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 |
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51490 | 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ | 0.6949 | 0.8521 | 0.8155 | [X:[], M:[1.0309, 0.9485, 0.9691, 1.0309, 1.0103, 0.9691], q:[0.5154, 0.4537], qb:[0.536, 0.5154], phi:[0.4949]] | [X:[], M:[[6], [-10], [-6], [6], [2], [-6]], q:[[3], [-9]], qb:[[7], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$ | $M_2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.85 + 2*t^2.91 + t^2.97 + t^3.03 + t^3.09 + t^3.15 + t^4.21 + 2*t^4.39 + t^4.45 + 3*t^4.58 + 2*t^4.64 + t^4.7 + t^5.69 + t^5.75 + 2*t^5.81 + 3*t^5.88 + 2*t^5.94 - 2*t^6. + t^6.06 + 2*t^6.12 + t^6.31 + t^7.05 + 2*t^7.11 + t^7.18 + t^7.24 + 3*t^7.3 + 3*t^7.36 + 2*t^7.42 + 3*t^7.48 + 4*t^7.55 + 3*t^7.61 + 2*t^7.67 + 2*t^7.73 + 2*t^7.79 + t^7.86 + t^8.41 + t^8.54 + 3*t^8.6 + t^8.66 + 2*t^8.72 + 6*t^8.78 + t^8.85 - 4*t^8.91 + t^8.97 - t^4.48/y - t^7.33/y + t^7.64/y + (2*t^8.75)/y + (2*t^8.81)/y + (3*t^8.88)/y + (3*t^8.94)/y - t^4.48*y - t^7.33*y + t^7.64*y + 2*t^8.75*y + 2*t^8.81*y + 3*t^8.88*y + 3*t^8.94*y | t^2.85/g1^10 + (2*t^2.91)/g1^6 + t^2.97/g1^2 + g1^2*t^3.03 + g1^6*t^3.09 + g1^10*t^3.15 + t^4.21/g1^19 + (2*t^4.39)/g1^7 + t^4.45/g1^3 + 3*g1^5*t^4.58 + 2*g1^9*t^4.64 + g1^13*t^4.7 + t^5.69/g1^20 + t^5.75/g1^16 + (2*t^5.81)/g1^12 + (3*t^5.88)/g1^8 + (2*t^5.94)/g1^4 - 2*t^6. + g1^4*t^6.06 + 2*g1^8*t^6.12 + g1^20*t^6.31 + t^7.05/g1^29 + (2*t^7.11)/g1^25 + t^7.18/g1^21 + t^7.24/g1^17 + (3*t^7.3)/g1^13 + (3*t^7.36)/g1^9 + (2*t^7.42)/g1^5 + (3*t^7.48)/g1 + 4*g1^3*t^7.55 + 3*g1^7*t^7.61 + 2*g1^11*t^7.67 + 2*g1^15*t^7.73 + 2*g1^19*t^7.79 + g1^23*t^7.86 + t^8.41/g1^38 + t^8.54/g1^30 + (3*t^8.6)/g1^26 + t^8.66/g1^22 + (2*t^8.72)/g1^18 + (6*t^8.78)/g1^14 + t^8.85/g1^10 - (4*t^8.91)/g1^6 + t^8.97/g1^2 - t^4.48/(g1*y) - t^7.33/(g1^11*y) + (g1^9*t^7.64)/y + (2*t^8.75)/(g1^16*y) + (2*t^8.81)/(g1^12*y) + (3*t^8.88)/(g1^8*y) + (3*t^8.94)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.33*y)/g1^11 + g1^9*t^7.64*y + (2*t^8.75*y)/g1^16 + (2*t^8.81*y)/g1^12 + (3*t^8.88*y)/g1^8 + (3*t^8.94*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56329 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ + $ M_1M_7$ | 0.6983 | 0.8586 | 0.8133 | [X:[], M:[1.0432, 0.928, 0.9568, 1.0432, 1.0144, 0.9568, 0.9568], q:[0.5216, 0.4352], qb:[0.5504, 0.5216], phi:[0.4928]] | t^2.78 + 3*t^2.87 + t^2.96 + t^3.04 + t^3.22 + t^4.09 + 2*t^4.35 + t^4.44 + 3*t^4.61 + 2*t^4.69 + t^4.78 + t^5.57 + 2*t^5.65 + 5*t^5.74 + 4*t^5.83 + 2*t^5.91 - 4*t^6. - t^4.48/y - t^4.48*y | detail | {a: 4364619/6250000, c: 2683247/3125000, M1: 652/625, M2: 116/125, M3: 598/625, M4: 652/625, M5: 634/625, M6: 598/625, M7: 598/625, q1: 326/625, q2: 272/625, qb1: 344/625, qb2: 326/625, phi1: 308/625} |
56326 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ + $ M_3M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[1.0181, 0.9698, 0.9819, 1.0181, 1.006, 0.9819, 1.0181], q:[0.5091, 0.4728], qb:[0.5212, 0.5091], phi:[0.497]] | t^2.91 + t^2.95 + t^2.98 + t^3.02 + 2*t^3.05 + t^3.09 + t^4.33 + 2*t^4.44 + t^4.47 + 3*t^4.55 + 2*t^4.58 + t^4.62 + t^5.82 + 2*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
56328 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ + $ M_5M_7$ | 0.6959 | 0.854 | 0.8149 | [X:[], M:[1.0351, 0.9415, 0.9649, 1.0351, 1.0117, 0.9649, 0.9883], q:[0.5175, 0.4474], qb:[0.5409, 0.5175], phi:[0.4942]] | t^2.82 + 2*t^2.89 + 2*t^2.96 + t^3.11 + t^3.18 + t^4.17 + 2*t^4.38 + t^4.45 + 3*t^4.59 + 2*t^4.66 + t^4.73 + t^5.65 + t^5.72 + 3*t^5.79 + 4*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
56327 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.694 | 0.8505 | 0.816 | [X:[], M:[1.0267, 0.9556, 0.9733, 1.0267, 1.0089, 0.9733, 1.0089], q:[0.5133, 0.46], qb:[0.5311, 0.5133], phi:[0.4956]] | t^2.87 + 2*t^2.92 + 2*t^3.03 + t^3.08 + t^3.13 + t^4.25 + 2*t^4.41 + t^4.46 + 3*t^4.57 + 2*t^4.62 + t^4.67 + t^5.73 + t^5.79 + t^5.84 + 2*t^5.89 + 3*t^5.95 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
56330 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7012 | 0.8642 | 0.8113 | [X:[], M:[1.0503, 0.9161, 0.9497, 1.0503, 1.0168, 0.9497, 0.9161], q:[0.5252, 0.4245], qb:[0.5587, 0.5252], phi:[0.4916]] | 2*t^2.75 + 2*t^2.85 + t^2.95 + t^3.05 + t^3.15 + t^4.02 + 2*t^4.32 + t^4.42 + 3*t^4.63 + 2*t^4.73 + t^4.83 + 3*t^5.5 + 3*t^5.6 + 3*t^5.7 + 4*t^5.8 + 3*t^5.9 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
46838 | 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_5\phi_1^2$ + $ M_4M_6$ | 0.6951 | 0.8535 | 0.8144 | [X:[], M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] | t^2.82 + t^2.86 + t^2.93 + t^2.98 + t^3.02 + t^3.07 + t^3.12 + t^4.21 + t^4.35 + t^4.42 + t^4.46 + t^4.49 + t^4.56 + t^4.61 + t^4.63 + t^4.67 + t^4.72 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + t^5.89 + t^5.91 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail |