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 |
---|---|---|---|---|---|---|---|---|---|
46517 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.683 | 0.8286 | 0.8242 | [X:[], M:[1.1648, 0.9994, 0.9231, 1.0006, 0.6698], q:[0.539, 0.4615], qb:[0.5379, 0.7912], phi:[0.4176]] | [X:[], M:[[0, 4], [1, -7], [0, -14], [-1, 7], [1, -15]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_2$, $ M_4$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_2M_5$, $ M_4M_5$, $ M_1M_5$, $ M_3^2$, $ M_2M_3$, $ M_5q_2\tilde{q}_2$ | $M_2^2$, $ M_4^2$, $ M_5\tilde{q}_1\tilde{q}_2$ | -1 | 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. + 2*t^6.03 - 2*t^6.23 + 2*t^6.26 + 2*t^6.49 + t^6.5 + t^6.53 + t^6.76 + 2*t^6.79 + t^6.99 + 4*t^7.02 + 2*t^7.25 + t^7.26 + 2*t^7.48 + t^7.49 + t^7.51 + t^7.52 + t^7.55 + t^7.75 + 2*t^7.78 + t^7.97 + 3*t^8.04 - t^8.24 + 3*t^8.27 + t^8.28 + t^8.31 + t^8.47 + 3*t^8.5 + 2*t^8.51 + t^8.54 + t^8.73 + t^8.74 - 2*t^8.77 + 2*t^8.8 + 2*t^8.96 + 3*t^8.97 + t^8.99 - t^4.25/y - t^6.26/y - t^7.02/y + t^7.48/y + t^7.78/y + (2*t^8.01)/y + t^8.24/y - t^8.27/y + t^8.5/y + (3*t^8.77)/y - t^4.25*y - t^6.26*y - t^7.02*y + t^7.48*y + t^7.78*y + 2*t^8.01*y + t^8.24*y - t^8.27*y + t^8.5*y + 3*t^8.77*y | (g1*t^2.01)/g2^15 + t^2.77/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + g2^4*t^3.49 + t^3.76/g2^6 + g1*g2*t^3.99 + (g1^2*t^4.02)/g2^30 + t^4.02/g2^16 + (g1*t^4.25)/g2^9 + (g2^5*t^4.25)/g1 + (g1^2*t^4.48)/g2^2 + g2^12*t^4.48 + (g2^26*t^4.49)/g1^2 + (g1*t^4.78)/g2^29 + (g1^2*t^5.01)/g2^22 + t^5.01/g2^8 + (g1*t^5.5)/g2^11 + t^5.54/g2^28 + (g1*t^5.77)/g2^21 - 2*t^6. + (g1^2*t^6.)/g2^14 + (g1^3*t^6.03)/g2^45 + (g1*t^6.03)/g2^31 - g1*g2^7*t^6.23 - (g2^21*t^6.23)/g1 + (g1^2*t^6.26)/g2^24 + t^6.26/g2^10 + (g1^3*t^6.49)/g2^17 + (g1*t^6.49)/g2^3 + (g2^11*t^6.5)/g1 + t^6.53/g2^20 + (g1*t^6.76)/g2^13 + (g1^2*t^6.79)/g2^44 + t^6.79/g2^30 + (g1^2*t^6.99)/g2^6 + (g1^3*t^7.02)/g2^37 + (2*g1*t^7.02)/g2^23 + t^7.02/(g1*g2^9) + (g1^2*t^7.25)/g2^16 + t^7.25/g2^2 + (g2^12*t^7.26)/g1^2 + (g1^3*t^7.48)/g2^9 + g1*g2^5*t^7.48 + (g2^33*t^7.49)/g1^3 + (g1^2*t^7.51)/g2^26 + t^7.52/g2^12 + (g1*t^7.55)/g2^43 + (g1*t^7.75)/g2^5 + (g1^2*t^7.78)/g2^36 + t^7.78/g2^22 + g1^2*g2^2*t^7.97 + (g1^3*t^8.01)/g2^29 - (g1*t^8.01)/g2^15 + (g1^4*t^8.04)/g2^60 + (g1^2*t^8.04)/g2^46 + t^8.04/g2^32 - g2^6*t^8.24 + (g1^3*t^8.27)/g2^39 + (2*g1*t^8.27)/g2^25 + t^8.28/(g1*g2^11) + t^8.31/g2^42 + (g1^3*t^8.47)/g2 + (g1^4*t^8.5)/g2^32 + (2*g1^2*t^8.5)/g2^18 + t^8.51/g2^4 + (g2^10*t^8.51)/g1^2 + (g1*t^8.54)/g2^35 + (g1^3*t^8.73)/g2^11 + (g2^31*t^8.74)/g1^3 + (g1^2*t^8.77)/g2^28 - (3*t^8.77)/g2^14 + (g1^3*t^8.8)/g2^59 + (g1*t^8.8)/g2^45 + (g1^4*t^8.96)/g2^4 + g1^2*g2^10*t^8.96 + g2^24*t^8.97 + (g2^38*t^8.97)/g1^2 + (g2^52*t^8.97)/g1^4 + (g1^3*t^8.99)/g2^21 - t^4.25/(g2^2*y) - (g1*t^6.26)/(g2^17*y) - t^7.02/(g2^16*y) + (g2^12*t^7.48)/y + (g1*t^7.78)/(g2^29*y) + (g1^2*t^8.01)/(g2^22*y) + t^8.01/(g2^8*y) + (g2^13*t^8.24)/(g1*y) - (g1^2*t^8.27)/(g2^32*y) + (g1*t^8.5)/(g2^11*y) + (2*g1*t^8.77)/(g2^21*y) + t^8.77/(g1*g2^7*y) - (t^4.25*y)/g2^2 - (g1*t^6.26*y)/g2^17 - (t^7.02*y)/g2^16 + g2^12*t^7.48*y + (g1*t^7.78*y)/g2^29 + (g1^2*t^8.01*y)/g2^22 + (t^8.01*y)/g2^8 + (g2^13*t^8.24*y)/g1 - (g1^2*t^8.27*y)/g2^32 + (g1*t^8.5*y)/g2^11 + (2*g1*t^8.77*y)/g2^21 + (t^8.77*y)/(g1*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|
48202 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6841 | 0.83 | 0.8243 | [X:[], M:[1.1665, 1.0256, 0.9173, 0.9744, 0.6926, 0.9744], q:[0.5158, 0.4587], qb:[0.5669, 0.7916], phi:[0.4168]] | t^2.08 + t^2.75 + 2*t^2.92 + t^3.5 + t^3.75 + t^4. + t^4.08 + t^4.16 + t^4.17 + t^4.33 + t^4.34 + t^4.5 + t^4.65 + t^4.83 + 2*t^5. + t^5.5 + t^5.58 + t^5.68 + 2*t^5.85 - 3*t^6. - t^4.25/y - t^4.25*y | detail | |
48152 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_5$ | 0.6373 | 0.7722 | 0.8253 | [X:[], M:[1.0976, 1.0366, 1.1585, 0.9634, 0.8415], q:[0.3841, 0.5793], qb:[0.4573, 0.7744], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail | |
48142 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.6793 | 0.8216 | 0.8268 | [X:[], M:[1.1485, 1.0198, 0.9802, 0.9802, 0.7228], q:[0.4901, 0.4901], qb:[0.5297, 0.7871], phi:[0.4257]] | 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. - t^4.28/y - t^4.28*y | detail | |
47174 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.7022 | 0.8636 | 0.8131 | [X:[], M:[1.1618, 0.9986, 0.9336, 1.0014, 0.6749, 0.7428], q:[0.5347, 0.4668], qb:[0.5318, 0.7905], phi:[0.4191]] | t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. - t^4.26/y - t^4.26*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 |
---|---|---|---|---|---|---|---|---|---|
46168 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ | 0.6621 | 0.7871 | 0.8412 | [X:[], M:[1.1646, 1.0, 0.9238, 1.0], q:[0.5381, 0.4619], qb:[0.5381, 0.7912], phi:[0.4177]] | t^2.77 + 2*t^3. + t^3.49 + t^3.76 + 2*t^3.99 + t^4.02 + 2*t^4.25 + 3*t^4.48 + t^5.54 - 2*t^6. - t^4.25/y - t^4.25*y | detail |