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
1817	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6791	0.8778	0.7737	[M:[0.8237, 1.1763, 0.8237, 0.6763, 0.8213], q:[0.75, 0.4263], qb:[0.4287, 0.395], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.029 + 2*t^2.464 + 2*t^2.471 + t^2.565 + t^3. + t^3.435 + t^3.87 + t^3.964 + 2*t^4.058 + t^4.065 + t^4.072 + 2*t^4.493 + 2*t^4.5 + t^4.594 + 3*t^4.928 + 4*t^4.935 + 3*t^4.942 + 3*t^5.029 + 2*t^5.036 + t^5.13 + 3*t^5.464 + 2*t^5.471 + t^5.565 + 2*t^5.899 + t^5.906 - 2*t^6. - t^6.007 + 2*t^6.087 + 2*t^6.334 + 2*t^6.341 + 2*t^6.428 + 2*t^6.435 + 4*t^6.522 + 5*t^6.529 + 2*t^6.536 + 2*t^6.543 + 2*t^6.623 + t^6.63 + t^6.637 + t^6.87 + 3*t^6.957 + 3*t^6.964 + t^6.971 + 3*t^7.058 + t^7.065 + t^7.159 + t^7.305 + 4*t^7.392 + 5*t^7.399 + 4*t^7.406 + 4*t^7.413 + 5*t^7.493 + 3*t^7.5 + 2*t^7.507 + t^7.594 + t^7.695 + t^7.74 + t^7.834 + 6*t^7.928 + 4*t^7.935 + 3*t^7.942 + t^8.022 - t^8.029 + 3*t^8.116 + t^8.123 + 2*t^8.13 + t^8.137 + t^8.144 + 3*t^8.363 + 2*t^8.37 + t^8.377 - 5*t^8.464 - 7*t^8.471 - 2*t^8.478 + 4*t^8.551 + 2*t^8.558 - 4*t^8.565 - t^8.572 + 2*t^8.652 + 3*t^8.798 + 4*t^8.805 + 3*t^8.812 + 3*t^8.892 + 4*t^8.899 + 2*t^8.906 + 6*t^8.986 + 7*t^8.993 - t^4.5/y - t^6.529/y - t^6.964/y - t^6.971/y + (2*t^7.493)/y + (2*t^7.5)/y + t^7.594/y + t^7.928/y + (4*t^7.935)/y + t^7.942/y + (4*t^8.029)/y + (3*t^8.036)/y + (3*t^8.464)/y + (3*t^8.471)/y - t^8.558/y + t^8.565/y + (3*t^8.899)/y + (2*t^8.906)/y - t^4.5*y - t^6.529*y - t^6.964*y - t^6.971*y + 2*t^7.493*y + 2*t^7.5*y + t^7.594*y + t^7.928*y + 4*t^7.935*y + t^7.942*y + 4*t^8.029*y + 3*t^8.036*y + 3*t^8.464*y + 3*t^8.471*y - t^8.558*y + t^8.565*y + 3*t^8.899*y + 2*t^8.906*y	t^2.029/(g1*g2) + (2*t^2.464)/g1 + 2*g1*g2*t^2.471 + t^2.565/g2 + t^3. + g2*t^3.435 + g2^2*t^3.87 + t^3.964/g1 + (2*t^4.058)/(g1^2*g2^2) + t^4.065/g2 + g1^2*t^4.072 + (2*t^4.493)/(g1^2*g2) + 2*t^4.5 + t^4.594/(g1*g2^2) + (3*t^4.928)/g1^2 + 4*g2*t^4.935 + 3*g1^2*g2^2*t^4.942 + (3*t^5.029)/(g1*g2) + 2*g1*t^5.036 + t^5.13/g2^2 + (3*t^5.464)/g1 + 2*g1*g2*t^5.471 + t^5.565/g2 + (2*g2*t^5.899)/g1 + g1*g2^2*t^5.906 - 2*t^6. - g1^2*g2*t^6.007 + (2*t^6.087)/(g1^3*g2^3) + (2*g2^2*t^6.334)/g1 + 2*g1*g2^3*t^6.341 + (2*t^6.428)/g1^2 + 2*g2*t^6.435 + (4*t^6.522)/(g1^3*g2^2) + (5*t^6.529)/(g1*g2) + 2*g1*t^6.536 + 2*g1^3*g2*t^6.543 + (2*t^6.623)/(g1^2*g2^3) + t^6.63/g2^2 + (g1^2*t^6.637)/g2 + g2^2*t^6.87 + (3*t^6.957)/(g1^3*g2) + (3*t^6.964)/g1 + g1*g2*t^6.971 + (3*t^7.058)/(g1^2*g2^2) + t^7.065/g2 + t^7.159/(g1*g2^3) + g2^3*t^7.305 + (4*t^7.392)/g1^3 + (5*g2*t^7.399)/g1 + 4*g1*g2^2*t^7.406 + 4*g1^3*g2^3*t^7.413 + (5*t^7.493)/(g1^2*g2) + 3*t^7.5 + 2*g1^2*g2*t^7.507 + t^7.594/(g1*g2^2) + t^7.695/g2^3 + g2^4*t^7.74 + (g2^2*t^7.834)/g1 + (6*t^7.928)/g1^2 + 4*g2*t^7.935 + 3*g1^2*g2^2*t^7.942 + t^8.022/(g1^3*g2^2) - t^8.029/(g1*g2) + (3*t^8.116)/(g1^4*g2^4) + t^8.123/(g1^2*g2^3) + (2*t^8.13)/g2^2 + (g1^2*t^8.137)/g2 + g1^4*t^8.144 + (3*g2*t^8.363)/g1^2 + 2*g2^2*t^8.37 + g1^2*g2^3*t^8.377 - (5*t^8.464)/g1 - 7*g1*g2*t^8.471 - 2*g1^3*g2^2*t^8.478 + (4*t^8.551)/(g1^4*g2^3) + (2*t^8.558)/(g1^2*g2^2) - (4*t^8.565)/g2 - g1^2*t^8.572 + (2*t^8.652)/(g1^3*g2^4) + (3*g2^2*t^8.798)/g1^2 + 4*g2^3*t^8.805 + 3*g1^2*g2^4*t^8.812 + (3*t^8.892)/g1^3 + (4*g2*t^8.899)/g1 + 2*g1*g2^2*t^8.906 + (6*t^8.986)/(g1^4*g2^2) + (7*t^8.993)/(g1^2*g2) - t^4.5/y - t^6.529/(g1*g2*y) - t^6.964/(g1*y) - (g1*g2*t^6.971)/y + (2*t^7.493)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.594/(g1*g2^2*y) + t^7.928/(g1^2*y) + (4*g2*t^7.935)/y + (g1^2*g2^2*t^7.942)/y + (4*t^8.029)/(g1*g2*y) + (3*g1*t^8.036)/y + (3*t^8.464)/(g1*y) + (3*g1*g2*t^8.471)/y - t^8.558/(g1^2*g2^2*y) + t^8.565/(g2*y) + (3*g2*t^8.899)/(g1*y) + (2*g1*g2^2*t^8.906)/y - t^4.5*y - (t^6.529*y)/(g1*g2) - (t^6.964*y)/g1 - g1*g2*t^6.971*y + (2*t^7.493*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.594*y)/(g1*g2^2) + (t^7.928*y)/g1^2 + 4*g2*t^7.935*y + g1^2*g2^2*t^7.942*y + (4*t^8.029*y)/(g1*g2) + 3*g1*t^8.036*y + (3*t^8.464*y)/g1 + 3*g1*g2*t^8.471*y - (t^8.558*y)/(g1^2*g2^2) + (t^8.565*y)/g2 + (3*g2*t^8.899*y)/g1 + 2*g1*g2^2*t^8.906*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
2835	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6999	0.9187	0.7619	[M:[0.823, 1.177, 0.823, 0.677, 0.823, 0.677], q:[0.75, 0.427], qb:[0.427, 0.396], phi:[0.5]]	2*t^2.031 + 4*t^2.469 + t^2.562 + t^3. + t^3.438 + t^3.876 + 6*t^4.062 + 8*t^4.5 + 2*t^4.593 + 10*t^4.938 + 6*t^5.031 + t^5.124 + 6*t^5.469 + t^5.562 + 4*t^5.907 - 4*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

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
359	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6647	0.8522	0.78	[M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]]	t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y	detail