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 |
---|---|---|---|---|---|---|---|---|---|
45168 | SO5adj1nf2 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ | 1.7778 | 1.8819 | 0.9446 | [X:[1.3333], M:[0.7778, 0.8889], q:[0.5556, 0.4444], qb:[], phi:[0.3333]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 16/9, c: 271/144, X1: 4/3, M1: 7/9, M2: 8/9, q1: 5/9, q2: 4/9, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1M_2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ q_2^4$, $ M_1q_1^2$, $ M_2q_1q_2$ | $\phi_1^3q_1q_2$ | 2 | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4. + 2*t^4.67 + 3*t^5. + 5*t^5.33 + 2*t^5.67 + 2*t^6. + 2*t^6.33 + 5*t^6.67 + 4*t^7. + 7*t^7.33 + 7*t^7.67 + 14*t^8. + 3*t^8.33 + 5*t^8.67 - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^6.33/y - (2*t^6.67)/y - t^7./y - t^7.33/y - t^7.67/y - (3*t^8.)/y - t^8.33/y - t^8.67/y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y - t^6.33*y - 2*t^6.67*y - t^7.*y - t^7.33*y - t^7.67*y - 3*t^8.*y - t^8.33*y - t^8.67*y | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4. + 2*t^4.67 + 3*t^5. + 5*t^5.33 + 2*t^5.67 + 2*t^6. + 2*t^6.33 + 5*t^6.67 + 4*t^7. + 7*t^7.33 + 7*t^7.67 + 14*t^8. + 3*t^8.33 + 5*t^8.67 - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^6.33/y - (2*t^6.67)/y - t^7./y - t^7.33/y - t^7.67/y - (3*t^8.)/y - t^8.33/y - t^8.67/y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y - t^6.33*y - 2*t^6.67*y - t^7.*y - t^7.33*y - t^7.67*y - 3*t^8.*y - t^8.33*y - 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 |
---|---|---|---|---|---|---|---|---|
45292 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_2^2$ | 1.7677 | 1.865 | 0.9479 | [X:[1.3333], M:[0.7778, 0.8889, 1.1111], q:[0.5556, 0.4444], qb:[], phi:[0.3333]] | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 3*t^4. + 2*t^4.67 + 2*t^5. + 3*t^5.33 + 2*t^5.67 + 2*t^6. - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y | detail | {a: 2291/1296, c: 2417/1296, X1: 4/3, M1: 7/9, M2: 8/9, M3: 10/9, q1: 5/9, q2: 4/9, 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 |
---|---|---|---|---|---|---|---|---|---|
45013 | SO5adj1nf2 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ | 1.7917 | 1.8958 | 0.9451 | [X:[1.3333], M:[0.8333, 0.8333], q:[0.5, 0.5], qb:[], phi:[0.3333]] | 2*t^2.5 + 3*t^3. + 3*t^4. + 6*t^5. + 6*t^5.5 + 3*t^6. - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y | detail | {a: 43/24, c: 91/48, X1: 4/3, M1: 5/6, M2: 5/6, q1: 1/2, q2: 1/2, phi1: 1/3} |