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 |
---|---|---|---|---|---|---|---|---|---|
46942 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ | 0.6802 | 0.8389 | 0.8108 | [X:[], M:[1.0, 0.9814, 1.1152, 0.8848, 0.6914], q:[0.5669, 0.4331], qb:[0.4517, 0.7788], phi:[0.4424]] | [X:[], M:[[0], [-18], [4], [-4], [24]], q:[[11], [-11]], qb:[[7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_5$, $ M_1M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2^2$ | . | -2 | t^2.07 + 2*t^2.65 + t^2.94 + t^3. + t^3.64 + t^3.69 + t^3.98 + 2*t^4.04 + t^4.15 + t^4.33 + t^4.38 + 3*t^4.73 + t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + t^5.65 + t^5.71 + t^5.77 + t^5.89 - 2*t^6. + 2*t^6.11 + t^6.22 + t^6.29 + t^6.46 + t^6.58 + 3*t^6.64 + 3*t^6.69 + 3*t^6.8 + 2*t^6.98 + 2*t^7.04 + t^7.09 + t^7.15 + 4*t^7.38 + 2*t^7.67 + 2*t^7.73 + t^7.78 + t^7.84 + 5*t^7.96 + 2*t^8.02 + 2*t^8.19 + t^8.25 + t^8.3 + 2*t^8.36 + 2*t^8.42 + t^8.53 + t^8.54 - t^8.6 - 4*t^8.65 + t^8.71 + 5*t^8.77 + t^8.83 + 3*t^8.88 - t^8.94 - t^4.33/y - t^6.4/y - t^6.98/y - t^7.27/y + t^7.38/y + t^7.67/y + (2*t^7.73)/y + t^8.02/y + t^8.07/y + t^8.25/y + t^8.31/y - t^8.48/y + (2*t^8.6)/y + (2*t^8.65)/y + t^8.71/y + t^8.77/y + t^8.94/y - t^4.33*y - t^6.4*y - t^6.98*y - t^7.27*y + t^7.38*y + t^7.67*y + 2*t^7.73*y + t^8.02*y + t^8.07*y + t^8.25*y + t^8.31*y - t^8.48*y + 2*t^8.6*y + 2*t^8.65*y + t^8.71*y + t^8.77*y + t^8.94*y | g1^24*t^2.07 + (2*t^2.65)/g1^4 + t^2.94/g1^18 + t^3. + t^3.64/g1^10 + g1^8*t^3.69 + t^3.98/g1^6 + 2*g1^12*t^4.04 + g1^48*t^4.15 + t^4.33/g1^2 + g1^16*t^4.38 + 3*g1^20*t^4.73 + g1^6*t^5.02 + g1^24*t^5.07 + (3*t^5.31)/g1^8 + t^5.6/g1^22 + t^5.65/g1^4 + g1^14*t^5.71 + g1^32*t^5.77 + t^5.89/g1^36 - 2*t^6. + 2*g1^36*t^6.11 + g1^72*t^6.22 + t^6.29/g1^14 + g1^40*t^6.46 + t^6.58/g1^28 + (3*t^6.64)/g1^10 + 3*g1^8*t^6.69 + 3*g1^44*t^6.8 + (2*t^6.98)/g1^6 + 2*g1^12*t^7.04 + g1^30*t^7.09 + g1^48*t^7.15 + 4*g1^16*t^7.38 + 2*g1^2*t^7.67 + 2*g1^20*t^7.73 + g1^38*t^7.78 + g1^56*t^7.84 + (5*t^7.96)/g1^12 + 2*g1^6*t^8.02 + 2*g1^60*t^8.19 + t^8.25/g1^26 + g1^96*t^8.3 + 2*g1^10*t^8.36 + 2*g1^28*t^8.42 + g1^64*t^8.53 + t^8.54/g1^40 - t^8.6/g1^22 - (4*t^8.65)/g1^4 + g1^14*t^8.71 + 5*g1^32*t^8.77 + t^8.83/g1^54 + 3*g1^68*t^8.88 - t^8.94/g1^18 - t^4.33/(g1^2*y) - (g1^22*t^6.4)/y - t^6.98/(g1^6*y) - t^7.27/(g1^20*y) + (g1^16*t^7.38)/y + (g1^2*t^7.67)/y + (2*g1^20*t^7.73)/y + (g1^6*t^8.02)/y + (g1^24*t^8.07)/y + t^8.25/(g1^26*y) + t^8.31/(g1^8*y) - (g1^46*t^8.48)/y + (2*t^8.6)/(g1^22*y) + (2*t^8.65)/(g1^4*y) + (g1^14*t^8.71)/y + (g1^32*t^8.77)/y + t^8.94/(g1^18*y) - (t^4.33*y)/g1^2 - g1^22*t^6.4*y - (t^6.98*y)/g1^6 - (t^7.27*y)/g1^20 + g1^16*t^7.38*y + g1^2*t^7.67*y + 2*g1^20*t^7.73*y + g1^6*t^8.02*y + g1^24*t^8.07*y + (t^8.25*y)/g1^26 + (t^8.31*y)/g1^8 - g1^46*t^8.48*y + (2*t^8.6*y)/g1^22 + (2*t^8.65*y)/g1^4 + g1^14*t^8.71*y + g1^32*t^8.77*y + (t^8.94*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
54159 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6778 | 0.8341 | 0.8127 | [X:[], M:[1.0, 0.9375, 1.125, 0.875, 0.75], q:[0.5938, 0.4062], qb:[0.4688, 0.7812], phi:[0.4375]] | t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 4*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 44421/65536, c: 54661/65536, M1: 1, M2: 15/16, M3: 9/8, M4: 7/8, M5: 3/4, q1: 19/32, q2: 13/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
55220 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ + $ M_5^2$ | 0.6175 | 0.7633 | 0.809 | [X:[], M:[1.0, 0.75, 1.1667, 0.8333, 1.0], q:[0.7083, 0.2917], qb:[0.5417, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 4*t^5. + t^5.25 + 5*t^5.5 + t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1897/3072, c: 2345/3072, M1: 1, M2: 3/4, M3: 7/6, M4: 5/6, M5: 1, q1: 17/24, q2: 7/24, qb1: 13/24, qb2: 19/24, phi1: 5/12} |
55140 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.6976 | 0.8706 | 0.8013 | [X:[], M:[1.0, 0.9931, 1.1126, 0.8874, 0.6759, 0.7816], q:[0.5598, 0.4402], qb:[0.4471, 0.7782], phi:[0.4437]] | t^2.03 + t^2.34 + 2*t^2.66 + t^2.98 + t^3. + t^3.68 + t^3.99 + 2*t^4.01 + t^4.06 + t^4.33 + t^4.35 + t^4.37 + 4*t^4.69 + 3*t^5.01 + t^5.03 + 4*t^5.32 + t^5.34 + t^5.64 + t^5.66 + t^5.7 + t^5.96 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
55171 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6985 | 0.8713 | 0.8016 | [X:[], M:[1.0, 0.9731, 1.1171, 0.8829, 0.7026, 0.7658], q:[0.572, 0.428], qb:[0.4549, 0.7793], phi:[0.4415]] | t^2.11 + t^2.3 + 2*t^2.65 + t^2.92 + t^3. + t^3.62 + t^3.97 + 2*t^4.05 + t^4.22 + t^4.32 + 2*t^4.41 + t^4.59 + 3*t^4.76 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.22 + 4*t^5.3 + t^5.57 + t^5.65 + t^5.73 + t^5.84 + t^5.92 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
46352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ | 0.6815 | 0.8422 | 0.8091 | [X:[], M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | t^2.05 + 2*t^2.62 + t^2.88 + t^2.91 + t^3.64 + t^3.67 + t^3.9 + t^3.93 + t^4.09 + t^4.14 + t^4.4 + t^4.43 + 2*t^4.66 + t^4.9 + t^4.93 + t^4.95 + 3*t^5.24 + t^5.5 + t^5.53 + t^5.69 + t^5.71 + t^5.76 + t^5.79 + t^5.81 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail |