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 |
---|---|---|---|---|---|---|---|---|---|
5776 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_5X_1$ | 0.6265 | 0.7863 | 0.7969 | [X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.0], q:[0.5, 0.7222], qb:[0.2778, 0.7222], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 203/324, c: 1019/1296, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 1, q1: 1/2, q2: 13/18, qb1: 5/18, qb2: 13/18, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_6$, $ M_7$, $ M_3$, $ M_8$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_3M_6$, $ M_3M_7$, $ M_1M_8$, $ M_6M_8$, $ M_7M_8$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_3M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | 1 | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 4*t^4.33 + 4*t^4.67 + 2*t^5. + 6*t^5.33 + 6*t^5.67 + t^6. + 2*t^6.33 + 7*t^6.67 + 4*t^7. + 8*t^7.33 + 7*t^7.67 + 13*t^8. - 4*t^8.33 + 14*t^8.67 - t^4.33/y - (2*t^6.67)/y + (3*t^7.67)/y + (2*t^8.)/y + (9*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - 2*t^6.67*y + 3*t^7.67*y + 2*t^8.*y + 9*t^8.33*y + 3*t^8.67*y | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 4*t^4.33 + 4*t^4.67 + 2*t^5. + 6*t^5.33 + 6*t^5.67 + t^6. + 2*t^6.33 + 7*t^6.67 + 4*t^7. + 8*t^7.33 + 7*t^7.67 + 13*t^8. - 4*t^8.33 + 14*t^8.67 - t^4.33/y - (2*t^6.67)/y + (3*t^7.67)/y + (2*t^8.)/y + (9*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - 2*t^6.67*y + 3*t^7.67*y + 2*t^8.*y + 9*t^8.33*y + 3*t^8.67*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 |
---|---|---|---|---|---|---|---|---|---|
4330 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7323 | 0.9198 | 0.7962 | [X:[], M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]] | t^2.04 + t^2.52 + 3*t^2.76 + 2*t^3. + t^3.12 + t^4.08 + t^4.2 + 3*t^4.44 + t^4.56 + 2*t^4.68 + 3*t^4.8 + 3*t^4.92 + 3*t^5.04 + t^5.16 + 3*t^5.28 + 6*t^5.52 + t^5.64 + 3*t^5.76 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail |