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
2823	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6271	0.8133	0.771	[M:[0.9796, 1.0612, 1.0204, 0.9388, 0.7857, 0.7857], q:[0.7449, 0.2755], qb:[0.4694, 0.4694], phi:[0.5102]]	[M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-1	2*t^2.235 + 2*t^2.357 + t^2.816 + 2*t^3.061 + t^3.184 + 2*t^3.765 + 3*t^4.347 + 3*t^4.469 + 4*t^4.592 + 3*t^4.714 + 2*t^5.051 + 2*t^5.174 + 4*t^5.296 + 4*t^5.418 + 2*t^5.541 + t^5.633 + t^5.878 - t^6. + 5*t^6.122 + 2*t^6.245 + t^6.367 + 4*t^6.582 + 6*t^6.704 + 6*t^6.826 + 6*t^6.949 + 4*t^7.071 + 3*t^7.163 + 5*t^7.408 + 7*t^7.531 + 7*t^7.653 + 6*t^7.775 + 2*t^7.868 + 3*t^7.898 + 2*t^8.112 - 4*t^8.235 + t^8.449 + 8*t^8.479 + 4*t^8.602 + 6*t^8.694 + 2*t^8.724 + 5*t^8.939 - t^4.531/y - (2*t^6.888)/y + (2*t^7.469)/y + (3*t^7.592)/y + t^7.714/y + (2*t^8.051)/y + (4*t^8.174)/y + (4*t^8.296)/y + (6*t^8.418)/y + (2*t^8.541)/y + (2*t^8.878)/y - t^4.531*y - 2*t^6.888*y + 2*t^7.469*y + 3*t^7.592*y + t^7.714*y + 2*t^8.051*y + 4*t^8.174*y + 4*t^8.296*y + 6*t^8.418*y + 2*t^8.541*y + 2*t^8.878*y	(g1^7*t^2.235)/g2^5 + (g2^7*t^2.235)/g1^5 + t^2.357/(g1*g2^13) + t^2.357/(g1^13*g2) + g1^12*g2^12*t^2.816 + (2*t^3.061)/(g1^4*g2^4) + t^3.184/(g1^12*g2^12) + (g1^5*t^3.765)/g2^7 + (g2^5*t^3.765)/g1^7 + (g1^22*t^4.347)/g2^2 + g1^10*g2^10*t^4.347 + (g2^22*t^4.347)/g1^2 + (g1^14*t^4.469)/g2^10 + g1^2*g2^2*t^4.469 + (g2^14*t^4.469)/g1^10 + (g1^6*t^4.592)/g2^18 + (2*t^4.592)/(g1^6*g2^6) + (g2^6*t^4.592)/g1^18 + t^4.714/(g1^2*g2^26) + t^4.714/(g1^14*g2^14) + t^4.714/(g1^26*g2^2) + g1^19*g2^7*t^5.051 + g1^7*g2^19*t^5.051 + (g1^11*t^5.174)/g2 + (g2^11*t^5.174)/g1 + (2*g1^3*t^5.296)/g2^9 + (2*g2^3*t^5.296)/g1^9 + (2*t^5.418)/(g1^5*g2^17) + (2*t^5.418)/(g1^17*g2^5) + t^5.541/(g1^13*g2^25) + t^5.541/(g1^25*g2^13) + g1^24*g2^24*t^5.633 + g1^8*g2^8*t^5.878 - t^6. + (g1^4*t^6.122)/g2^20 + (3*t^6.122)/(g1^8*g2^8) + (g2^4*t^6.122)/g1^20 + (2*t^6.245)/(g1^16*g2^16) + t^6.367/(g1^24*g2^24) + (g1^29*t^6.582)/g2^7 + g1^17*g2^5*t^6.582 + g1^5*g2^17*t^6.582 + (g2^29*t^6.582)/g1^7 + (2*g1^21*t^6.704)/g2^15 + (g1^9*t^6.704)/g2^3 + (g2^9*t^6.704)/g1^3 + (2*g2^21*t^6.704)/g1^15 + (g1^13*t^6.826)/g2^23 + (2*g1*t^6.826)/g2^11 + (2*g2*t^6.826)/g1^11 + (g2^13*t^6.826)/g1^23 + (g1^5*t^6.949)/g2^31 + (2*t^6.949)/(g1^7*g2^19) + (2*t^6.949)/(g1^19*g2^7) + (g2^5*t^6.949)/g1^31 + t^7.071/(g1^3*g2^39) + t^7.071/(g1^15*g2^27) + t^7.071/(g1^27*g2^15) + t^7.071/(g1^39*g2^3) + g1^34*g2^10*t^7.163 + g1^22*g2^22*t^7.163 + g1^10*g2^34*t^7.163 + (2*g1^18*t^7.408)/g2^6 + g1^6*g2^6*t^7.408 + (2*g2^18*t^7.408)/g1^6 + (3*g1^10*t^7.531)/g2^14 + t^7.531/(g1^2*g2^2) + (3*g2^10*t^7.531)/g1^14 + (2*g1^2*t^7.653)/g2^22 + (3*t^7.653)/(g1^10*g2^10) + (2*g2^2*t^7.653)/g1^22 + (2*t^7.775)/(g1^6*g2^30) + (2*t^7.775)/(g1^18*g2^18) + (2*t^7.775)/(g1^30*g2^6) + g1^31*g2^19*t^7.868 + g1^19*g2^31*t^7.868 + t^7.898/(g1^14*g2^38) + t^7.898/(g1^26*g2^26) + t^7.898/(g1^38*g2^14) + (g1^27*t^8.112)/g2^9 + (g2^27*t^8.112)/g1^9 - (2*g1^7*t^8.235)/g2^5 - (2*g2^7*t^8.235)/g1^5 + g1^36*g2^36*t^8.449 + (g1^3*t^8.479)/g2^33 + (3*t^8.479)/(g1^9*g2^21) + (3*t^8.479)/(g1^21*g2^9) + (g2^3*t^8.479)/g1^33 + (2*t^8.602)/(g1^17*g2^29) + (2*t^8.602)/(g1^29*g2^17) + (g1^44*t^8.694)/g2^4 + g1^32*g2^8*t^8.694 + 2*g1^20*g2^20*t^8.694 + g1^8*g2^32*t^8.694 + (g2^44*t^8.694)/g1^4 + t^8.724/(g1^25*g2^37) + t^8.724/(g1^37*g2^25) + (g1^36*t^8.816)/g2^12 - 2*g1^12*g2^12*t^8.816 + (g2^36*t^8.816)/g1^12 + (2*g1^28*t^8.939)/g2^20 + (g1^16*t^8.939)/g2^8 - g1^4*g2^4*t^8.939 + (g2^16*t^8.939)/g1^8 + (2*g2^28*t^8.939)/g1^20 - t^4.531/(g1^2*g2^2*y) - t^6.888/(g1^3*g2^15*y) - t^6.888/(g1^15*g2^3*y) + (2*g1^2*g2^2*t^7.469)/y + (g1^6*t^7.592)/(g2^18*y) + t^7.592/(g1^6*g2^6*y) + (g2^6*t^7.592)/(g1^18*y) + t^7.714/(g1^14*g2^14*y) + (g1^19*g2^7*t^8.051)/y + (g1^7*g2^19*t^8.051)/y + (2*g1^11*t^8.174)/(g2*y) + (2*g2^11*t^8.174)/(g1*y) + (2*g1^3*t^8.296)/(g2^9*y) + (2*g2^3*t^8.296)/(g1^9*y) + (3*t^8.418)/(g1^5*g2^17*y) + (3*t^8.418)/(g1^17*g2^5*y) + t^8.541/(g1^13*g2^25*y) + t^8.541/(g1^25*g2^13*y) + (2*g1^8*g2^8*t^8.878)/y - (t^4.531*y)/(g1^2*g2^2) - (t^6.888*y)/(g1^3*g2^15) - (t^6.888*y)/(g1^15*g2^3) + 2*g1^2*g2^2*t^7.469*y + (g1^6*t^7.592*y)/g2^18 + (t^7.592*y)/(g1^6*g2^6) + (g2^6*t^7.592*y)/g1^18 + (t^7.714*y)/(g1^14*g2^14) + g1^19*g2^7*t^8.051*y + g1^7*g2^19*t^8.051*y + (2*g1^11*t^8.174*y)/g2 + (2*g2^11*t^8.174*y)/g1 + (2*g1^3*t^8.296*y)/g2^9 + (2*g2^3*t^8.296*y)/g1^9 + (3*t^8.418*y)/(g1^5*g2^17) + (3*t^8.418*y)/(g1^17*g2^5) + (t^8.541*y)/(g1^13*g2^25) + (t^8.541*y)/(g1^25*g2^13) + 2*g1^8*g2^8*t^8.878*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
3353	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6351	0.8273	0.7677	[M:[0.9627, 1.112, 1.0373, 0.888, 0.8153, 0.8153, 0.888], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]]	2*t^2.222 + 2*t^2.446 + 2*t^2.664 + 2*t^3.112 + 2*t^3.778 + 3*t^4.22 + 3*t^4.444 + 4*t^4.668 + 4*t^4.886 + 3*t^4.892 + 4*t^5.11 + 3*t^5.328 + 4*t^5.334 + 2*t^5.558 + 3*t^5.776 - 2*t^6. - t^4.556/y - t^4.556*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
1808	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6106	0.7847	0.7781	[M:[0.972, 1.0841, 1.028, 0.9159, 0.7842], q:[0.743, 0.285], qb:[0.4729, 0.4431], phi:[0.514]]	t^2.184 + t^2.274 + t^2.352 + t^2.748 + 2*t^3.084 + t^3.252 + t^3.558 + t^3.726 + t^3.816 + t^4.201 + t^4.29 + t^4.369 + t^4.379 + t^4.458 + t^4.537 + t^4.547 + t^4.626 + t^4.705 + t^4.932 + t^5.021 + t^5.1 + 2*t^5.268 + 2*t^5.358 + 2*t^5.437 + t^5.496 + t^5.605 + t^5.743 + 2*t^5.832 + t^5.911 - t^6. - t^4.542/y - t^4.542*y	detail