t^6.6 + t^6.68 + 2*t^6.69 + t^6.77 + t^6.86 + 2*t^6.95 + 3*t^7.03 + t^7.04 + t^7.12 + 2*t^7.19 + t^7.2 + t^7.28 + 2*t^7.37 + 3*t^7.46 + 2*t^7.54 + t^7.55 + t^7.63 + 3*t^7.72 + t^7.8 + t^7.81 + 2*t^7.88 + t^7.89 + 3*t^7.97 + t^8.06 + t^8.23 + t^8.31 + 2*t^8.32 - 2*t^8.4 + 2*t^8.41 + t^8.49 + 2*t^8.58 + t^8.66 + t^8.74 + t^8.82 + 3*t^8.83 - t^8.91 + 4*t^8.92 - t^4.37/y - t^6.6/y - t^6.77/y - t^7.12/y + t^7.28/y - t^7.46/y + (2*t^7.63)/y + t^7.72/y + t^7.88/y + (2*t^7.97)/y + (2*t^8.14)/y + (2*t^8.23)/y + t^8.32/y + t^8.4/y + (2*t^8.49)/y + t^8.58/y + (2*t^8.74)/y + t^8.91/y - t^4.37*y - t^6.6*y - t^6.77*y - t^7.12*y + t^7.28*y - t^7.46*y + 2*t^7.63*y + t^7.72*y + t^7.88*y + 2*t^7.97*y + 2*t^8.14*y + 2*t^8.23*y + t^8.32*y + t^8.4*y + 2*t^8.49*y + t^8.58*y + 2*t^8.74*y + t^8.91*y | t^2.23/g1^12 + g1^14*t^2.4 + t^2.49/g1^8 + t^2.74/g1^4 + t^3. + t^3.09/g1^22 + g1^8*t^3.51 + t^3.86/g1^10 + t^3.95/g1^32 + g1^16*t^4.03 + g1^20*t^4.28 + t^4.37/g1^2 + t^4.46/g1^24 + g1^2*t^4.63 + t^4.72/g1^20 + 2*g1^28*t^4.8 + g1^6*t^4.88 + (2*t^4.97)/g1^16 + g1^10*t^5.14 + (2*t^5.23)/g1^12 + t^5.32/g1^34 + g1^14*t^5.4 + (2*t^5.49)/g1^8 + (2*t^5.74)/g1^4 + t^5.83/g1^26 - t^6. + t^6.09/g1^22 + (2*t^6.18)/g1^44 + 2*g1^4*t^6.26 + t^6.35/g1^18 + t^6.43/g1^40 + g1^8*t^6.51 + (2*t^6.6)/g1^14 + g1^34*t^6.68 + (2*t^6.69)/g1^36 + g1^12*t^6.77 + t^6.86/g1^10 + (2*t^6.95)/g1^32 + 3*g1^16*t^7.03 + t^7.04/g1^54 + t^7.12/g1^6 + 2*g1^42*t^7.19 + t^7.2/g1^28 + g1^20*t^7.28 + (2*t^7.37)/g1^2 + (3*t^7.46)/g1^24 + 2*g1^24*t^7.54 + t^7.55/g1^46 + g1^2*t^7.63 + (3*t^7.72)/g1^20 + g1^28*t^7.8 + t^7.81/g1^42 + 2*g1^6*t^7.88 + t^7.89/g1^64 + (3*t^7.97)/g1^16 + t^8.06/g1^38 + t^8.23/g1^12 + g1^36*t^8.31 + (2*t^8.32)/g1^34 - 2*g1^14*t^8.4 + (2*t^8.41)/g1^56 + t^8.49/g1^8 + (2*t^8.58)/g1^30 + t^8.66/g1^52 + t^8.74/g1^4 + g1^44*t^8.82 + (3*t^8.83)/g1^26 - g1^22*t^8.91 + (4*t^8.92)/g1^48 - t^4.37/(g1^2*y) - t^6.6/(g1^14*y) - (g1^12*t^6.77)/y - t^7.12/(g1^6*y) + (g1^20*t^7.28)/y - t^7.46/(g1^24*y) + (2*g1^2*t^7.63)/y + t^7.72/(g1^20*y) + (g1^6*t^7.88)/y + (2*t^7.97)/(g1^16*y) + (2*g1^10*t^8.14)/y + (2*t^8.23)/(g1^12*y) + t^8.32/(g1^34*y) + (g1^14*t^8.4)/y + (2*t^8.49)/(g1^8*y) + t^8.58/(g1^30*y) + (2*t^8.74)/(g1^4*y) + (g1^22*t^8.91)/y - (t^4.37*y)/g1^2 - (t^6.6*y)/g1^14 - g1^12*t^6.77*y - (t^7.12*y)/g1^6 + g1^20*t^7.28*y - (t^7.46*y)/g1^24 + 2*g1^2*t^7.63*y + (t^7.72*y)/g1^20 + g1^6*t^7.88*y + (2*t^7.97*y)/g1^16 + 2*g1^10*t^8.14*y + (2*t^8.23*y)/g1^12 + (t^8.32*y)/g1^34 + g1^14*t^8.4*y + (2*t^8.49*y)/g1^8 + (t^8.58*y)/g1^30 + (2*t^8.74*y)/g1^4 + g1^22*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 56645 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_2M_5$ | 0.6578 | 0.8232 | 0.799 | [X:[], M:[1.1176, 1.1765, 0.8824, 0.7059, 0.8235, 1.0], q:[0.3529, 0.5294], qb:[0.4706, 0.7647], phi:[0.4706]] | t^2.12 + t^2.47 + t^2.65 + t^2.82 + t^3. + t^3.35 + t^3.53 + t^3.71 + t^3.88 + t^4.06 + 2*t^4.24 + t^4.41 + 2*t^4.59 + t^4.76 + 2*t^4.94 + 2*t^5.12 + 2*t^5.29 + 2*t^5.47 + 2*t^5.65 + 2*t^5.82 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 51705/78608, c: 32355/39304, M1: 19/17, M2: 20/17, M3: 15/17, M4: 12/17, M5: 14/17, M6: 1, q1: 6/17, q2: 9/17, qb1: 8/17, qb2: 13/17, phi1: 8/17} |
| 56650 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7\phi_1q_1q_2$ | 0.699 | 0.8865 | 0.7885 | [X:[], M:[1.1692, 1.0348, 0.8308, 0.796, 0.7463, 1.0, 0.7114], q:[0.398, 0.4328], qb:[0.5672, 0.7711], phi:[0.4577]] | t^2.13 + t^2.24 + t^2.39 + t^2.49 + t^2.75 + t^3. + t^3.1 + t^3.51 + t^3.97 + t^4.01 + 2*t^4.27 + 2*t^4.37 + t^4.48 + t^4.52 + 2*t^4.63 + t^4.73 + 2*t^4.78 + 2*t^4.88 + 2*t^4.99 + 2*t^5.13 + 3*t^5.24 + t^5.34 + t^5.39 + 2*t^5.49 + t^5.64 + 2*t^5.75 + t^5.85 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 56651 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7\phi_1q_2^2$ | 0.6995 | 0.8892 | 0.7867 | [X:[], M:[1.1695, 1.034, 0.8305, 0.7966, 0.7458, 1.0, 0.6778], q:[0.3983, 0.4323], qb:[0.5677, 0.7712], phi:[0.4576]] | t^2.03 + t^2.24 + t^2.39 + t^2.49 + t^2.75 + t^3. + t^3.1 + t^3.51 + t^3.86 + t^4.02 + t^4.07 + 2*t^4.27 + t^4.37 + t^4.42 + t^4.47 + t^4.53 + t^4.63 + t^4.73 + 3*t^4.78 + t^4.88 + 2*t^4.98 + t^5.03 + 2*t^5.14 + 2*t^5.24 + t^5.34 + t^5.39 + 2*t^5.49 + t^5.54 + 2*t^5.75 + t^5.85 + t^5.9 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46799 | 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}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6851 | 0.8556 | 0.8007 | [X:[], M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.28 + t^2.41 + t^2.51 + t^2.61 + t^2.71 + t^2.94 + t^3.49 + t^3.82 + t^4.04 + t^4.27 + t^4.37 + t^4.57 + t^4.6 + t^4.69 + t^4.79 + t^4.82 + t^4.89 + t^4.92 + t^4.99 + 2*t^5.02 + 2*t^5.12 + t^5.15 + 2*t^5.22 + t^5.32 + t^5.35 + t^5.42 + t^5.55 + t^5.65 + t^5.87 + t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail |