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 |
---|---|---|---|---|---|---|---|---|---|
1599 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ | 0.6793 | 0.8216 | 0.8268 | [X:[], M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] | [X:[], M:[[14], [4], [-14], [-14], [6], [6], [-6]], q:[[1], [-7]], qb:[[-7], [21]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_1M_6$, $ M_2M_6$, $ M_3^2$, $ M_3M_4$, $ M_4^2$ | $M_6M_7$ | -2 | t^2.17 + 2*t^2.94 + t^3.06 + t^3.45 + t^3.83 + t^3.95 + 3*t^4.22 + 3*t^4.34 + t^4.46 + 2*t^5.11 + t^5.23 + t^5.61 + t^5.88 - 2*t^6. + 3*t^6.39 + 3*t^6.5 + t^6.62 + t^6.77 + t^6.89 + t^7.01 + 4*t^7.16 + 4*t^7.28 + 3*t^7.4 + t^7.51 + t^7.66 + 2*t^7.78 + t^7.9 + 2*t^8.05 - t^8.17 + t^8.29 + t^8.41 + 5*t^8.44 + 5*t^8.55 + 5*t^8.67 + 3*t^8.79 + t^8.82 + t^8.91 - 6*t^8.94 - t^4.28/y - t^6.45/y - t^7.22/y + t^7.34/y + (3*t^8.11)/y + t^8.23/y + t^8.88/y - t^4.28*y - t^6.45*y - t^7.22*y + t^7.34*y + 3*t^8.11*y + t^8.23*y + t^8.88*y | g1^6*t^2.17 + (2*t^2.94)/g1^14 + g1^14*t^3.06 + g1^4*t^3.45 + t^3.83/g1^6 + g1^22*t^3.95 + (3*t^4.22)/g1^16 + 3*g1^12*t^4.34 + g1^40*t^4.46 + (2*t^5.11)/g1^8 + g1^20*t^5.23 + g1^10*t^5.61 + t^5.88/g1^28 - 2*t^6. + (3*t^6.39)/g1^10 + 3*g1^18*t^6.5 + g1^46*t^6.62 + t^6.77/g1^20 + g1^8*t^6.89 + g1^36*t^7.01 + (4*t^7.16)/g1^30 + (4*t^7.28)/g1^2 + 3*g1^26*t^7.4 + g1^54*t^7.51 + t^7.66/g1^12 + 2*g1^16*t^7.78 + g1^44*t^7.9 + (2*t^8.05)/g1^22 - g1^6*t^8.17 + g1^34*t^8.29 + g1^62*t^8.41 + (5*t^8.44)/g1^32 + (5*t^8.55)/g1^4 + 5*g1^24*t^8.67 + 3*g1^52*t^8.79 + t^8.82/g1^42 + g1^80*t^8.91 - (6*t^8.94)/g1^14 - t^4.28/(g1^2*y) - (g1^4*t^6.45)/y - t^7.22/(g1^16*y) + (g1^12*t^7.34)/y + (3*t^8.11)/(g1^8*y) + (g1^20*t^8.23)/y + t^8.88/(g1^28*y) - (t^4.28*y)/g1^2 - g1^4*t^6.45*y - (t^7.22*y)/g1^16 + g1^12*t^7.34*y + (3*t^8.11*y)/g1^8 + g1^20*t^8.23*y + (t^8.88*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
3988 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_3M_8$ | 0.6784 | 0.8213 | 0.826 | [X:[], M:[0.9998, 1.1428, 1.0002, 1.0002, 0.7142, 0.7142, 1.2858, 0.9998], q:[0.7857, 0.5001], qb:[0.5001, 0.4997], phi:[0.4286]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + t^4.28 + 6*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | |
3987 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_7M_8$ | 0.6993 | 0.8591 | 0.814 | [X:[], M:[1.0171, 1.1478, 0.9829, 0.9829, 0.7216, 0.7216, 1.2784, 0.7216], q:[0.7869, 0.4914], qb:[0.4914, 0.5257], phi:[0.4261]] | 2*t^2.16 + 2*t^2.95 + t^3.05 + t^3.44 + t^3.94 + 3*t^4.23 + 5*t^4.33 + t^4.43 + 4*t^5.11 + 2*t^5.22 + 2*t^5.61 + t^5.9 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
3989 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_8q_1\tilde{q}_2$ | 0.7001 | 0.8624 | 0.8118 | [X:[], M:[1.0222, 1.1492, 0.9778, 0.9778, 0.7238, 0.7238, 1.2762, 0.6794], q:[0.7873, 0.4889], qb:[0.4889, 0.5333], phi:[0.4254]] | t^2.04 + t^2.17 + 2*t^2.93 + t^3.07 + t^3.45 + t^3.83 + t^4.08 + 4*t^4.21 + 3*t^4.34 + t^4.48 + 2*t^4.97 + 3*t^5.1 + t^5.24 + t^5.49 + t^5.62 + 2*t^5.87 - 2*t^6. - t^4.28/y - t^4.28*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1026 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ | 0.683 | 0.8286 | 0.8242 | [X:[], M:[0.9994, 1.1648, 0.9231, 1.0006, 0.7472, 0.6698, 1.2528], q:[0.7912, 0.539], qb:[0.4615, 0.5379], phi:[0.4176]] | t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 2*t^4.48 + t^4.49 + t^4.78 + 2*t^5.01 + t^5.5 + t^5.54 + t^5.77 - t^6. - t^4.25/y - t^4.25*y | detail |