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 |
---|---|---|---|---|---|---|---|---|---|
111 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.5768 | 0.6957 | 0.829 | [X:[], M:[1.0], q:[0.6194, 1.0], qb:[0.3806, 0.4775], phi:[0.3806]] | [X:[], M:[[0]], q:[[1], [0]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.28 + t^2.57 + t^3. + t^3.29 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.43 + t^4.57 + 2*t^4.86 + t^5.15 + t^5.57 + t^5.87 + 2*t^6.29 + 2*t^6.58 + t^6.72 + t^6.85 + 2*t^7.01 + t^7.14 + t^7.3 + 2*t^7.43 + 2*t^7.72 + t^8.01 + 2*t^8.15 + 2*t^8.44 - t^8.57 - t^8.71 + 3*t^8.87 - t^4.14/y - t^6.43/y + (2*t^7.86)/y + t^8.28/y + (2*t^8.57)/y + t^8.87/y - t^4.14*y - t^6.43*y + 2*t^7.86*y + t^8.28*y + 2*t^8.57*y + t^8.87*y | t^2.28/g1^2 + g1^3*t^2.57 + t^3. + g1^5*t^3.29 + t^3.43/g1^3 + g1^2*t^3.72 + g1^7*t^4.01 + t^4.14/g1 + g1^4*t^4.43 + t^4.57/g1^4 + 2*g1*t^4.86 + g1^6*t^5.15 + g1^3*t^5.57 + g1^8*t^5.87 + 2*g1^5*t^6.29 + 2*g1^10*t^6.58 + g1^2*t^6.72 + t^6.85/g1^6 + 2*g1^7*t^7.01 + t^7.14/g1 + g1^12*t^7.3 + 2*g1^4*t^7.43 + 2*g1^9*t^7.72 + g1^14*t^8.01 + 2*g1^6*t^8.15 + 2*g1^11*t^8.44 - g1^3*t^8.57 - t^8.71/g1^5 + 3*g1^8*t^8.87 - t^4.14/(g1*y) - t^6.43/(g1^3*y) + (2*g1*t^7.86)/y + t^8.28/(g1^2*y) + (2*g1^3*t^8.57)/y + (g1^8*t^8.87)/y - (t^4.14*y)/g1 - (t^6.43*y)/g1^3 + 2*g1*t^7.86*y + (t^8.28*y)/g1^2 + 2*g1^3*t^8.57*y + g1^8*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
177 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5954 | 0.7288 | 0.817 | [X:[], M:[1.0, 0.7562], q:[0.6219, 1.0], qb:[0.3781, 0.4876], phi:[0.3781]] | 2*t^2.27 + t^2.6 + t^3. + t^3.33 + t^3.4 + t^4.06 + t^4.13 + t^4.46 + 3*t^4.54 + 3*t^4.87 + t^5.19 + t^5.27 + 2*t^5.6 + t^5.67 + t^5.93 - t^6. - t^4.13/y - t^4.13*y | detail | |
1711 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.4324 | 0.4949 | 0.8737 | [X:[1.4286], M:[1.0], q:[0.7143, 1.0], qb:[0.2857, 0.8571], phi:[0.2857]] | t^2.57 + t^3. + t^3.43 + t^3.86 + t^4.29 + t^5.14 - t^3.86/y - t^3.86*y | detail | {a: 339/784, c: 97/196, X1: 10/7, M1: 1, q1: 5/7, q2: 1, qb1: 2/7, qb2: 6/7, phi1: 2/7} |
178 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.3333], M:[1.0], q:[0.6667, 1.0], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 4/3, M1: 1, q1: 2/3, q2: 1, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
73 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.5776 | 0.6992 | 0.8261 | [X:[], M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | t^2.33 + t^2.5 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^4.83 + t^5. + t^5.5 + 2*t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail |