Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
228	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.7272	0.8931	0.8142	[M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]]	[M:[[-4, 4, 0], [0, -8, -4], [4, -4, 0], [-8, 0, -4]], q:[[-4, -4, 0], [8, 0, 0]], qb:[[0, 8, 0], [0, 0, 4]], phi:[[-1, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}M_{1}^{2}$, ${ }M_{3}^{2}$	-3	2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. + t^6.036 + 2*t^6.452 + t^6.548 - t^6.619 + t^6.691 + 3*t^6.726 + t^6.761 + 4*t^7. + 2*t^7.035 + 2*t^7.071 + 4*t^7.142 + 3*t^7.31 + 3*t^7.345 + t^7.416 + 3*t^7.452 + 4*t^7.619 + 2*t^7.69 + 6*t^7.761 + 3*t^7.893 - 3*t^7.929 + 2*t^7.965 + t^8.036 + 4*t^8.071 - t^8.107 + t^8.142 - 2*t^8.274 + 2*t^8.31 - 4*t^8.381 + 2*t^8.416 - t^8.62 - t^8.655 - t^8.726 + t^8.762 + 3*t^8.832 + 4*t^8.964 - t^4.345/y - (2*t^6.726)/y - t^7.035/y + t^7.655/y + t^7.761/y + (2*t^7.965)/y + (2*t^8.071)/y + (4*t^8.381)/y + (2*t^8.655)/y + (2*t^8.69)/y + (2*t^8.726)/y + t^8.964/y - t^4.345*y - 2*t^6.726*y - t^7.035*y + t^7.655*y + t^7.761*y + 2*t^7.965*y + 2*t^8.071*y + 4*t^8.381*y + 2*t^8.655*y + 2*t^8.69*y + 2*t^8.726*y + t^8.964*y	t^2.381/(g1^8*g3^4) + t^2.381/(g2^8*g3^4) + t^2.69/(g1^2*g2^2*g3^2) + (g1^4*t^3.)/g2^4 + (g2^4*t^3.)/g1^4 + g1^8*g2^8*t^3.274 + (g3^4*t^3.345)/(g1^4*g2^4) + t^4.071/(g1^9*g2^9*g3) + (g1^3*t^4.345)/(g2^5*g3) + (g2^3*t^4.345)/(g1^5*g3) + (g1^15*t^4.619)/(g2*g3) + (g1^7*g2^7*t^4.619)/g3 + (g2^15*t^4.619)/(g1*g3) + (g3^3*t^4.69)/(g1^5*g2^5) + t^4.761/(g1^16*g3^8) + t^4.761/(g2^16*g3^8) + t^4.761/(g1^8*g2^8*g3^8) + (g1^7*g3^3*t^4.965)/g2 + (g2^7*g3^3*t^4.965)/g1 + t^5.071/(g1^2*g2^10*g3^6) + t^5.071/(g1^10*g2^2*g3^6) + (g3^7*t^5.31)/(g1*g2) + (g1^4*t^5.381)/(g2^12*g3^4) + (2*t^5.381)/(g1^4*g2^4*g3^4) + (g2^4*t^5.381)/(g1^12*g3^4) + (g1^2*t^5.69)/(g2^6*g3^2) + (g2^2*t^5.69)/(g1^6*g3^2) + (g1^6*g2^6*t^5.964)/g3^2 - 3*t^6. + (g3^2*t^6.036)/(g1^6*g2^6) + t^6.452/(g1^9*g2^17*g3^5) + t^6.452/(g1^17*g2^9*g3^5) + g1^16*g2^16*t^6.548 - g1^4*g2^4*g3^4*t^6.619 + (g3^8*t^6.691)/(g1^8*g2^8) + (g1^3*t^6.726)/(g2^13*g3^5) + t^6.726/(g1^5*g2^5*g3^5) + (g2^3*t^6.726)/(g1^13*g3^5) + t^6.761/(g1^11*g2^11*g3^3) + (g1^15*t^7.)/(g2^9*g3^5) + (g1^7*t^7.)/(g2*g3^5) + (g2^7*t^7.)/(g1*g3^5) + (g2^15*t^7.)