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 |
|---|---|---|---|---|---|---|---|---|---|
| 2463 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7157 | 0.8835 | 0.8101 | [M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | [M:[[1], [-1], [1], [-1], [0], [0], [-1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.282 + t^2.333 + t^2.667 + t^2.948 + t^3. + t^3.052 + t^3.615 + t^3.667 + t^4.282 + t^4.333 + t^4.385 + t^4.563 + t^4.615 + t^4.667 + t^4.896 + 2*t^4.948 + 3*t^5. + t^5.052 + t^5.104 + t^5.23 + t^5.282 + 2*t^5.333 + t^5.615 + t^5.667 + t^5.718 + t^5.896 + t^5.948 - t^6. - t^6.052 + t^6.282 + t^6.333 + 2*t^6.563 + 2*t^6.615 + t^6.667 + t^6.845 + t^6.896 + 2*t^6.948 + t^7. + t^7.052 + t^7.178 + 4*t^7.23 + 4*t^7.282 + 4*t^7.333 + t^7.385 + t^7.437 + t^7.511 + 2*t^7.563 + 2*t^7.615 + 2*t^7.667 + t^7.77 + t^7.845 + 3*t^7.896 + 4*t^7.948 + 4*t^8. + 2*t^8.052 + t^8.104 + t^8.155 + t^8.178 - 2*t^8.282 - 4*t^8.333 - 2*t^8.385 - t^8.437 + t^8.511 + 3*t^8.563 + 3*t^8.615 + t^8.667 + t^8.77 + 2*t^8.845 + t^8.896 - 2*t^8.948 - t^4.333/y - t^6.615/y - t^6.667/y - t^7./y + t^7.615/y + t^7.667/y + t^7.948/y + (2*t^8.)/y + t^8.052/y + t^8.23/y + (2*t^8.282)/y + (2*t^8.333)/y + t^8.385/y + t^8.615/y + t^8.667/y + t^8.718/y + (2*t^8.948)/y - t^4.333*y - t^6.615*y - t^6.667*y - t^7.*y + t^7.615*y + t^7.667*y + t^7.948*y + 2*t^8.*y + t^8.052*y + t^8.23*y + 2*t^8.282*y + 2*t^8.333*y + t^8.385*y + t^8.615*y + t^8.667*y + t^8.718*y + 2*t^8.948*y | t^2.282/g1 + t^2.333 + t^2.667 + t^2.948/g1 + t^3. + g1*t^3.052 + t^3.615/g1 + t^3.667 + t^4.282/g1 + t^4.333 + g1*t^4.385 + t^4.563/g1^2 + t^4.615/g1 + t^4.667 + t^4.896/g1^2 + (2*t^4.948)/g1 + 3*t^5. + g1*t^5.052 + g1^2*t^5.104 + t^5.23/g1^2 + t^5.282/g1 + 2*t^5.333 + t^5.615/g1 + t^5.667 + g1*t^5.718 + t^5.896/g1^2 + t^5.948/g1 - t^6. - g1*t^6.052 + t^6.282/g1 + t^6.333 + (2*t^6.563)/g1^2 + (2*t^6.615)/g1 + t^6.667 + t^6.845/g1^3 + t^6.896/g1^2 + (2*t^6.948)/g1 + t^7. + g1*t^7.052 + t^7.178/g1^3 + (4*t^7.23)/g1^2 + (4*t^7.282)/g1 + 4*t^7.333 + g1*t^7.385 + g1^2*t^7.437 + t^7.511/g1^3 + (2*t^7.563)/g1^2 + (2*t^7.615)/g1 + 2*t^7.667 + g1^2*t^7.77 + t^7.845/g1^3 + (3*t^7.896)/g1^2 + (4*t^7.948)/g1 + 4*t^8. + 2*g1*t^8.052 + g1^2*t^8.104 + g1^3*t^8.155 + t^8.178/g1^3 - (2*t^8.282)/g1 - 4*t^8.333 - 2*g1*t^8.385 - g1^2*t^8.437 + t^8.511/g1^3 + (3*t^8.563)/g1^2 + (3*t^8.615)/g1 + t^8.667 + g1^2*t^8.77 + (2*t^8.845)/g1^3 + t^8.896/g1^2 - (2*t^8.948)/g1 - t^4.333/y - t^6.615/(g1*y) - t^6.667/y - t^7./y + t^7.615/(g1*y) + t^7.667/y + t^7.948/(g1*y) + (2*t^8.)/y + (g1*t^8.052)/y + t^8.23/(g1^2*y) + (2*t^8.282)/(g1*y) + (2*t^8.333)/y + (g1*t^8.385)/y + t^8.615/(g1*y) + t^8.667/y + (g1*t^8.718)/y + (2*t^8.948)/(g1*y) - t^4.333*y - (t^6.615*y)/g1 - t^6.667*y - t^7.*y + (t^7.615*y)/g1 + t^7.667*y + (t^7.948*y)/g1 + 2*t^8.*y + g1*t^8.052*y + (t^8.23*y)/g1^2 + (2*t^8.282*y)/g1 + 2*t^8.333*y + g1*t^8.385*y + (t^8.615*y)/g1 + t^8.667*y + g1*t^8.718*y + (2*t^8.948*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 |
|---|---|---|---|---|---|---|---|---|
| 4509 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6914 | 0.8511 | 0.8123 | [M:[0.6667, 1.1111, 0.8889, 0.8889, 1.0, 0.7778, 1.3333], q:[0.7222, 0.6111], qb:[0.3889, 0.5], phi:[0.4444]] | t^2.333 + 3*t^2.667 + t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 3*t^4.667 + 4*t^5. + 6*t^5.333 + 2*t^5.667 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 56/81, c: 1103/1296, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 1, M6: 7/9, M7: 4/3, q1: 13/18, q2: 11/18, qb1: 7/18, qb2: 1/2, phi1: 4/9} |
| 4510 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}^{2}$ | 0.7153 | 0.8819 | 0.811 | [M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.2222], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 3*t^3. + 2*t^3.667 + 3*t^4.333 + 3*t^4.667 + 8*t^5. + 4*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 103/144, c: 127/144, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, M7: 11/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 4508 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}^{2}$ | 0.6327 | 0.7855 | 0.8055 | [M:[0.5556, 1.2222, 0.7778, 1.0, 1.0, 0.7778, 1.4444], q:[0.8333, 0.6111], qb:[0.3889, 0.3889], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 2*t^3. + 4*t^3.667 + 3*t^4.333 + t^4.667 + 5*t^5. + 2*t^5.333 + 3*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 205/324, c: 509/648, M1: 5/9, M2: 11/9, M3: 7/9, M4: 1, M5: 1, M6: 7/9, M7: 13/9, q1: 5/6, q2: 11/18, qb1: 7/18, qb2: 7/18, phi1: 4/9} |
| 4512 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7057 | 0.8665 | 0.8144 | [M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049, 1.1111], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.282 + t^2.333 + t^2.948 + t^3. + t^3.052 + t^3.333 + t^3.615 + t^3.667 + t^4.282 + t^4.333 + t^4.385 + t^4.563 + t^4.615 + t^4.667 + t^4.896 + t^4.948 + 2*t^5. + t^5.052 + t^5.104 + t^5.23 + t^5.282 + t^5.333 + t^5.615 + t^5.667 + t^5.896 + t^5.948 - t^6. - t^4.333/y - t^4.333*y | detail | |
| 4513 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7335 | 0.9151 | 0.8015 | [M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049, 0.7778], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.282 + 2*t^2.333 + t^2.667 + t^2.948 + t^3. + t^3.052 + t^3.615 + t^4.282 + t^4.333 + t^4.385 + t^4.563 + 2*t^4.615 + 3*t^4.667 + t^4.896 + 2*t^4.948 + 4*t^5. + t^5.052 + t^5.104 + t^5.23 + 2*t^5.282 + 3*t^5.333 + t^5.385 + t^5.615 + t^5.667 + t^5.718 + t^5.896 + t^5.948 - 2*t^6. - t^4.333/y - t^4.333*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1415 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.733 | 0.9136 | 0.8024 | [M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.333 + t^2.667 + 3*t^3. + t^3.667 + 3*t^4.333 + 6*t^4.667 + 9*t^5. + 7*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 475/648, c: 74/81, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |