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
548	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6298	0.8212	0.7669	[M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]]	[M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [7, -5]], 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
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}$	-6	4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. + 2*t^6.188 + 12*t^6.491 + 3*t^6.564 + 16*t^6.679 - 2*t^7.056 + 6*t^7.171 + 15*t^7.359 - 2*t^7.547 + 12*t^7.735 + 4*t^7.85 + 22*t^8.038 - 24*t^8.226 + 4*t^8.415 + 5*t^8.53 + 32*t^8.718 + 8*t^8.791 + 8*t^8.906 - t^4.547/y - (2*t^6.774)/y + t^7.265/y + (5*t^7.453)/y + t^7.641/y - t^7.829/y + (8*t^8.132)/y + (2*t^8.321)/y + (8*t^8.509)/y + (9*t^8.812)/y - t^4.547*y - 2*t^6.774*y + t^7.265*y + 5*t^7.453*y + t^7.641*y - t^7.829*y + 8*t^8.132*y + 2*t^8.321*y + 8*t^8.509*y + 9*t^8.812*y	(2*g1^7*t^2.226)/g2^5 + (2*g2^7*t^2.226)/g1^5 + 2*g1^4*g2^4*t^2.906 + (2*t^3.282)/(g1^12*g2^12) + g1^13*g2*t^3.585 + g1*g2^13*t^3.585 + (g1^22*t^4.265)/g2^2 + g1^10*g2^10*t^4.265 + (g2^22*t^4.265)/g1^2 + (3*g1^14*t^4.453)/g2^10 + 4*g1^2*g2^2*t^4.453 + (3*g2^14*t^4.453)/g1^10 + (4*g1^11*t^5.132)/g2 + (4*g2^11*t^5.132)/g1 + (3*t^5.509)/(g1^5*g2^17) + (3*t^5.509)/(g1^17*g2^5) + (2*g1^20*t^5.812)/g2^4 + 6*g1^8*g2^8*t^5.812 + (2*g2^20*t^5.812)/g1^4 - 4*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + (2*t^6.188)/(g1^8*g2^8) + (2*g1^29*t^6.491)/g2^7 + 4*g1^17*g2^5*t^6.491 + 4*g1^5*g2^17*t^6.491 + (2*g2^29*t^6.491)/g1^7 + (3*t^6.564)/(g1^24*g2^24) + (4*g1^21*t^6.679)/g2^15 + (4*g1^9*t^6.679)/g2^3 + (4*g2^9*t^6.679)/g1^3 + (4*g2^21*t^6.679)/g1^15 - t^7.056/(g1^7*g2^19) - t^7.056/(g1^19*g2^7) + 2*g1^26*g2^2*t^7.171 + 2*g1^14*g2^14*t^7.171 + 2*g1^2*g2^26*t^7.171 + (5*g1^18*t^7.359)/g2^6 + 5*g1^6*g2^6*t^7.359 + (5*g2^18*t^7.359)/g1^6 - (2*t^7.547)/(g1^2*g2^2) + (4*g1^2*t^7.735)/g2^22 + (4*t^7.735)/(g1^10*g2^10) + (4*g2^2*t^7.735)/g1^22 + (g1^35*t^7.85)/g2 + g1^23*g2^11*t^7.85 + g1^11*g2^23*t^7.85 + (g2^35*t^7.85)/g1 + (3*g1^27*t^8.038)/g2^9 + 8*g1^15*g2^3*t^8.038 + 8*g1^3*g2^15*t^8.038 + (3*g2^27*t^8.038)/g1^9 - (2*g1^19*t^8.226)/g2^17 - (10*g1^7*t^8.226)/g2^5 - (10*g2^7*t^8.226)/g1^5 - (2*g2^19*t^8.226)/g1^17 + (2*t^8.415)/(g1*g2^13) + (2*t^8.415)/(g1^13*g2) + (g1^44*t^8.53)/g2^4 + g1^32*g2^8*t^8.53 + g1^20*g2^20*t^8.53 + g1^8*g2^32*t^8.53 + (g2^44*t^8.53)/g1^4 + 7*g1^24*t^8.718 + (3*g1^36*t^8.718)/g2^12 + 12*g1^12*g2^12*t^8.718 + 7*g2^24*t^8.718 + (3*g2^36*t^8.718)/g1^12 + (4*t^8.791)/(g1^17*g2^29) + (4*t^8.791)/(g1^29*g2^17) + (5*g1^28*t^8.906)/g2^20 + (2*g1^16*t^8.906)/g2^8 - 6*g1^4*g2^4*t^8.906 + (2*g2^16*t^8.906)/g1^8 + (5*g2^28*t^8.906)/g1^20 - t^4.547/(g1^2*g2^2*y) - (g1^5*t^6.774)/(g2^7*y) - (g2^5*t^6.774)/(g1^7*y) + (g1^10*g2^10*t^7.265)/y + (g1^14*t^7.453)/(g2^10*y) + (3*g1^2*g2^2*t^7.453)/y + (g2^14*t^7.453)/(g1^10*y) + t^7.641/(g1^6*g2^6*y) - t^7.829/(g1^14*g2^14*y) + (4*g1^11*t^8.132)/(g2*y) + (4*g2^11*t^8.132)/(g1*y) + (g1^3*t^8.321)/(g2^9*y) + (g2^3*t^8.321)/(g1^9*y) + (4*t^8.509)/(g1^5*g2^17*y) + (4*t^8.509)/(g1^17*g2^5*y) + (2*g1^20*t^8.812)/(g2^4*y) + (5*g1^8*g2^8*t^8.812)/y + (2*g2^20*t^8.812)/(g1^4*y) - (t^4.547*y)/(g1^2*g2^2) - (g1^5*t^6.774*y)/g2^7 - (g2^5*t^6.774*y)/g1^7 + g1^10*g2^10*t^7.265*y + (g1^14*t^7.453*y)/g2^10 + 3*g1^2*g2^2*t^7.453*y + (g2^14*t^7.453*y)/g1^10 + (t^7.641*y)/(g1^6*g2^6) - (t^7.829*y)/(g1^14*g2^14) + (4*g1^11*t^8.132*y)/g2 + (4*g2^11*t^8.132*y)/g1 + (g1^3*t^8.321*y)/g2^9 + (g2^3*t^8.321*y)/g1^9 + (4*t^8.509*y)/(g1^5*g2^17) + (4*t^8.509*y)/(g1^17*g2^5) + (2*g1^20*t^8.812*y)/g2^4 + 5*g1^8*g2^8*t^8.812*y + (2*g2^20*t^8.812*y)/g1^4

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
1907	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6468	0.851	0.76	[M:[0.9767, 1.07, 0.9767, 0.7324, 0.7559, 0.7791], q:[0.7442, 0.2792], qb:[0.4768, 0.4533], phi:[0.5117]]	2*t^2.197 + 2*t^2.268 + t^2.337 + 2*t^2.93 + 2*t^3.21 + t^3.592 + t^4.255 + t^4.325 + 3*t^4.395 + t^4.396 + 4*t^4.465 + 2*t^4.534 + 3*t^4.536 + 2*t^4.605 + t^4.674 + 4*t^5.127 + 4*t^5.198 + 2*t^5.267 + 3*t^5.407 + 3*t^5.478 + 2*t^5.547 + 2*t^5.79 + 4*t^5.86 - 4*t^6. - t^4.535/y - t^4.535*y	detail
1906	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6282	0.8185	0.7675	[M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]]	2*t^2.166 + 2*t^2.3 + 2*t^2.933 + 2*t^3.202 + t^3.565 + t^3.7 + t^4.197 + 4*t^4.332 + 5*t^4.466 + 3*t^4.601 + 4*t^5.099 + 4*t^5.233 + 3*t^5.368 + 3*t^5.502 + 2*t^5.731 + 5*t^5.865 - 2*t^6. - t^4.534/y - t^4.534*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
346	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6106	0.7864	0.7765	[M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]]	2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y	detail