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 |
|---|---|---|---|---|---|---|---|---|---|
| 5122 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6762 | 0.8502 | 0.7953 | [X:[1.3363], M:[0.8318, 1.0841, 1.0, 1.1682, 0.6637, 0.7102, 1.0376, 0.6727], q:[0.3971, 0.771], qb:[0.4347, 0.5653], phi:[0.458]] | [X:[[16]], M:[[-8], [4], [0], [8], [-16], [10], [-22], [32]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_1$, $ M_3$, $ M_7$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ X_1$, $ M_8^2$, $ M_6M_8$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_8$, $ M_1M_6$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_8$, $ M_3M_6$, $ M_7M_8$, $ M_6M_7$, $ M_2M_8$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_8$, $ M_4M_6$, $ M_8q_2\tilde{q}_1$, $ M_1M_2$, $ M_6q_2\tilde{q}_1$, $ M_8\phi_1q_1^2$ | . | -1 | t^2.02 + t^2.13 + t^2.5 + t^3. + t^3.11 + t^3.25 + t^3.5 + t^3.62 + t^3.76 + t^4.01 + t^4.04 + t^4.15 + 2*t^4.26 + t^4.37 + t^4.51 + t^4.63 + t^4.77 + t^4.99 + t^5.02 + 2*t^5.13 + t^5.24 + t^5.27 + t^5.38 + t^5.52 + 2*t^5.64 + 2*t^5.75 + t^5.77 - t^6. + t^6.03 + t^6.05 + t^6.11 + t^6.14 + t^6.17 + t^6.23 + t^6.25 + 2*t^6.28 + 2*t^6.39 + 2*t^6.5 + t^6.53 + t^6.62 + t^6.64 + t^6.73 + 2*t^6.76 + t^6.78 + t^6.87 + t^6.9 - t^6.98 + 2*t^7.01 + t^7.04 + t^7.12 + 2*t^7.15 + 4*t^7.26 + t^7.29 + t^7.37 + t^7.4 + 3*t^7.51 + t^7.54 + t^7.63 + 2*t^7.65 - t^7.74 + 4*t^7.77 + t^7.79 + 2*t^7.88 + t^8.02 + t^8.04 + t^8.07 - t^8.13 + t^8.16 + t^8.18 + t^8.24 + 3*t^8.27 + 2*t^8.3 + t^8.36 + t^8.38 + 2*t^8.41 - 2*t^8.5 + 4*t^8.52 + t^8.55 + 2*t^8.64 + t^8.66 + 2*t^8.75 + 3*t^8.77 + t^8.8 + t^8.89 + t^8.91 - t^4.37/y - t^6.39/y - t^6.5/y + t^7.15/y + t^7.26/y - t^7.49/y + t^7.51/y + t^7.63/y + t^8.02/y + (2*t^8.13)/y + (2*t^8.24)/y + t^8.27/y + t^8.36/y + t^8.38/y - t^8.41/y + t^8.5/y + t^8.61/y + t^8.64/y + (2*t^8.75)/y + t^8.77/y + t^8.89/y - t^4.37*y - t^6.39*y - t^6.5*y + t^7.15*y + t^7.26*y - t^7.49*y + t^7.51*y + t^7.63*y + t^8.02*y + 2*t^8.13*y + 2*t^8.24*y + t^8.27*y + t^8.36*y + t^8.38*y - t^8.41*y + t^8.5*y + t^8.61*y + t^8.64*y + 2*t^8.75*y + t^8.77*y + t^8.89*y | g1^32*t^2.02 + g1^10*t^2.13 + t^2.5/g1^8 + t^3. + t^3.11/g1^22 + g1^4*t^3.25 + g1^8*t^3.5 + t^3.62/g1^14 + g1^12*t^3.76 + g1^16*t^4.01 + g1^64*t^4.04 + g1^42*t^4.15 + 2*g1^20*t^4.26 + t^4.37/g1^2 + g1^24*t^4.51 + g1^2*t^4.63 + g1^28*t^4.77 + t^4.99/g1^16 + g1^32*t^5.02 + 2*g1^10*t^5.13 + t^5.24/g1^12 + g1^36*t^5.27 + g1^14*t^5.38 + g1^40*t^5.52 + 2*g1^18*t^5.64 + (2*t^5.75)/g1^4 + g1^44*t^5.77 - t^6. + g1^48*t^6.03 + g1^96*t^6.05 + t^6.11/g1^22 + g1^26*t^6.14 + g1^74*t^6.17 + t^6.23/g1^44 + g1^4*t^6.25 + 2*g1^52*t^6.28 + 2*g1^30*t^6.39 + 2*g1^8*t^6.5 + g1^56*t^6.53 + t^6.62/g1^14 + g1^34*t^6.64 + t^6.73/g1^36 + 2*g1^12*t^6.76 + g1^60*t^6.78 + t^6.87/g1^10 + g1^38*t^6.9 - t^6.98/g1^32 + 2*g1^16*t^7.01 + g1^64*t^7.04 + t^7.12/g1^6 + 2*g1^42*t^7.15 + 4*g1^20*t^7.26 + g1^68*t^7.29 + t^7.37/g1^2 + g1^46*t^7.4 + 3*g1^24*t^7.51 + g1^72*t^7.54 + g1^2*t^7.63 + 2*g1^50*t^7.65 - t^7.74/g1^20 + 4*g1^28*t^7.77 + g1^76*t^7.79 + 2*g1^6*t^7.88 + g1^32*t^8.02 + g1^80*t^8.04 + g1^128*t^8.07 - g1^10*t^8.13 + g1^58*t^8.16 + g1^106*t^8.18 + t^8.24/g1^12 + 3*g1^36*t^8.27 + 2*g1^84*t^8.3 + t^8.36/g1^34 + g1^14*t^8.38 + 2*g1^62*t^8.41 - (2*t^8.5)/g1^8 + 4*g1^40*t^8.52 + g1^88*t^8.55 + 2*g1^18*t^8.64 + g1^66*t^8.66 + (2*t^8.75)/g1^4 + 3*g1^44*t^8.77 + g1^92*t^8.8 + g1^22*t^8.89 + g1^70*t^8.91 - t^4.37/(g1^2*y) - (g1^30*t^6.39)/y - (g1^8*t^6.5)/y + (g1^42*t^7.15)/y + (g1^20*t^7.26)/y - t^7.49/(g1^24*y) + (g1^24*t^7.51)/y + (g1^2*t^7.63)/y + (g1^32*t^8.02)/y + (2*g1^10*t^8.13)/y + (2*t^8.24)/(g1^12*y) + (g1^36*t^8.27)/y + t^8.36/(g1^34*y) + (g1^14*t^8.38)/y - (g1^62*t^8.41)/y + t^8.5/(g1^8*y) + t^8.61/(g1^30*y) + (g1^18*t^8.64)/y + (2*t^8.75)/(g1^4*y) + (g1^44*t^8.77)/y + (g1^22*t^8.89)/y - (t^4.37*y)/g1^2 - g1^30*t^6.39*y - g1^8*t^6.5*y + g1^42*t^7.15*y + g1^20*t^7.26*y - (t^7.49*y)/g1^24 + g1^24*t^7.51*y + g1^2*t^7.63*y + g1^32*t^8.02*y + 2*g1^10*t^8.13*y + (2*t^8.24*y)/g1^12 + g1^36*t^8.27*y + (t^8.36*y)/g1^34 + g1^14*t^8.38*y - g1^62*t^8.41*y + (t^8.5*y)/g1^8 + (t^8.61*y)/g1^30 + g1^18*t^8.64*y + (2*t^8.75*y)/g1^4 + g1^44*t^8.77*y + g1^22*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 6704 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_4M_8$ | 0.6651 | 0.8307 | 0.8006 | [X:[1.4], M:[0.8, 1.1, 1.0, 1.2, 0.6, 0.75, 0.95, 0.8], q:[0.425, 0.775], qb:[0.375, 0.625], phi:[0.45]] | t^2.25 + 2*t^2.4 + t^2.85 + t^3. + t^3.3 + t^3.45 + t^3.6 + t^3.9 + t^4.2 + t^4.35 + 2*t^4.5 + 2*t^4.65 + 3*t^4.8 + 2*t^5.1 + 2*t^5.25 + t^5.4 + t^5.55 + 4*t^5.7 + 3*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 170259/256000, c: 212659/256000, X1: 7/5, M1: 4/5, M2: 11/10, M3: 1, M4: 6/5, M5: 3/5, M6: 3/4, M7: 19/20, M8: 4/5, q1: 17/40, q2: 31/40, qb1: 3/8, qb2: 5/8, phi1: 9/20} |
| 6705 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_9$ | 0.6558 | 0.8116 | 0.8081 | [X:[1.3389], M:[0.8305, 1.0847, 1.0, 1.1695, 0.6611, 0.7118, 1.034, 0.6779, 1.2882], q:[0.3983, 0.7712], qb:[0.4322, 0.5678], phi:[0.4576]] | t^2.03 + t^2.49 + t^3. + t^3.1 + t^3.25 + t^3.51 + t^3.61 + t^3.76 + t^3.86 + t^4.02 + t^4.07 + t^4.27 + t^4.37 + t^4.53 + t^4.78 + t^4.98 + t^5.03 + t^5.14 + t^5.29 + t^5.54 + t^5.64 + t^5.75 + t^5.8 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3449 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ | 0.6553 | 0.8089 | 0.8101 | [X:[1.3383], M:[0.8309, 1.0846, 1.0, 1.1691, 0.6617, 0.7114, 1.0349], q:[0.398, 0.7711], qb:[0.4329, 0.5671], phi:[0.4577]] | t^2.13 + t^2.49 + t^3. + t^3.1 + t^3.25 + t^3.51 + t^3.61 + t^3.76 + t^3.97 + t^4.01 + 2*t^4.27 + t^4.37 + t^4.63 + t^4.78 + t^4.99 + t^5.13 + t^5.24 + t^5.39 + t^5.64 + 2*t^5.75 - t^6. - t^4.37/y - t^4.37*y | detail |