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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56682 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_4^2$ + $ M_2M_7$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[1.0008, 0.9996, 0.9992, 1.0, 1.0004, 1.0002, 1.0004], q:[0.5, 0.4992], qb:[0.5004, 0.5008], phi:[0.4999]] | [X:[], M:[[8], [-4], [-8], [0], [4], [2], [4]], q:[[0], [-8]], qb:[[4], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_3$, $ M_4$, $ M_5$, $ M_6$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ M_6$, $ M_5$, $ M_7$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_1^2$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$ | 9 | 7*t^3. + 10*t^4.5 + 9*t^6. + 2*t^6.01 + t^7.49 + 22*t^7.5 + 7*t^7.51 + 4*t^8.99 - t^4.5/y - t^4.5*y | t^3. + t^3./g1^8 + g1^2*t^3. + 2*g1^4*t^3. + g1^8*t^3. + g1^12*t^3. + t^4.5/g1^17 + t^4.5/g1^9 + t^4.5/g1^5 + (2*t^4.5)/g1 + g1^3*t^4.5 + 2*g1^7*t^4.5 + g1^11*t^4.5 + g1^15*t^4.5 - 2*t^6. - t^6./g1^12 - t^6./g1^8 + t^6./g1^6 + g1^2*t^6. + g1^4*t^6. + 2*g1^6*t^6. + 2*g1^8*t^6. + g1^10*t^6. + 2*g1^12*t^6. + g1^14*t^6. + 2*g1^16*t^6. + g1^20*t^6.01 + g1^24*t^6.01 + t^7.49/g1^25 + t^7.5/g1^17 + t^7.5/g1^13 + t^7.5/g1^9 + t^7.5/g1^5 + (2*t^7.5)/g1 + 3*g1^3*t^7.5 + 4*g1^7*t^7.5 + 5*g1^11*t^7.5 + 4*g1^15*t^7.5 + 4*g1^19*t^7.51 + 2*g1^23*t^7.51 + g1^27*t^7.51 + t^8.99/g1^34 + t^8.99/g1^26 + t^8.99/g1^22 - t^8.99/g1^20 + (2*t^8.99)/g1^18 - t^4.5/(g1*y) + t^7.5/(g1^5*y) - (g1^3*t^7.5)/y - (t^4.5*y)/g1 + (t^7.5*y)/g1^5 - g1^3*t^7.5*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 |
---|---|---|---|---|---|---|---|---|---|
55084 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ M_4^2$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.013, 0.9935, 0.987, 1.0, 1.0065, 1.0032], q:[0.5, 0.487], qb:[0.5065, 0.513], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |