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 |
---|---|---|---|---|---|---|---|---|---|
746 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ | 0.6663 | 0.822 | 0.8106 | [X:[], M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | [X:[], M:[[0], [-3], [-11], [3], [10]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_2M_5$ | . | -1 | t^2.36 + t^2.51 + t^2.65 + t^2.8 + t^3. + t^3.49 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + t^4.73 + t^4.87 + 3*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.45 + t^5.6 + t^5.65 + t^5.85 - t^6. + t^6.06 + t^6.2 + t^6.29 + t^6.35 + t^6.4 + t^6.49 + 2*t^6.55 + 2*t^6.69 + t^6.84 + t^6.89 + t^6.98 + t^7.04 + t^7.09 + t^7.18 + t^7.24 + 3*t^7.38 + 4*t^7.53 + 3*t^7.67 + 2*t^7.73 + 2*t^7.82 + t^7.87 + 2*t^7.96 + 2*t^8.02 + t^8.07 + t^8.11 - t^8.16 + 2*t^8.22 + t^8.25 - t^8.36 + t^8.4 + t^8.42 - t^8.51 + 2*t^8.56 - t^8.65 + 2*t^8.71 + t^8.76 - 2*t^8.8 + t^8.85 + 2*t^8.91 - t^4.33/y - t^6.69/y - t^6.98/y - t^7.13/y + t^7.53/y + t^7.67/y + t^7.87/y + t^7.96/y + t^8.02/y + (2*t^8.16)/y + t^8.31/y + t^8.36/y + t^8.45/y + t^8.51/y + t^8.65/y + t^8.8/y + t^8.85/y - t^4.33*y - t^6.69*y - t^6.98*y - t^7.13*y + t^7.53*y + t^7.67*y + t^7.87*y + t^7.96*y + t^8.02*y + 2*t^8.16*y + t^8.31*y + t^8.36*y + t^8.45*y + t^8.51*y + t^8.65*y + t^8.8*y + t^8.85*y | g1^10*t^2.36 + g1^3*t^2.51 + t^2.65/g1^4 + t^2.8/g1^11 + t^3. + t^3.49/g1^3 + g1^8*t^3.69 + g1*t^3.84 + g1^12*t^4.04 + g1^5*t^4.18 + t^4.33/g1^2 + g1^9*t^4.53 + g1^20*t^4.73 + g1^13*t^4.87 + 3*g1^6*t^5.02 + (2*t^5.16)/g1 + t^5.31/g1^8 + g1^10*t^5.36 + t^5.45/g1^15 + t^5.6/g1^22 + t^5.65/g1^4 + g1^7*t^5.85 - t^6. + g1^18*t^6.06 + g1^11*t^6.2 + t^6.29/g1^14 + g1^4*t^6.35 + g1^22*t^6.4 + t^6.49/g1^3 + 2*g1^15*t^6.55 + 2*g1^8*t^6.69 + g1*t^6.84 + g1^19*t^6.89 + t^6.98/g1^6 + g1^12*t^7.04 + g1^30*t^7.09 + g1^5*t^7.18 + g1^23*t^7.24 + 3*g1^16*t^7.38 + 4*g1^9*t^7.53 + 3*g1^2*t^7.67 + 2*g1^20*t^7.73 + (2*t^7.82)/g1^5 + g1^13*t^7.87 + (2*t^7.96)/g1^12 + 2*g1^6*t^8.02 + g1^24*t^8.07 + t^8.11/g1^19 - t^8.16/g1 + 2*g1^17*t^8.22 + t^8.25/g1^26 - g1^10*t^8.36 + t^8.4/g1^33 + g1^28*t^8.42 - g1^3*t^8.51 + 2*g1^21*t^8.56 - t^8.65/g1^4 + 2*g1^14*t^8.71 + g1^32*t^8.76 - (2*t^8.8)/g1^11 + g1^7*t^8.85 + 2*g1^25*t^8.91 - t^4.33/(g1^2*y) - (g1^8*t^6.69)/y - t^6.98/(g1^6*y) - t^7.13/(g1^13*y) + (g1^9*t^7.53)/y + (g1^2*t^7.67)/y + (g1^13*t^7.87)/y + t^7.96/(g1^12*y) + (g1^6*t^8.02)/y + (2*t^8.16)/(g1*y) + t^8.31/(g1^8*y) + (g1^10*t^8.36)/y + t^8.45/(g1^15*y) + (g1^3*t^8.51)/y + t^8.65/(g1^4*y) + t^8.8/(g1^11*y) + (g1^7*t^8.85)/y - (t^4.33*y)/g1^2 - g1^8*t^6.69*y - (t^6.98*y)/g1^6 - (t^7.13*y)/g1^13 + g1^9*t^7.53*y + g1^2*t^7.67*y + g1^13*t^7.87*y + (t^7.96*y)/g1^12 + g1^6*t^8.02*y + (2*t^8.16*y)/g1 + (t^8.31*y)/g1^8 + g1^10*t^8.36*y + (t^8.45*y)/g1^15 + g1^3*t^8.51*y + (t^8.65*y)/g1^4 + (t^8.8*y)/g1^11 + g1^7*t^8.85*y |
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 |
---|---|---|---|---|---|---|---|---|
1228 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.6209 | 0.7647 | 0.812 | [X:[], M:[1.0, 1.1, 0.7, 0.9, 1.0], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19869/32000, c: 24469/32000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
1231 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6864 | 0.8594 | 0.7987 | [X:[], M:[1.0, 1.1632, 0.9317, 0.8368, 0.7894, 0.7211], q:[0.7789, 0.3843], qb:[0.6157, 0.4526], phi:[0.4421]] | t^2.16 + t^2.37 + t^2.51 + t^2.65 + t^2.8 + t^3. + t^3.49 + t^3.69 + t^4.04 + t^4.18 + 2*t^4.33 + 2*t^4.53 + t^4.67 + t^4.74 + t^4.82 + t^4.88 + t^4.96 + 3*t^5.02 + 3*t^5.16 + t^5.31 + t^5.37 + t^5.45 + t^5.59 + 2*t^5.65 + 2*t^5.86 - t^6. - t^4.33/y - t^4.33*y | detail | |
1229 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6848 | 0.8548 | 0.8012 | [X:[], M:[1.0, 1.1585, 0.9146, 0.8415, 0.8049, 0.7561], q:[0.7805, 0.378], qb:[0.622, 0.4635], phi:[0.439]] | t^2.27 + t^2.41 + t^2.52 + t^2.63 + t^2.74 + t^3. + t^3.48 + t^3.84 + t^4.1 + t^4.21 + t^4.32 + t^4.54 + t^4.57 + t^4.68 + t^4.79 + t^4.83 + t^4.9 + t^4.94 + t^5.01 + 3*t^5.05 + 2*t^5.16 + 2*t^5.27 + t^5.38 + t^5.41 + t^5.49 + t^5.63 + t^5.74 + t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
445 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ | 0.6501 | 0.7927 | 0.8201 | [X:[], M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], 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 |