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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56876 | 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_2M_6$ + $ M_4\phi_1^2$ + $ M_4M_7$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[1.0006, 0.9996, 0.9994, 1.0001, 1.0004, 1.0004, 0.9999], q:[0.5001, 0.4993], qb:[0.5003, 0.5005], phi:[0.4999]] | [X:[], M:[[10], [-6], [-10], [2], [6], [6], [-2]], q:[[1], [-11]], qb:[[5], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \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_5$, $ M_3M_5$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_7$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\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$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 10 | 7*t^3. + 10*t^4.5 + 10*t^6. + t^6.01 + t^7.49 + 28*t^7.5 + t^7.51 + 3*t^8.99 - t^4.5/y - t^4.5*y | t^3./g1^10 + (2*t^3.)/g1^2 + 2*g1^6*t^3. + g1^10*t^3. + g1^14*t^3. + t^4.5/g1^23 + t^4.5/g1^11 + t^4.5/g1^7 + t^4.5/g1^3 + g1*t^4.5 + g1^5*t^4.5 + 2*g1^9*t^4.5 + g1^13*t^4.5 + g1^17*t^4.5 - 3*t^6. - t^6./g1^16 + t^6./g1^12 - t^6./g1^8 + (3*t^6.)/g1^4 + 2*g1^4*t^6. + g1^8*t^6. + 4*g1^12*t^6. + g1^16*t^6. + 2*g1^20*t^6. + g1^24*t^6. + g1^28*t^6.01 + t^7.49/g1^33 + (2*t^7.5)/g1^25 - t^7.5/g1^21 + t^7.5/g1^17 + (2*t^7.5)/g1^13 + t^7.5/g1^9 + t^7.5/g1^5 + t^7.5/g1 + g1^3*t^7.5 + 5*g1^7*t^7.5 + 2*g1^11*t^7.5 + 5*g1^15*t^7.5 + 2*g1^19*t^7.5 + 4*g1^23*t^7.5 + 2*g1^27*t^7.5 + g1^31*t^7.51 + t^8.99/g1^46 + t^8.99/g1^34 + t^8.99/g1^30 - t^4.5/(g1*y) + t^7.5/(g1^7*y) - t^7.5/(g1^3*y) + (g1*t^7.5)/y - (g1^5*t^7.5)/y - (t^4.5*y)/g1 + (t^7.5*y)/g1^7 - (t^7.5*y)/g1^3 + g1*t^7.5*y - g1^5*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 |
---|---|---|---|---|---|---|---|---|---|
55245 | 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_2M_6$ + $ M_4\phi_1^2$ | 0.6914 | 0.848 | 0.8153 | [X:[], M:[0.9958, 1.0025, 1.0042, 0.9992, 0.9975, 0.9975], q:[0.4996, 0.5047], qb:[0.4979, 0.4962], phi:[0.5004]] | t^2.98 + 3*t^2.99 + 2*t^3. + t^3.01 + 2*t^4.48 + 3*t^4.49 + 2*t^4.5 + 2*t^4.51 + t^4.53 + t^5.96 + 3*t^5.97 + 6*t^5.98 + 3*t^5.99 - 2*t^6. - t^4.5/y - t^4.5*y | detail |