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 |
---|---|---|---|---|---|---|---|---|---|
47057 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ | 0.6636 | 0.816 | 0.8132 | [X:[], M:[0.9114, 1.0, 1.1577, 0.8423, 0.8423], q:[0.6231, 0.4655], qb:[0.3769, 0.7808], phi:[0.4384]] | [X:[], M:[[-11], [0], [-3], [3], [3]], q:[[4], [7]], qb:[[-4], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_2M_4$, $ M_2M_5$, $ M_2\phi_1^2$ | . | -2 | 2*t^2.53 + t^2.63 + t^2.73 + t^3. + t^3.58 + t^3.74 + t^3.84 + t^4.11 + t^4.21 + t^4.32 + t^4.58 + 4*t^5.05 + 2*t^5.16 + 2*t^5.26 + t^5.36 + t^5.47 + t^5.53 + t^5.63 - 2*t^6. + t^6.1 + t^6.21 + t^6.27 + t^6.31 + 2*t^6.37 + t^6.58 + 2*t^6.64 + 2*t^6.74 + 2*t^6.84 + 2*t^7.11 + t^7.15 + t^7.42 + 5*t^7.58 + 4*t^7.68 + 3*t^7.79 + t^7.85 + 3*t^7.89 + t^7.95 + 2*t^8. + t^8.05 + t^8.1 + t^8.16 + t^8.2 + t^8.22 + t^8.32 - 5*t^8.53 + t^8.69 - t^8.73 + 2*t^8.79 + t^8.84 + 2*t^8.9 + t^8.94 - t^4.32/y - t^6.84/y - t^6.95/y - t^7.05/y + t^7.58/y + t^7.68/y + t^7.79/y + t^8.05/y + (2*t^8.16)/y + (2*t^8.26)/y + t^8.36/y + (2*t^8.53)/y + t^8.63/y + t^8.73/y - t^4.32*y - t^6.84*y - t^6.95*y - t^7.05*y + t^7.58*y + t^7.68*y + t^7.79*y + t^8.05*y + 2*t^8.16*y + 2*t^8.26*y + t^8.36*y + 2*t^8.53*y + t^8.63*y + t^8.73*y | 2*g1^3*t^2.53 + t^2.63/g1^4 + t^2.73/g1^11 + t^3. + t^3.58/g1^10 + g1^8*t^3.74 + g1*t^3.84 + g1^12*t^4.11 + g1^5*t^4.21 + t^4.32/g1^2 + g1^9*t^4.58 + 4*g1^6*t^5.05 + (2*t^5.16)/g1 + (2*t^5.26)/g1^8 + t^5.36/g1^15 + t^5.47/g1^22 + g1^3*t^5.53 + t^5.63/g1^4 - 2*t^6. + t^6.1/g1^7 + t^6.21/g1^14 + g1^11*t^6.27 + t^6.31/g1^21 + 2*g1^4*t^6.37 + t^6.58/g1^10 + 2*g1^15*t^6.64 + 2*g1^8*t^6.74 + 2*g1*t^6.84 + 2*g1^12*t^7.11 + t^7.15/g1^20 + t^7.42/g1^9 + 5*g1^9*t^7.58 + 4*g1^2*t^7.68 + (3*t^7.79)/g1^5 + g1^20*t^7.85 + (3*t^7.89)/g1^12 + g1^13*t^7.95 + (2*t^8.)/g1^19 + g1^6*t^8.05 + t^8.1/g1^26 + t^8.16/g1 + t^8.2/g1^33 + g1^24*t^8.22 + g1^17*t^8.32 - 5*g1^3*t^8.53 + g1^21*t^8.69 - t^8.73/g1^11 + 2*g1^14*t^8.79 + t^8.84/g1^18 + 2*g1^7*t^8.9 + t^8.94/g1^25 - t^4.32/(g1^2*y) - (g1*t^6.84)/y - t^6.95/(g1^6*y) - t^7.05/(g1^13*y) + (g1^9*t^7.58)/y + (g1^2*t^7.68)/y + t^7.79/(g1^5*y) + (g1^6*t^8.05)/y + (2*t^8.16)/(g1*y) + (2*t^8.26)/(g1^8*y) + t^8.36/(g1^15*y) + (2*g1^3*t^8.53)/y + t^8.63/(g1^4*y) + t^8.73/(g1^11*y) - (t^4.32*y)/g1^2 - g1*t^6.84*y - (t^6.95*y)/g1^6 - (t^7.05*y)/g1^13 + g1^9*t^7.58*y + g1^2*t^7.68*y + (t^7.79*y)/g1^5 + g1^6*t^8.05*y + (2*t^8.16*y)/g1 + (2*t^8.26*y)/g1^8 + (t^8.36*y)/g1^15 + 2*g1^3*t^8.53*y + (t^8.63*y)/g1^4 + (t^8.73*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
55318 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6837 | 0.8536 | 0.8009 | [X:[], M:[0.9097, 1.0, 1.1572, 0.8428, 0.8428, 0.7191], q:[0.6237, 0.4666], qb:[0.3763, 0.7809], phi:[0.4381]] | t^2.16 + 2*t^2.53 + t^2.63 + t^2.73 + t^3. + t^3.57 + t^3.74 + t^4.11 + t^4.21 + 2*t^4.31 + t^4.59 + 2*t^4.69 + t^4.79 + t^4.89 + 4*t^5.06 + 3*t^5.16 + 2*t^5.26 + t^5.36 + t^5.46 + t^5.53 + t^5.63 + t^5.73 + t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
55310 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6806 | 0.8472 | 0.8033 | [X:[], M:[0.9444, 1.0, 1.1667, 0.8333, 0.8333, 0.7778], q:[0.6111, 0.4444], qb:[0.3889, 0.7778], phi:[0.4444]] | t^2.33 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + 2*t^4.83 + 5*t^5. + 3*t^5.17 + 3*t^5.33 + 2*t^5.5 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 49/72, c: 61/72, M1: 17/18, M2: 1, M3: 7/6, M4: 5/6, M5: 5/6, M6: 7/9, q1: 11/18, q2: 4/9, qb1: 7/18, qb2: 7/9, phi1: 4/9} |
55299 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ M_6\phi_1^2$ | 0.6529 | 0.7983 | 0.8178 | [X:[], M:[0.9323, 1.0, 1.1633, 0.8367, 0.8367, 1.1155], q:[0.6155, 0.4522], qb:[0.3845, 0.7789], phi:[0.4422]] | 2*t^2.51 + t^2.8 + t^3. + t^3.35 + t^3.63 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + 4*t^5.02 + t^5.31 + t^5.51 + t^5.59 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
46778 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ | 0.6501 | 0.7927 | 0.8201 | [X:[], M:[0.8975, 1.0, 1.1539, 0.8461], q:[0.6282, 0.4743], qb:[0.3718, 0.782], phi:[0.4359]] | t^2.54 + t^2.62 + t^2.69 + t^3. + t^3.46 + t^3.54 + t^3.77 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.62 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.31 + t^5.39 + t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail |