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 |
|---|---|---|---|---|---|---|---|---|---|
| 46306 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ | 0.667 | 0.8136 | 0.8198 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -1 | t^2.3 + t^2.67 + t^2.96 + t^3.04 + t^3.33 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + t^4.96 + t^5.26 + 2*t^5.33 + t^5.63 + t^5.92 - t^6. + t^6.22 + 2*t^6.3 + 3*t^6.59 + 2*t^6.67 + t^6.74 + 2*t^6.89 + 3*t^6.96 + t^7.04 + t^7.11 + 2*t^7.26 + t^7.33 + 2*t^7.55 + 3*t^7.63 + t^7.85 + 3*t^7.92 + 3*t^8. + t^8.08 + t^8.15 + 2*t^8.22 + t^8.45 + t^8.52 + 2*t^8.59 - t^8.67 + 3*t^8.89 - t^4.33/y - t^6.63/y + t^7.96/y + t^8.04/y + t^8.26/y + t^8.33/y + (2*t^8.63)/y + t^8.7/y - t^4.33*y - t^6.63*y + t^7.96*y + t^8.04*y + t^8.26*y + t^8.33*y + 2*t^8.63*y + t^8.7*y | g1*t^2.3 + t^2.67 + g1*t^2.96 + t^3.04/g1 + t^3.33 + g1*t^3.63 + g1^2*t^3.92 + 2*t^4. + t^4.08/g1^2 + g1*t^4.3 + t^4.37/g1 + g1^2*t^4.59 + t^4.67 + g1*t^4.96 + g1^2*t^5.26 + 2*t^5.33 + g1*t^5.63 + g1^2*t^5.92 - t^6. + g1^3*t^6.22 + 2*g1*t^6.3 + 3*g1^2*t^6.59 + 2*t^6.67 + t^6.74/g1^2 + 2*g1^3*t^6.89 + 3*g1*t^6.96 + t^7.04/g1 + t^7.11/g1^3 + 2*g1^2*t^7.26 + t^7.33 + 2*g1^3*t^7.55 + 3*g1*t^7.63 + g1^4*t^7.85 + 3*g1^2*t^7.92 + 3*t^8. + t^8.08/g1^2 + t^8.15/g1^4 + 2*g1^3*t^8.22 + t^8.45/g1^3 + g1^4*t^8.52 + 2*g1^2*t^8.59 - t^8.67 + 3*g1^3*t^8.89 - t^4.33/y - (g1*t^6.63)/y + (g1*t^7.96)/y + t^8.04/(g1*y) + (g1^2*t^8.26)/y + t^8.33/y + (2*g1*t^8.63)/y + t^8.7/(g1*y) - t^4.33*y - g1*t^6.63*y + g1*t^7.96*y + (t^8.04*y)/g1 + g1^2*t^8.26*y + t^8.33*y + 2*g1*t^8.63*y + (t^8.7*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46617 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_4$ | 0.677 | 0.8306 | 0.8151 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652, 0.8889], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | t^2.3 + 2*t^2.67 + t^2.96 + t^3.04 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + 2*t^4.96 + t^5.26 + 4*t^5.33 + t^5.63 + t^5.7 + t^5.92 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 46408 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.6667 | 0.8125 | 0.8205 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.33 + t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 3*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 2/3, c: 13/16, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46798 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_3^2$ | 0.5563 | 0.6883 | 0.8083 | [X:[1.3333], M:[0.6667, 1.1111, 1.0], q:[0.7778, 0.5556], qb:[0.2222, 0.6667], phi:[0.4444]] | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^5. + 5*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 721/1296, c: 223/324, X1: 4/3, M1: 2/3, M2: 10/9, M3: 1, q1: 7/9, q2: 5/9, qb1: 2/9, qb2: 2/3, phi1: 4/9} |
| 46788 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 46711 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6844 | 0.8441 | 0.8108 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 0.7778], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 2*t^3. + t^3.33 + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 2*t^5. + 5*t^5.33 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 887/1296, c: 547/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 7/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46791 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ | 0.6669 | 0.8127 | 0.8206 | [X:[1.3333], M:[0.6667, 1.1111, 0.7879, 0.9899], q:[0.7778, 0.5556], qb:[0.4343, 0.4545], phi:[0.4444]] | t^2.36 + t^2.67 + 2*t^2.97 + t^3.33 + t^3.7 + t^3.94 + 2*t^4. + t^4.06 + t^4.3 + t^4.36 + t^4.67 + t^4.73 + t^5.03 + 3*t^5.33 + t^5.64 + 2*t^5.94 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 3169/4752, c: 1931/2376, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/33, M4: 98/99, q1: 7/9, q2: 5/9, qb1: 43/99, qb2: 5/11, phi1: 4/9} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46038 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.67 + 2*t^3. + t^3.33 + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + t^5.33 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |