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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56987 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ M_3M_4$ + $ M_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7X_1$ | 0.5644 | 0.692 | 0.8157 | [X:[1.3062], M:[0.7344, 1.0, 1.0406, 0.9594, 0.6938, 1.2656, 0.6938], q:[0.3062, 0.9594], qb:[0.6938, 0.6531], phi:[0.3469]] | [X:[[2]], M:[[-5], [0], [-3], [3], [-2], [5], [-2]], q:[[2], [3]], qb:[[-2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_4$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ \phi_1q_1\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$ | . | -3 | 2*t^2.08 + 2*t^2.88 + t^3. + t^3.8 + t^4.04 + 3*t^4.16 + t^4.84 + 5*t^4.96 + t^5.08 + 3*t^5.76 + 3*t^5.88 - 3*t^6. + 4*t^6.24 + 2*t^6.67 + t^6.92 + 6*t^7.04 + t^7.59 + t^7.72 + 6*t^7.84 + t^7.96 - 5*t^8.08 + 5*t^8.33 + 5*t^8.63 + 4*t^8.76 - 8*t^8.88 - t^4.04/y - (2*t^6.12)/y + t^7.16/y + (6*t^7.96)/y + (2*t^8.08)/y - (3*t^8.2)/y + t^8.76/y + (4*t^8.88)/y - t^4.04*y - 2*t^6.12*y + t^7.16*y + 6*t^7.96*y + 2*t^8.08*y - 3*t^8.2*y + t^8.76*y + 4*t^8.88*y | (2*t^2.08)/g1^2 + 2*g1^3*t^2.88 + t^3. + g1^5*t^3.8 + t^4.04/g1 + (3*t^4.16)/g1^4 + g1^4*t^4.84 + 5*g1*t^4.96 + t^5.08/g1^2 + 3*g1^6*t^5.76 + 3*g1^3*t^5.88 - 3*t^6. + (4*t^6.24)/g1^6 + 2*g1^8*t^6.67 + g1^2*t^6.92 + (6*t^7.04)/g1 + g1^10*t^7.59 + g1^7*t^7.72 + 6*g1^4*t^7.84 + g1*t^7.96 - (5*t^8.08)/g1^2 + (5*t^8.33)/g1^8 + 5*g1^9*t^8.63 + 4*g1^6*t^8.76 - 8*g1^3*t^8.88 - t^4.04/(g1*y) - (2*t^6.12)/(g1^3*y) + t^7.16/(g1^4*y) + (6*g1*t^7.96)/y + (2*t^8.08)/(g1^2*y) - (3*t^8.2)/(g1^5*y) + (g1^6*t^8.76)/y + (4*g1^3*t^8.88)/y - (t^4.04*y)/g1 - (2*t^6.12*y)/g1^3 + (t^7.16*y)/g1^4 + 6*g1*t^7.96*y + (2*t^8.08*y)/g1^2 - (3*t^8.2*y)/g1^5 + g1^6*t^8.76*y + 4*g1^3*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 |
---|---|---|---|---|---|---|---|---|---|
55296 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ M_3M_4$ + $ M_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_1M_6$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.3032], M:[0.742, 1.0, 1.0452, 0.9548, 0.6968, 1.258], q:[0.3032, 0.9548], qb:[0.6968, 0.6516], phi:[0.3484]] | t^2.09 + 2*t^2.86 + t^3. + t^3.77 + t^3.91 + t^4.05 + t^4.18 + t^4.82 + 3*t^4.95 + 3*t^5.73 + 2*t^5.86 - 2*t^6. - t^4.05/y - t^4.05*y | detail |