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 |
---|---|---|---|---|---|---|---|---|---|
1875 | 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$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | [X:[], M:[[-8], [4], [0], [8], [-16]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_5\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.07 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.7 + t^3.92 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.61 + t^4.62 + t^4.85 + 2*t^5.07 + t^5.3 + t^5.31 + t^5.54 + t^5.55 + 2*t^5.77 + t^5.99 - t^6. + t^6.01 + 2*t^6.22 + 2*t^6.23 + 2*t^6.46 + t^6.47 + 2*t^6.68 + 3*t^6.7 + 3*t^6.92 + t^6.93 + 2*t^7.15 + 2*t^7.16 + 3*t^7.38 + t^7.39 + t^7.4 + 2*t^7.61 + 2*t^7.62 + 4*t^7.84 + t^7.85 + t^8.07 + t^8.08 + t^8.09 + 3*t^8.29 + 2*t^8.3 - t^8.31 + 2*t^8.32 + 2*t^8.53 + 2*t^8.76 + t^8.77 + 2*t^8.78 + 2*t^8.99 - t^4.38/y - t^6.46/y + t^7.61/y + t^7.85/y + t^8.07/y + t^8.3/y + (2*t^8.31)/y - t^8.53/y + (2*t^8.54)/y + t^8.76/y + (3*t^8.77)/y + t^8.99/y - t^4.38*y - t^6.46*y + t^7.61*y + t^7.85*y + t^8.07*y + t^8.3*y + 2*t^8.31*y - t^8.53*y + 2*t^8.54*y + t^8.76*y + 3*t^8.77*y + t^8.99*y | t^2.07/g1^16 + t^2.54/g1^8 + g1^22*t^2.77 + t^3. + g1^4*t^3.23 + g1^8*t^3.46 + t^3.69/g1^14 + g1^12*t^3.7 + t^3.92/g1^10 + (2*t^4.15)/g1^32 + g1^20*t^4.16 + t^4.38/g1^2 + t^4.61/g1^24 + g1^28*t^4.62 + g1^6*t^4.85 + (2*t^5.07)/g1^16 + t^5.3/g1^12 + g1^14*t^5.31 + t^5.54/g1^8 + g1^44*t^5.55 + (2*t^5.77)/g1^4 + t^5.99/g1^26 - t^6. + g1^26*t^6.01 + (2*t^6.22)/g1^48 + 2*g1^4*t^6.23 + t^6.46/g1^18 + g1^8*t^6.46 + g1^34*t^6.47 + (2*t^6.68)/g1^40 + 3*g1^12*t^6.7 + (3*t^6.92)/g1^10 + g1^42*t^6.93 + (2*t^7.15)/g1^32 + 2*g1^20*t^7.16 + (2*t^7.38)/g1^28 + t^7.38/g1^2 + g1^24*t^7.39 + g1^50*t^7.4 + (2*t^7.61)/g1^24 + g1^2*t^7.62 + g1^28*t^7.62 + t^7.84/g1^46 + (3*t^7.84)/g1^20 + g1^32*t^7.85 + (2*t^8.07)/g1^42 - t^8.07/g1^16 + g1^10*t^8.08 + g1^36*t^8.09 + (3*t^8.29)/g1^64 - t^8.3/g1^38 + (3*t^8.3)/g1^12 - g1^14*t^8.31 + g1^40*t^8.32 + g1^66*t^8.32 + (2*t^8.53)/g1^34 - (2*t^8.54)/g1^8 + 2*g1^18*t^8.54 + (2*t^8.76)/g1^56 + (4*t^8.77)/g1^4 - 3*g1^22*t^8.77 + 2*g1^48*t^8.78 + (2*t^8.99)/g1^26 - t^4.38/(g1^2*y) - t^6.46/(g1^18*y) + t^7.61/(g1^24*y) + (g1^6*t^7.85)/y + t^8.07/(g1^16*y) + t^8.3/(g1^12*y) + (2*g1^14*t^8.31)/y - t^8.53/(g1^34*y) + (2*t^8.54)/(g1^8*y) + t^8.76/(g1^30*y) + (2*t^8.77)/(g1^4*y) + (g1^22*t^8.77)/y + t^8.99/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.46*y)/g1^18 + (t^7.61*y)/g1^24 + g1^6*t^7.85*y + (t^8.07*y)/g1^16 + (t^8.3*y)/g1^12 + 2*g1^14*t^8.31*y - (t^8.53*y)/g1^34 + (2*t^8.54*y)/g1^8 + (t^8.76*y)/g1^30 + (2*t^8.77*y)/g1^4 + g1^22*t^8.77*y + (t^8.99*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 |
---|---|---|---|---|---|---|---|---|
2885 | $M_1q_1q_2$ + $ 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$ | 0.6815 | 0.8594 | 0.793 | [X:[], M:[0.8466, 1.0767, 1.0, 1.1534, 0.6932, 0.6917], q:[0.3842, 0.7692], qb:[0.4624, 0.5376], phi:[0.4617]] | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + 3*t^4.15 + 2*t^4.16 + t^4.38 + t^4.61 + 2*t^4.62 + t^4.84 + t^4.85 + 3*t^5.08 + 3*t^5.31 + t^5.53 + 2*t^5.54 + 4*t^5.77 - t^4.38/y - t^4.38*y | detail | |
2884 | $M_1q_1q_2$ + $ 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_1^2$ | 0.6792 | 0.8528 | 0.7964 | [X:[], M:[0.8412, 1.0794, 1.0, 1.1588, 0.6823, 0.7617], q:[0.389, 0.7699], qb:[0.4522, 0.5478], phi:[0.4603]] | t^2.05 + t^2.29 + t^2.52 + t^2.81 + t^3. + t^3.24 + t^3.48 + t^3.67 + t^3.9 + 2*t^4.09 + t^4.19 + t^4.33 + t^4.38 + 2*t^4.57 + t^4.67 + t^4.81 + t^4.86 + 2*t^5.05 + t^5.1 + 2*t^5.29 + t^5.33 + 2*t^5.52 + t^5.62 + 2*t^5.76 + 2*t^5.95 - t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
532 | 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$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | t^2.65 + t^2.83 + t^3. + t^3.08 + 2*t^3.09 + t^3.17 + t^4.21 + t^4.28 + t^4.36 + t^4.46 + t^4.54 + t^4.55 + t^4.63 + t^4.71 + t^4.8 + t^4.9 + t^5.31 + t^5.48 + t^5.65 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail |