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 |
---|---|---|---|---|---|---|---|---|---|
51309 | 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_4^2$ + $ M_2M_5$ + $ M_1M_6$ | 0.695 | 0.8523 | 0.8155 | [X:[], M:[1.0432, 0.9784, 0.9568, 1.0, 1.0216, 0.9568], q:[0.5, 0.4568], qb:[0.5216, 0.5432], phi:[0.4946]] | [X:[], M:[[8], [-4], [-8], [0], [4], [-8]], q:[[0], [-8]], qb:[[4], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_6$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_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_6$, $ M_6^2$, $ M_2M_3$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2^2$, $ M_3M_4$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_4\phi_1^2$ | . | -2 | 2*t^2.87 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.19 + t^4.22 + t^4.35 + t^4.42 + 2*t^4.48 + t^4.55 + 2*t^4.61 + t^4.68 + t^4.74 + 2*t^5.74 + t^5.81 + 2*t^5.84 + t^5.87 + t^5.9 + 2*t^5.94 + t^5.97 - 2*t^6. + t^6.03 + t^6.16 + t^6.39 + 2*t^7.09 + t^7.16 + t^7.19 + 2*t^7.22 - t^7.26 + 2*t^7.29 + t^7.32 + 3*t^7.35 + 3*t^7.42 + t^7.45 + 3*t^7.48 - t^7.52 + 3*t^7.55 + t^7.58 + 3*t^7.61 - t^7.65 + 3*t^7.68 + t^7.74 - t^7.78 + 2*t^7.81 + t^7.87 + t^7.94 + t^8.45 + t^8.58 + 2*t^8.61 + t^8.64 + 4*t^8.71 + 2*t^8.77 + 2*t^8.81 + 4*t^8.84 - 4*t^8.87 + 4*t^8.9 - 4*t^8.94 + 2*t^8.97 - t^4.48/y - t^7.35/y - t^7.45/y + t^7.52/y + t^7.61/y + t^8.74/y + (2*t^8.81)/y + (2*t^8.84)/y + (2*t^8.87)/y + t^8.9/y + (3*t^8.94)/y + t^8.97/y - t^4.48*y - t^7.35*y - t^7.45*y + t^7.52*y + t^7.61*y + t^8.74*y + 2*t^8.81*y + 2*t^8.84*y + 2*t^8.87*y + t^8.9*y + 3*t^8.94*y + t^8.97*y | (2*t^2.87)/g1^8 + t^2.94/g1^4 + t^2.97/g1^2 + t^3. + g1^4*t^3.06 + g1^12*t^3.19 + t^4.22/g1^17 + t^4.35/g1^9 + t^4.42/g1^5 + (2*t^4.48)/g1 + g1^3*t^4.55 + 2*g1^7*t^4.61 + g1^11*t^4.68 + g1^15*t^4.74 + (2*t^5.74)/g1^16 + t^5.81/g1^12 + (2*t^5.84)/g1^10 + t^5.87/g1^8 + t^5.9/g1^6 + (2*t^5.94)/g1^4 + t^5.97/g1^2 - 2*t^6. + g1^2*t^6.03 + g1^10*t^6.16 + g1^24*t^6.39 + (2*t^7.09)/g1^25 + t^7.16/g1^21 + t^7.19/g1^19 + (2*t^7.22)/g1^17 - t^7.26/g1^15 + (2*t^7.29)/g1^13 + t^7.32/g1^11 + (3*t^7.35)/g1^9 + (3*t^7.42)/g1^5 + t^7.45/g1^3 + (3*t^7.48)/g1 - g1*t^7.52 + 3*g1^3*t^7.55 + g1^5*t^7.58 + 3*g1^7*t^7.61 - g1^9*t^7.65 + 3*g1^11*t^7.68 + g1^15*t^7.74 - g1^17*t^7.78 + 2*g1^19*t^7.81 + g1^23*t^7.87 + g1^27*t^7.94 + t^8.45/g1^34 + t^8.58/g1^26 + (2*t^8.61)/g1^24 + t^8.64/g1^22 + (4*t^8.71)/g1^18 + (2*t^8.77)/g1^14 + (2*t^8.81)/g1^12 + (4*t^8.84)/g1^10 - (4*t^8.87)/g1^8 + (4*t^8.9)/g1^6 - (4*t^8.94)/g1^4 + (2*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.35/(g1^9*y) - t^7.45/(g1^3*y) + (g1*t^7.52)/y + (g1^7*t^7.61)/y + t^8.74/(g1^16*y) + (2*t^8.81)/(g1^12*y) + (2*t^8.84)/(g1^10*y) + (2*t^8.87)/(g1^8*y) + t^8.9/(g1^6*y) + (3*t^8.94)/(g1^4*y) + t^8.97/(g1^2*y) - (t^4.48*y)/g1 - (t^7.35*y)/g1^9 - (t^7.45*y)/g1^3 + g1*t^7.52*y + g1^7*t^7.61*y + (t^8.74*y)/g1^16 + (2*t^8.81*y)/g1^12 + (2*t^8.84*y)/g1^10 + (2*t^8.87*y)/g1^8 + (t^8.9*y)/g1^6 + (3*t^8.94*y)/g1^4 + (t^8.97*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
56280 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_5M_7$ | 0.6973 | 0.8566 | 0.8141 | [X:[], M:[1.0552, 0.9724, 0.9448, 1.0, 1.0276, 0.9448, 0.9724], q:[0.5, 0.4448], qb:[0.5276, 0.5552], phi:[0.4931]] | 2*t^2.83 + 2*t^2.92 + t^2.96 + t^3. + t^3.25 + t^4.15 + t^4.31 + t^4.4 + 2*t^4.48 + t^4.56 + 2*t^4.64 + t^4.73 + t^4.81 + 2*t^5.67 + 3*t^5.75 + 2*t^5.79 + 3*t^5.83 + 2*t^5.88 + t^5.92 + t^5.96 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
56279 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.6941 | 0.8506 | 0.816 | [X:[], M:[1.0372, 0.9814, 0.9628, 1.0, 1.0186, 0.9628, 1.0093], q:[0.5, 0.4628], qb:[0.5186, 0.5372], phi:[0.4954]] | 2*t^2.89 + t^2.94 + t^3. + t^3.03 + t^3.06 + t^3.17 + t^4.26 + t^4.37 + t^4.43 + 2*t^4.49 + t^4.54 + 2*t^4.6 + t^4.65 + t^4.71 + 2*t^5.78 + t^5.83 + t^5.89 + 2*t^5.92 + t^5.94 + t^5.97 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
56275 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.5955 | 0.758 | 0.7856 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333, 0.7333], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | 2*t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 2*t^4.8 + 4*t^5. + 3*t^5.2 + 2*t^5.4 + 5*t^5.6 + 3*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1191/2000, c: 379/500, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, M6: 11/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
47016 | 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_4^2$ + $ M_2M_5$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[1.0191, 0.9904, 0.9809, 1.0, 1.0096], q:[0.5, 0.4809], qb:[0.5096, 0.5191], phi:[0.4976]] | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.38 + t^4.44 + t^4.46 + 2*t^4.49 + t^4.52 + 2*t^4.55 + t^4.58 + t^4.61 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. - t^4.49/y - t^4.49*y | detail |