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 |
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2399 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5M_7$ | 0.6128 | 0.7847 | 0.781 | [X:[], M:[1.0, 0.8333, 0.7083, 0.75, 1.1667, 1.25, 0.8333], q:[0.7708, 0.2292], qb:[0.6042, 0.5625], phi:[0.4583]] | [X:[], M:[[0], [-8], [10], [-12], [8], [12], [-8]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 | {a: 1255/2048, c: 1607/2048, M1: 1, M2: 5/6, M3: 17/24, M4: 3/4, M5: 7/6, M6: 5/4, M7: 5/6, q1: 37/48, q2: 11/48, qb1: 29/48, qb2: 9/16, phi1: 11/24} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ q_2\tilde{q}_2$, $ M_7$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ M_3M_7$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_7q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_7\phi_1^2$, $ M_7\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_1\phi_1^2$ | . | -3 | t^2.12 + t^2.38 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.12 + t^4.25 + t^4.5 + 2*t^4.62 + 2*t^4.75 + 4*t^4.88 + 3*t^5. + 3*t^5.12 + 4*t^5.25 + t^5.38 + 5*t^5.5 + t^5.75 - 3*t^6. + t^6.12 + t^6.25 + t^6.38 + 3*t^6.5 + 2*t^6.62 + 3*t^6.75 + 2*t^6.88 + 3*t^7. + 4*t^7.12 + 5*t^7.25 + 4*t^7.38 + 8*t^7.5 + 6*t^7.62 + 7*t^7.75 + 5*t^7.88 + 8*t^8. - 2*t^8.12 + 6*t^8.25 - 4*t^8.38 - 3*t^8.5 - t^8.62 - 5*t^8.75 + 3*t^8.88 - t^4.38/y - t^6.5/y - t^6.88/y - t^7.12/y + t^7.5/y + (3*t^7.62)/y + (5*t^7.88)/y + t^8./y + (3*t^8.12)/y + (5*t^8.25)/y + t^8.38/y + (3*t^8.5)/y - t^8.62/y + (2*t^8.75)/y + t^8.88/y - t^4.38*y - t^6.5*y - t^6.88*y - t^7.12*y + t^7.5*y + 3*t^7.62*y + 5*t^7.88*y + t^8.*y + 3*t^8.12*y + 5*t^8.25*y + t^8.38*y + 3*t^8.5*y - t^8.62*y + 2*t^8.75*y + t^8.88*y | g1^10*t^2.12 + g1^14*t^2.38 + (2*t^2.5)/g1^8 + (2*t^2.75)/g1^4 + t^3. + g1^12*t^3.75 + g1^16*t^4. + t^4.12/g1^6 + g1^20*t^4.25 + g1^24*t^4.5 + 2*g1^2*t^4.62 + 2*g1^28*t^4.75 + 4*g1^6*t^4.88 + (3*t^5.)/g1^16 + 3*g1^10*t^5.12 + (4*t^5.25)/g1^12 + g1^14*t^5.38 + (5*t^5.5)/g1^8 + t^5.75/g1^4 - 3*t^6. - t^6.12/g1^22 + 2*g1^26*t^6.12 + g1^4*t^6.25 - t^6.38/g1^18 + 2*g1^30*t^6.38 + 3*g1^8*t^6.5 + t^6.62/g1^14 + g1^34*t^6.62 + 3*g1^12*t^6.75 + 2*g1^38*t^6.88 + 3*g1^16*t^7. + (2*t^7.12)/g1^6 + 2*g1^42*t^7.12 + 5*g1^20*t^7.25 + (4*t^7.38)/g1^2 + (3*t^7.5)/g1^24 + 5*g1^24*t^7.5 + 6*g1^2*t^7.62 + (5*t^7.75)/g1^20 + 2*g1^28*t^7.75 + 5*g1^6*t^7.88 + (8*t^8.)/g1^16 - 2*g1^10*t^8.12 + (5*t^8.25)/g1^12 + g1^36*t^8.25 - 4*g1^14*t^8.38 - (7*t^8.5)/g1^8 + 4*g1^40*t^8.5 - t^8.62/g1^30 - (8*t^8.75)/g1^4 + 3*g1^44*t^8.75 - (3*t^8.88)/g1^26 + 6*g1^22*t^8.88 - t^4.38/(g1^2*y) - (g1^8*t^6.5)/y - t^6.88/(g1^10*y) - t^7.12/(g1^6*y) + (g1^24*t^7.5)/y + (3*g1^2*t^7.62)/y + (5*g1^6*t^7.88)/y + t^8./(g1^16*y) + (3*g1^10*t^8.12)/y + (5*t^8.25)/(g1^12*y) + (g1^14*t^8.38)/y + (3*t^8.5)/(g1^8*y) - (g1^18*t^8.62)/y + (2*t^8.75)/(g1^4*y) + (g1^22*t^8.88)/y - (t^4.38*y)/g1^2 - g1^8*t^6.5*y - (t^6.88*y)/g1^10 - (t^7.12*y)/g1^6 + g1^24*t^7.5*y + 3*g1^2*t^7.62*y + 5*g1^6*t^7.88*y + (t^8.*y)/g1^16 + 3*g1^10*t^8.12*y + (5*t^8.25*y)/g1^12 + g1^14*t^8.38*y + (3*t^8.5*y)/g1^8 - g1^18*t^8.62*y + (2*t^8.75*y)/g1^4 + g1^22*t^8.88*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 |
---|---|---|---|---|---|---|---|---|---|
1360 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.5988 | 0.7618 | 0.7861 | [X:[], M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail |