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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637 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ | 0.6406 | 0.8108 | 0.7901 | [X:[], M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1q_2$, $ M_5q_1q_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | 1 | 2*t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^3.99 + t^4. + t^4.17 + t^4.34 + 3*t^4.66 + 2*t^4.83 + 2*t^5. + t^5.01 + t^5.17 + 3*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6. + 2*t^6.16 + 2*t^6.32 + 2*t^6.33 + 3*t^6.5 + t^6.51 + t^6.66 + 3*t^6.67 + t^6.83 + t^6.84 + 5*t^6.99 + t^7. + 2*t^7.17 + 3*t^7.33 + 2*t^7.34 + t^7.49 + t^7.5 + t^7.51 + 5*t^7.66 + t^7.67 + t^7.82 + 2*t^7.83 + t^7.99 + 4*t^8. + 2*t^8.01 + 2*t^8.16 + t^8.33 + t^8.34 + 2*t^8.49 - t^8.5 + 3*t^8.66 + t^8.68 + 4*t^8.83 + 2*t^8.99 - t^4.5/y - t^6.83/y + t^7.66/y + (2*t^7.83)/y + (2*t^8.)/y + (2*t^8.17)/y + (2*t^8.33)/y + t^8.5/y + (3*t^8.67)/y + (2*t^8.83)/y + t^8.84/y - t^4.5*y - t^6.83*y + t^7.66*y + 2*t^7.83*y + 2*t^8.*y + 2*t^8.17*y + 2*t^8.33*y + t^8.5*y + 3*t^8.67*y + 2*t^8.83*y + t^8.84*y | (2*t^2.33)/g1^2 + g1^3*t^2.5 + t^2.67/g1 + t^3. + g1*t^3.33 + t^3.5/g1^3 + g1^2*t^3.67 + t^3.83/g1^2 + t^3.99/g1^6 + g1^3*t^4. + t^4.17/g1 + g1^4*t^4.34 + (3*t^4.66)/g1^4 + 2*g1*t^4.83 + (2*t^5.)/g1^3 + g1^6*t^5.01 + g1^2*t^5.17 + (3*t^5.33)/g1^2 + g1^3*t^5.5 + (2*t^5.67)/g1 + t^5.83/g1^5 + t^6. + (2*t^6.16)/g1^4 + (2*t^6.32)/g1^8 + 2*g1*t^6.33 + (3*t^6.5)/g1^3 + g1^6*t^6.51 + t^6.66/g1^7 + 3*g1^2*t^6.67 + t^6.83/g1^2 + g1^7*t^6.84 + (5*t^6.99)/g1^6 + g1^3*t^7. + (2*t^7.17)/g1 + (3*t^7.33)/g1^5 + 2*g1^4*t^7.34 + t^7.49/g1^9 + t^7.5 + g1^9*t^7.51 + (5*t^7.66)/g1^4 + g1^5*t^7.67 + t^7.82/g1^8 + 2*g1*t^7.83 + t^7.99/g1^12 + (4*t^8.)/g1^3 + 2*g1^6*t^8.01 + (2*t^8.16)/g1^7 + t^8.33/g1^2 + g1^7*t^8.34 + (2*t^8.49)/g1^6 - g1^3*t^8.5 + (3*t^8.66)/g1^10 + g1^8*t^8.68 + (4*t^8.83)/g1^5 + (2*t^8.99)/g1^9 - t^4.5/y - t^6.83/(g1^2*y) + t^7.66/(g1^4*y) + (2*g1*t^7.83)/y + (2*t^8.)/(g1^3*y) + (2*g1^2*t^8.17)/y + (2*t^8.33)/(g1^2*y) + (g1^3*t^8.5)/y + (3*t^8.67)/(g1*y) + (2*t^8.83)/(g1^5*y) + (g1^4*t^8.84)/y - t^4.5*y - (t^6.83*y)/g1^2 + (t^7.66*y)/g1^4 + 2*g1*t^7.83*y + (2*t^8.*y)/g1^3 + 2*g1^2*t^8.17*y + (2*t^8.33*y)/g1^2 + g1^3*t^8.5*y + (3*t^8.67*y)/g1 + (2*t^8.83*y)/g1^5 + g1^4*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
1960 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_3q_1q_2$ | 0.6387 | 0.8075 | 0.791 | [X:[], M:[1.2, 1.1, 0.8, 0.9, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 20439/32000, c: 25839/32000, M1: 6/5, M2: 11/10, M3: 4/5, M4: 9/10, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
1014 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6606 | 0.8481 | 0.7789 | [X:[], M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | t^2.16 + 2*t^2.34 + t^2.49 + t^2.67 + t^3. + t^3.33 + t^3.51 + t^3.66 + t^3.99 + t^4.03 + t^4.17 + 2*t^4.31 + 2*t^4.5 + t^4.64 + 3*t^4.69 + 3*t^4.83 + t^4.97 + 2*t^5.01 + 2*t^5.16 + 3*t^5.34 + 2*t^5.49 + 3*t^5.67 + t^5.81 + t^5.86 + t^6. - t^4.5/y - t^4.5*y | detail | |
1962 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6585 | 0.8435 | 0.7807 | [X:[], M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]] | 3*t^2.31 + t^2.53 + t^2.66 + t^3. + t^3.34 + t^3.47 + t^3.81 + t^3.93 + t^4.03 + t^4.16 + t^4.38 + 6*t^4.62 + 3*t^4.84 + 3*t^4.97 + t^5.07 + t^5.19 + 4*t^5.31 + t^5.53 + 3*t^5.66 + 2*t^5.78 - t^6. - t^4.5/y - t^4.5*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
395 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ | 0.623 | 0.7792 | 0.7995 | [X:[], M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + t^3.97 + t^4.06 + t^4.18 + t^4.29 + t^4.71 + t^4.82 + t^4.94 + t^5.03 + t^5.15 + 2*t^5.35 + t^5.47 + t^5.68 + t^6. - t^4.5/y - t^4.5*y | detail |