/(g1^9*g3^5) + (g1*t^7.035)/(g2^7*g3^3) + (g2*t^7.035)/(g1^7*g3^3) + t^7.071/(g1^5*g2^13*g3) + t^7.071/(g1^13*g2^5*g3) + t^7.142/(g1^24*g3^12) + t^7.142/(g2^24*g3^12) + t^7.142/(g1^8*g2^16*g3^12) + t^7.142/(g1^16*g2^8*g3^12) + (g1^13*t^7.31)/(g2^3*g3^3) + (g1^5*g2^5*t^7.31)/g3^3 + (g2^13*t^7.31)/(g1^3*g3^3) + (g1^7*t^7.345)/(g2^9*g3) + t^7.345/(g1*g2*g3) + (g2^7*t^7.345)/(g1^9*g3) + (g3^3*t^7.416)/(g1^13*g2^13) + t^7.452/(g1^2*g2^18*g3^10) + t^7.452/(g1^10*g2^10*g3^10) + t^7.452/(g1^18*g2^2*g3^10) + (g1^19*t^7.619)/(g2^5*g3) + (g1^11*g2^3*t^7.619)/g3 + (g1^3*g2^11*t^7.619)/g3 + (g2^19*t^7.619)/(g1^5*g3) + (g3^3*t^7.69)/(g1*g2^9) + (g3^3*t^7.69)/(g1^9*g2) + (g1^4*t^7.761)/(g2^20*g3^8) + (2*t^7.761)/(g1^4*g2^12*g3^8) + (2*t^7.761)/(g1^12*g2^4*g3^8) + (g2^4*t^7.761)/(g1^20*g3^8) + (g1^23*g2^7*t^7.893)/g3 + (g1^15*g2^15*t^7.893)/g3 + (g1^7*g2^23*t^7.893)/g3 - g1^17*g2*g3*t^7.929 - g1^9*g2^9*g3*t^7.929 - g1*g2^17*g3*t^7.929 + (g1^11*g3^3*t^7.965)/g2^5 + (g2^11*g3^3*t^7.965)/g1^5 + (g3^7*t^8.036)/(g1^9*g2^9) + (g1^2*t^8.071)/(g2^14*g3^6) + (2*t^8.071)/(g1^6*g2^6*g3^6) + (g2^2*t^8.071)/(g1^14*g3^6) - t^8.107/(g1^12*g2^12*g3^4) + t^8.142/(g1^18*g2^18*g3^2) - g1^9*g2*g3^5*t^8.274 - g1*g2^9*g3^5*t^8.274 + (g1^3*g3^7*t^8.31)/g2^5 + (g2^3*g3^7*t^8.31)/g1^5 - (2*t^8.381)/(g1^8*g3^4) - (2*t^8.381)/(g2^8*g3^4) + t^8.416/(g1^6*g2^14*g3^2) + t^8.416/(g1^14*g2^6*g3^2) - g1*g2*g3^9*t^8.62 - (g1^12*t^8.655)/(g2^4*g3^4) - (g2^12*t^8.655)/(g1^4*g3^4) + (g3^11*t^8.655)/(g1^5*g2^5) + (g1^6*t^8.69)/(g2^10*g3^2) - (2*t^8.69)/(g1^2*g2^2*g3^2) + (g2^6*t^8.69)/(g1^10*g3^2) - t^8.726/(g1^8*g2^8) + (g3^2*t^8.762)/(g1^14*g2^14) + t^8.832/(g1^9*g2^25*g3^9) + t^8.832/(g1^17*g2^17*g3^9) + t^8.832/(g1^25*g2^9*g3^9) + (g1^18*t^8.964)/(g2^6*g3^2) + (g1^10*g2^2*t^8.964)/g3^2 + (g1^2*g2^10*t^8.964)/g3^2 + (g2^18*t^8.964)/(g1^6*g3^2) - t^4.345/(g1*g2*g3*y) - t^6.726/(g1*g2^9*g3^5*y) - t^6.726/(g1^9*g2*g3^5*y) - t^7.035/(g1^3*g2^3*g3^3*y) + (g1*g2*g3*t^7.655)/y + t^7.761/(g1^8*g2^8*g3^8*y) + (g1^7*g3^3*t^7.965)/(g2*y) + (g2^7*g3^3*t^7.965)/(g1*y) + t^8.071/(g1^2*g2^10*g3^6*y) + t^8.071/(g1^10*g2^2*g3^6*y) + (g1^4*t^8.381)/(g2^12*g3^4*y) + (2*t^8.381)/(g1^4*g2^4*g3^4*y) + (g2^4*t^8.381)/(g1^12*g3^4*y) + (g1^8*t^8.655)/(g3^4*y) + (g2^8*t^8.655)/(g3^4*y) + (g1^2*t^8.69)/(g2^6*g3^2*y) + (g2^2*t^8.69)/(g1^6*g3^2*y) + t^8.726/(g1^4*g2^12*y) + t^8.726/(g1^12*g2^4*y) + (g1^6*g2^6*t^8.964)/(g3^2*y) - (t^4.345*y)/(g1*g2*g3) - (t^6.726*y)/(g1*g2^9*g3^5) - (t^6.726*y)/(g1^9*g2*g3^5) - (t^7.035*y)/(g1^3*g2^3*g3^3) + g1*g2*g3*t^7.655*y + (t^7.761*y)/(g1^8*g2^8*g3^8) + (g1^7*g3^3*t^7.965*y)/g2 + (g2^7*g3^3*t^7.965*y)/g1 + (t^8.071*y)/(g1^2*g2^10*g3^6) + (t^8.071*y)/(g1^10*g2^2*g3^6) + (g1^4*t^8.381*y)/(g2^12*g3^4) + (2*t^8.381*y)/(g1^4*g2^4*g3^4) + (g2^4*t^8.381*y)/(g1^12*g3^4) + (g1^8*t^8.655*y)/g3^4 + (g2^8*t^8.655*y)/g3^4 + (g1^2*t^8.69*y)/(g2^6*g3^2) + (g2^2*t^8.69*y)/(g1^6*g3^2) + (t^8.726*y)/(g1^4*g2^12) + (t^8.726*y)/(g1^12*g2^4) + (g1^6*g2^6*t^8.964*y)/g3^2

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
366	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$	0.6975	0.8554	0.8154	[M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]]	t^2.729 + t^2.837 + t^2.946 + t^3.046 + t^3.054 + t^3.062 + t^3.163 + t^4.21 + t^4.31 + t^4.411 + t^4.419 + t^4.519 + t^4.535 + t^4.628 + t^4.636 + t^4.744 + t^4.86 + t^5.458 + t^5.566 + t^5.675 + 2*t^5.783 + 2*t^5.892 + t^5.992 - 2*t^6. - t^4.473/y - t^4.473*y	detail
365	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$	0.7284	0.8958	0.8131	[M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]]	t^2.307 + t^2.456 + t^2.691 + 2*t^2.926 + t^3.276 + t^3.343 + t^4.07 + t^4.271 + t^4.42 + t^4.472 + t^4.615 + t^4.621 + t^4.688 + t^4.763 + t^4.77 + t^4.889 + t^4.912 + t^4.998 + t^5.038 + t^5.147 + 2*t^5.233 + t^5.306 + 2*t^5.382 + 2*t^5.616 + 2*t^5.851 + t^5.967 - 4*t^6. - t^4.345/y - t^4.345*y	detail
1746	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$	0.6212	0.7607	0.8166	[X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]]	t^2.059 + t^2.303 + t^2.546 + t^3.454 + 2*t^3.576 + t^3.697 + 2*t^3.819 + t^4.119 + t^4.362 + 2*t^4.605 + 2*t^4.849 + t^5.092 + t^5.513 + 2*t^5.635 + t^5.757 + 2*t^5.878 - t^6. - t^4.151/y - t^4.151*y	detail
1749	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.7123	0.8829	0.8068	[M:[1.0, 0.6935, 1.0, 0.6935], q:[0.4818, 0.5182], qb:[0.5182, 0.7883], phi:[0.4234]]	2*t^2.081 + t^2.54 + 2*t^3. + t^3.109 + t^3.81 + 4*t^4.161 + 2*t^4.27 + 3*t^4.379 + 2*t^4.621 + 5*t^5.081 + 2*t^5.19 + 2*t^5.54 + t^5.649 - 2*t^6. - t^4.27/y - t^4.27*y	detail
367	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	0.7271	0.893	0.8142	[M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]]	2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*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
138	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7722	0.9495	0.8132	[M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]]	5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y	detail