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 |
---|---|---|---|---|---|---|---|---|---|
55124 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ | 0.6685 | 0.8456 | 0.7906 | [X:[], M:[1.1669, 0.7228, 0.8331, 0.8331, 0.7228, 0.8331], q:[0.4165, 0.4165], qb:[0.8607, 0.7504], phi:[0.389]] | [X:[], M:[[6], [14], [-6], [-6], [14], [-6]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ M_5\phi_1q_1q_2$, $ M_2\phi_1q_2^2$, $ M_5\phi_1q_2^2$ | $\phi_1^3q_1q_2$, $ \phi_1^3q_2^2$ | -2 | 2*t^2.17 + t^2.33 + 3*t^2.5 + 3*t^3.67 + 3*t^4.34 + 2*t^4.5 + 7*t^4.67 + 4*t^4.83 + 6*t^5. + 4*t^5.83 - 2*t^6. + 7*t^6.17 + 4*t^6.51 + 3*t^6.67 + 11*t^6.84 + 7*t^7. + 10*t^7.17 + 8*t^7.33 + 8*t^7.5 + 5*t^8. - 6*t^8.17 + 5*t^8.33 - 9*t^8.5 + 10*t^8.66 + 5*t^8.67 + 4*t^8.84 - t^4.17/y - (2*t^6.34)/y - t^6.5/y - (2*t^6.67)/y + t^7.34/y + (2*t^7.5)/y + (8*t^7.67)/y + (4*t^7.83)/y + (5*t^8.)/y - (3*t^8.5)/y - (2*t^8.67)/y + t^8.83/y - t^4.17*y - 2*t^6.34*y - t^6.5*y - 2*t^6.67*y + t^7.34*y + 2*t^7.5*y + 8*t^7.67*y + 4*t^7.83*y + 5*t^8.*y - 3*t^8.5*y - 2*t^8.67*y + t^8.83*y | 2*g1^14*t^2.17 + g1^4*t^2.33 + (3*t^2.5)/g1^6 + (3*t^3.67)/g1^4 + 3*g1^28*t^4.34 + 2*g1^18*t^4.5 + 7*g1^8*t^4.67 + (4*t^4.83)/g1^2 + (6*t^5.)/g1^12 + 4*g1^10*t^5.83 - 2*t^6. + (7*t^6.17)/g1^10 + 4*g1^42*t^6.51 + 3*g1^32*t^6.67 + 11*g1^22*t^6.84 + 7*g1^12*t^7. + 10*g1^2*t^7.17 + (8*t^7.33)/g1^8 + (8*t^7.5)/g1^18 + 5*g1^24*t^8. - 6*g1^14*t^8.17 + 5*g1^4*t^8.33 - (9*t^8.5)/g1^6 + (10*t^8.66)/g1^16 + 5*g1^56*t^8.67 + 4*g1^46*t^8.84 - (g1^2*t^4.17)/y - (2*g1^16*t^6.34)/y - (g1^6*t^6.5)/y - (2*t^6.67)/(g1^4*y) + (g1^28*t^7.34)/y + (2*g1^18*t^7.5)/y + (8*g1^8*t^7.67)/y + (4*t^7.83)/(g1^2*y) + (5*t^8.)/(g1^12*y) - (3*g1^30*t^8.5)/y - (2*g1^20*t^8.67)/y + (g1^10*t^8.83)/y - g1^2*t^4.17*y - 2*g1^16*t^6.34*y - g1^6*t^6.5*y - (2*t^6.67*y)/g1^4 + g1^28*t^7.34*y + 2*g1^18*t^7.5*y + 8*g1^8*t^7.67*y + (4*t^7.83*y)/g1^2 + (5*t^8.*y)/g1^12 - 3*g1^30*t^8.5*y - 2*g1^20*t^8.67*y + g1^10*t^8.83*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47029 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6544 | 0.8219 | 0.7962 | [X:[], M:[1.1601, 0.7069, 0.8399, 0.8399, 0.7069], q:[0.42, 0.42], qb:[0.8732, 0.7401], phi:[0.3867]] | 2*t^2.12 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.24 + 2*t^4.44 + 5*t^4.64 + 3*t^4.84 + 3*t^5.04 + 2*t^5.6 + 5*t^5.8 - t^4.16/y - t^4.16*y | detail |