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 |
---|---|---|---|---|---|---|---|---|---|
55138 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_6$ | 0.6828 | 0.8512 | 0.8021 | [X:[], M:[1.1526, 1.0, 0.8474, 0.7403, 0.893, 0.8474], q:[0.3702, 0.4772], qb:[0.6298, 0.7825], phi:[0.4351]] | [X:[], M:[[-3], [0], [3], [-8], [-11], [3]], q:[[-4], [7]], qb:[[4], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1q_1^2$ | . | -2 | t^2.22 + 2*t^2.54 + t^2.61 + t^2.68 + t^3. + t^3.53 + t^3.85 + t^4.17 + t^4.24 + t^4.31 + t^4.44 + t^4.63 + 2*t^4.76 + t^4.83 + t^4.9 + 4*t^5.08 + 2*t^5.15 + 3*t^5.22 + t^5.29 + t^5.36 + t^5.54 + t^5.61 + t^5.75 - 2*t^6. + 2*t^6.07 + t^6.14 + t^6.21 - t^6.32 + 2*t^6.39 + 2*t^6.53 + t^6.66 + 2*t^6.71 + t^6.78 + 3*t^6.85 + 2*t^6.98 + 2*t^7.05 + t^7.12 + 2*t^7.17 + 3*t^7.31 + 3*t^7.37 + 3*t^7.44 + t^7.51 - t^7.56 + t^7.58 + 4*t^7.63 + 4*t^7.69 + 4*t^7.76 + 4*t^7.83 + 2*t^7.9 + 2*t^7.97 + t^8.04 + t^8.15 - 2*t^8.22 + 2*t^8.29 + t^8.34 + t^8.36 + t^8.43 - 6*t^8.54 + 2*t^8.61 - t^8.68 + 3*t^8.75 + t^8.79 + t^8.82 - 2*t^8.86 + 2*t^8.88 + 2*t^8.93 - t^4.31/y - t^6.53/y - t^6.85/y - t^6.92/y - t^6.98/y + t^7.63/y + t^7.69/y + (3*t^7.76)/y + t^7.83/y + t^7.9/y + (2*t^8.08)/y + (2*t^8.15)/y + (3*t^8.22)/y + t^8.29/y + (2*t^8.54)/y + t^8.61/y + t^8.68/y - t^4.31*y - t^6.53*y - t^6.85*y - t^6.92*y - t^6.98*y + t^7.63*y + t^7.69*y + 3*t^7.76*y + t^7.83*y + t^7.9*y + 2*t^8.08*y + 2*t^8.15*y + 3*t^8.22*y + t^8.29*y + 2*t^8.54*y + t^8.61*y + t^8.68*y | t^2.22/g1^8 + 2*g1^3*t^2.54 + t^2.61/g1^4 + t^2.68/g1^11 + t^3. + t^3.53/g1^10 + g1*t^3.85 + g1^12*t^4.17 + g1^5*t^4.24 + t^4.31/g1^2 + t^4.44/g1^16 + g1^9*t^4.63 + (2*t^4.76)/g1^5 + t^4.83/g1^12 + t^4.9/g1^19 + 4*g1^6*t^5.08 + (2*t^5.15)/g1 + (3*t^5.22)/g1^8 + t^5.29/g1^15 + t^5.36/g1^22 + g1^3*t^5.54 + t^5.61/g1^4 + t^5.75/g1^18 - 2*t^6. + (2*t^6.07)/g1^7 + t^6.14/g1^14 + t^6.21/g1^21 - g1^11*t^6.32 + 2*g1^4*t^6.39 + (2*t^6.53)/g1^10 + t^6.66/g1^24 + 2*g1^15*t^6.71 + g1^8*t^6.78 + 3*g1*t^6.85 + (2*t^6.98)/g1^13 + (2*t^7.05)/g1^20 + t^7.12/g1^27 + 2*g1^12*t^7.17 + (3*t^7.31)/g1^2 + (3*t^7.37)/g1^9 + (3*t^7.44)/g1^16 + t^7.51/g1^23 - g1^16*t^7.56 + t^7.58/g1^30 + 4*g1^9*t^7.63 + 4*g1^2*t^7.69 + (4*t^7.76)/g1^5 + (4*t^7.83)/g1^12 + (2*t^7.9)/g1^19 + (2*t^7.97)/g1^26 + t^8.04/g1^33 + t^8.15/g1 - (2*t^8.22)/g1^8 + (2*t^8.29)/g1^15 + g1^24*t^8.34 + t^8.36/g1^22 + t^8.43/g1^29 - 6*g1^3*t^8.54 + (2*t^8.61)/g1^4 - t^8.68/g1^11 + (3*t^8.75)/g1^18 + g1^21*t^8.79 + t^8.82/g1^25 - 2*g1^14*t^8.86 + (2*t^8.88)/g1^32 + 2*g1^7*t^8.93 - t^4.31/(g1^2*y) - t^6.53/(g1^10*y) - (g1*t^6.85)/y - t^6.92/(g1^6*y) - t^6.98/(g1^13*y) + (g1^9*t^7.63)/y + (g1^2*t^7.69)/y + (3*t^7.76)/(g1^5*y) + t^7.83/(g1^12*y) + t^7.9/(g1^19*y) + (2*g1^6*t^8.08)/y + (2*t^8.15)/(g1*y) + (3*t^8.22)/(g1^8*y) + t^8.29/(g1^15*y) + (2*g1^3*t^8.54)/y + t^8.61/(g1^4*y) + t^8.68/(g1^11*y) - (t^4.31*y)/g1^2 - (t^6.53*y)/g1^10 - g1*t^6.85*y - (t^6.92*y)/g1^6 - (t^6.98*y)/g1^13 + g1^9*t^7.63*y + g1^2*t^7.69*y + (3*t^7.76*y)/g1^5 + (t^7.83*y)/g1^12 + (t^7.9*y)/g1^19 + 2*g1^6*t^8.08*y + (2*t^8.15*y)/g1 + (3*t^8.22*y)/g1^8 + (t^8.29*y)/g1^15 + 2*g1^3*t^8.54*y + (t^8.61*y)/g1^4 + (t^8.68*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
56856 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_6$ + $ M_7\phi_1q_1^2$ | 0.6987 | 0.8788 | 0.795 | [X:[], M:[1.1613, 1.0, 0.8387, 0.7635, 0.9248, 0.8387, 0.7956], q:[0.3818, 0.4569], qb:[0.6182, 0.7796], phi:[0.4409]] | t^2.29 + t^2.39 + 2*t^2.52 + t^2.65 + t^2.77 + t^3. + t^3.84 + t^4.06 + t^4.19 + t^4.32 + t^4.55 + t^4.58 + t^4.68 + t^4.77 + 2*t^4.81 + 2*t^4.9 + t^4.94 + 5*t^5.03 + t^5.06 + 3*t^5.16 + 3*t^5.29 + t^5.39 + t^5.42 + t^5.52 + t^5.55 + t^5.65 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
46830 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6696 | 0.8291 | 0.8076 | [X:[], M:[1.1494, 1.0, 0.8506, 0.7316, 0.881], q:[0.3658, 0.4848], qb:[0.6342, 0.7835], phi:[0.4329]] | t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^3.85 + t^4.21 + t^4.25 + t^4.3 + t^4.39 + t^4.66 + t^4.75 + t^4.79 + t^4.84 + 2*t^5.1 + t^5.15 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.6 + t^5.64 + t^5.69 - t^6. - t^4.3/y - t^4.3*y | detail |