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 |
---|---|---|---|---|---|---|---|---|---|
1326 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_1M_7$ | 0.6962 | 0.8534 | 0.8158 | [X:[], M:[1.0383, 1.0151, 0.9316, 0.9699, 1.0, 1.0301, 0.9617], q:[0.511, 0.4507], qb:[0.5191, 0.5493], phi:[0.4925]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [4, -4], [0, 0], [-4, 4], [-8, 0]], q:[[-8, 4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_7$, $ M_4$, $ M_5$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_3M_5$, $ M_4M_7$, $ M_2M_3$, $ M_3M_6$, $ M_5M_7$, $ M_2M_7$, $ M_2M_4$, $ M_6M_7$ | . | -2 | t^2.79 + t^2.89 + t^2.91 + t^3. + t^3.05 + t^3.09 + t^3.18 + t^4.18 + t^4.36 + t^4.39 + t^4.48 + t^4.54 + t^4.57 + t^4.59 + t^4.66 + t^4.68 + t^4.77 + t^5.59 + t^5.68 + t^5.77 + t^5.79 + t^5.84 + t^5.89 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^6.02 + t^6.05 + t^6.07 + t^6.09 - t^6.11 + t^6.14 + t^6.18 - t^6.21 + t^6.23 + t^6.27 - t^6.3 + t^6.36 + t^6.98 + t^7.07 + t^7.09 + t^7.16 + t^7.18 + t^7.25 + 2*t^7.27 + t^7.34 + 2*t^7.36 + t^7.39 + t^7.43 + 2*t^7.45 + t^7.48 + 2*t^7.54 + 2*t^7.57 + t^7.63 + 2*t^7.66 + t^7.68 + t^7.72 + t^7.75 + t^7.77 + t^7.84 + t^7.86 + t^7.95 + t^8.36 + t^8.38 + t^8.47 + t^8.54 + 2*t^8.57 - t^8.61 + t^8.63 + 2*t^8.66 + t^8.68 - t^8.7 + 2*t^8.73 + t^8.75 + 2*t^8.77 - 3*t^8.79 + 2*t^8.84 + 2*t^8.86 - 3*t^8.89 - 3*t^8.91 + 2*t^8.93 + 3*t^8.95 + t^8.98 - t^4.48/y - t^7.27/y + t^7.68/y + t^8.68/y + t^8.7/y + (2*t^8.79)/y + t^8.84/y + (2*t^8.89)/y + t^8.91/y + t^8.93/y + t^8.95/y + (2*t^8.98)/y - t^4.48*y - t^7.27*y + t^7.68*y + t^8.68*y + t^8.7*y + 2*t^8.79*y + t^8.84*y + 2*t^8.89*y + t^8.91*y + t^8.93*y + t^8.95*y + 2*t^8.98*y | t^2.79/(g1^4*g2^4) + t^2.89/g1^8 + (g1^4*t^2.91)/g2^4 + t^3. + (g2^2*t^3.05)/g1^2 + (g2^4*t^3.09)/g1^4 + (g2^8*t^3.18)/g1^8 + (g1*t^4.18)/g2^9 + t^4.36/(g1^7*g2) + (g1^5*t^4.39)/g2^5 + (g1*t^4.48)/g2 + (g2^7*t^4.54)/g1^15 + (g2^3*t^4.57)/g1^3 + (g1^9*t^4.59)/g2 + (g2^7*t^4.66)/g1^7 + g1^5*g2^3*t^4.68 + g1*g2^7*t^4.77 + t^5.59/(g1^8*g2^8) + t^5.68/(g1^12*g2^4) + t^5.77/g1^16 + t^5.79/(g1^4*g2^4) + t^5.84/(g1^6*g2^2) + t^5.89/g1^8 + (g2^2*t^5.93)/g1^10 + (g1^2*t^5.95)/g2^2 + (g2^4*t^5.98)/g1^12 - 2*t^6. - (g1^12*t^6.02)/g2^4 + (g2^2*t^6.05)/g1^2 + (g2^8*t^6.07)/g1^16 + (g2^4*t^6.09)/g1^4 - g1^8*t^6.11 + (g2^6*t^6.14)/g1^6 + (g2^8*t^6.18)/g1^8 - g1^4*g2^4*t^6.21 + (g2^10*t^6.23)/g1^10 + (g2^12*t^6.27)/g1^12 - g2^8*t^6.3 + (g2^16*t^6.36)/g1^16 + t^6.98/(g1^3*g2^13) + t^7.07/(g1^7*g2^9) + (g1^5*t^7.09)/g2^13 + t^7.16/(g1^11*g2^5) + (g1*t^7.18)/g2^9 + t^7.25/(g1^15*g2) + (2*t^7.27)/(g1^3*g2^5) + (g2^3*t^7.34)/g1^19 + (2*t^7.36)/(g1^7*g2) + (g1^5*t^7.39)/g2^5 + (g2^7*t^7.43)/g1^23 + (2*g2^3*t^7.45)/g1^11 + (g1*t^7.48)/g2 + (2*g2^7*t^7.54)/g1^15 + (2*g2^3*t^7.57)/g1^3 + (g2^11*t^7.63)/g1^19 + (2*g2^7*t^7.66)/g1^7 + g1^5*g2^3*t^7.68 + (g2^15*t^7.72)/g1^23 + (g2^11*t^7.75)/g1^11 + g1*g2^7*t^7.77 + (g2^15*t^7.84)/g1^15 + (g2^11*t^7.86)/g1^3 + (g2^15*t^7.95)/g1^7 + (g1^2*t^8.36)/g2^18 + t^8.38/(g1^12*g2^12) + t^8.47/(g1^16*g2^8) + t^8.54/(g1^6*g2^10) + (g1^6*t^8.57)/g2^14 + t^8.57/(g1^20*g2^4) - (g1^4*t^8.61)/g2^12 + t^8.63/(g1^10*g2^6) + t^8.66/g1^24 + (g1^2*t^8.66)/g2^10 + t^8.68/(g1^12*g2^4) - t^8.7/g2^8 + (2*t^8.73)/(g1^14*g2^2) + t^8.75/(g1^2*g2^6) + t^8.77/g1^16 + (g1^10*t^8.77)/g2^10 - (3*t^8.79)/(g1^4*g2^4) - (g1^8*t^8.82)/g2^8 + (g2^2*t^8.82)/g1^18 + (2*t^8.84)/(g1^6*g2^2) + (g1^6*t^8.86)/g2^6 + (g2^4*t^8.86)/g1^20 - (3*t^8.89)/g1^8 - (4*g1^4*t^8.91)/g2^4 + (g2^6*t^8.91)/g1^22 + (2*g2^2*t^8.93)/g1^10 + (2*g1^2*t^8.95)/g2^2 + (g2^8*t^8.95)/g1^24 + (g1^14*t^8.98)/g2^6 - (g1*t^4.48)/(g2*y) - t^7.27/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.68)/y + t^8.68/(g1^12*g2^4*y) + t^8.7/(g2^8*y) + (2*t^8.79)/(g1^4*g2^4*y) + t^8.84/(g1^6*g2^2*y) + (2*t^8.89)/(g1^8*y) + (g1^4*t^8.91)/(g2^4*y) + (g2^2*t^8.93)/(g1^10*y) + (g1^2*t^8.95)/(g2^2*y) + (2*g2^4*t^8.98)/(g1^12*y) - (g1*t^4.48*y)/g2 - (t^7.27*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.68*y + (t^8.68*y)/(g1^12*g2^4) + (t^8.7*y)/g2^8 + (2*t^8.79*y)/(g1^4*g2^4) + (t^8.84*y)/(g1^6*g2^2) + (2*t^8.89*y)/g1^8 + (g1^4*t^8.91*y)/g2^4 + (g2^2*t^8.93*y)/g1^10 + (g1^2*t^8.95*y)/g2^2 + (2*g2^4*t^8.98*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
2361 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_1M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5627 | 0.6956 | 0.8089 | [X:[], M:[0.8411, 1.1429, 0.8731, 0.7143, 1.0, 1.2857, 1.1589], q:[0.8651, 0.2937], qb:[0.4206, 0.7063], phi:[0.4286]] | t^2.14 + t^2.62 + t^3. + t^3.05 + 2*t^3.43 + t^3.48 + t^3.81 + t^3.86 + t^4.29 + t^4.71 + t^4.76 + t^5.14 + t^5.19 + t^5.24 + t^5.57 + t^5.62 + t^5.67 - t^6. - t^4.29/y - t^4.29*y | detail | |
2363 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_3X_1$ | 0.571 | 0.7105 | 0.8037 | [X:[1.385], M:[1.2316, 1.0767, 0.615, 0.8466, 1.0, 1.1534, 0.7684], q:[0.5376, 0.2308], qb:[0.6158, 0.7692], phi:[0.4617]] | t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 2*t^3.92 + t^4.15 + 2*t^4.61 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 3*t^5.54 + t^5.77 - 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 |
---|---|---|---|---|---|---|---|---|---|
835 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail |