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
369	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$	0.7466	0.9183	0.813	[M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]]	[M:[[-4, 1, 0], [0, -1, -4], [-4, -1, 0], [0, 1, -4], [0, 0, 0]], q:[[4, 0, 0], [0, -1, 0]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-7	5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. + t^6.494 + 11*t^6.76 + 16*t^7.253 + 35*t^7.519 + 8*t^7.747 + t^7.974 - 2*t^8.013 - 5*t^8.24 - 30*t^8.506 - 3*t^8.734 - t^4.253/y - (5*t^6.76)/y + (5*t^7.747)/y + (10*t^8.013)/y + (5*t^8.506)/y - t^4.253*y - 5*t^6.76*y + 5*t^7.747*y + 10*t^8.013*y + 5*t^8.506*y	t^2.506/(g1^4*g2) + (g2*t^2.506)/g1^4 + t^2.506/(g2*g3^4) + (g2*t^2.506)/g3^4 + t^2.506/(g1^2*g3^2) + t^3. + g1^4*g3^4*t^3.987 + t^4.253/(g1*g3) + t^4.253/(g1*g2^2*g3) + (g2^2*t^4.253)/(g1*g3) + (g1^3*t^4.747)/(g2*g3) + (g1^3*g2*t^4.747)/g3 + (g3^3*t^4.747)/(g1*g2) + (g2*g3^3*t^4.747)/g1 + t^5.013/g1^8 + t^5.013/(g1^8*g2^2) + (g2^2*t^5.013)/g1^8 + t^5.013/g3^8 + t^5.013/(g2^2*g3^8) + (g2^2*t^5.013)/g3^8 + t^5.013/(g1^2*g2*g3^6) + (g2*t^5.013)/(g1^2*g3^6) + (3*t^5.013)/(g1^4*g3^4) + t^5.013/(g1^4*g2^2*g3^4) + (g2^2*t^5.013)/(g1^4*g3^4) + t^5.013/(g1^6*g2*g3^2) + (g2*t^5.013)/(g1^6*g3^2) + (g1^7*t^5.24)/g3 + g1^3*g3^3*t^5.24 + (g3^7*t^5.24)/g1 + t^5.506/(g1^2*g3^2) - 3*t^6. - t^6./g2^2 - g2^2*t^6. - (g1^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 + g1^2*g3^2*t^6.494 + t^6.76/(g1*g2^3*g3^5) + t^6.76/(g1*g2*g3^5) + (g2*t^6.76)/(g1*g3^5) + (g2^3*t^6.76)/(g1*g3^5) + t^6.76/(g1^3*g3^3) + t^6.76/(g1^3*g2^2*g3^3) + (g2^2*t^6.76)/(g1^3*g3^3) + t^6.76/(g1^5*g2^3*g3) + t^6.76/(g1^5*g2*g3) + (g2*t^6.76)/(g1^5*g3) + (g2^3*t^6.76)/(g1^5*g3) + (g1^3*t^7.253)/g3^5 + (g1^3*t^7.253)/(g2^2*g3^5) + (g1^3*g2^2*t^7.253)/g3^5 + (g1*t^7.253)/(g2*g3^3) + (g1*g2*t^7.253)/g3^3 + (2*t^7.253)/(g1*g3) + (2*t^7.253)/(g1*g2^2*g3) + (2*g2^2*t^7.253)/(g1*g3) + (g3*t^7.253)/(g1^3*g2) + (g2*g3*t^7.253)/g1^3 + (g3^3*t^7.253)/g1^5 + (g3^3*t^7.253)/(g1^5*g2^2) + (g2^2*g3^3*t^7.253)/g1^5 + t^7.519/(g1^12*g2^3) + t^7.519/(g1^12*g2) + (g2*t^7.519)/g1^12 + (g2^3*t^7.519)/g1^12 + t^7.519/(g2^3*g3^12) + t^7.519/(g2*g3^12) + (g2*t^7.519)/g3^12 + (g2^3*t^7.519)/g3^12 + t^7.519/(g1^2*g3^10) + t^7.519/(g1^2*g2^2*g3^10) + (g2^2*t^7.519)/(g1^2*g3^10) + t^7.519/(g1^4*g2^3*g3^8) + (3*t^7.519)/(g1^4*g2*g3^8) + (3*g2*t^7.519)/(g1^4*g3^8) + (g2^3*t^7.519)/(g1^4*g3^8) + (3*t^7.519)/(g1^6*g3^6) + t^7.519/(g1^6*g2^2*g3^6) + (g2^2*t^7.519)/(g1^6*g3^6) + t^7.519/(g1^8*g2^3*g3^4) + (3*t^7.519)/(g1^8*g2*g3^4) + (3*g2*t^7.519)/(g1^8*g3^4) + (g2^3*t^7.519)/(g1^8*g3^4) + t^7.519/(g1^10*g3^2) + t^7.519/(g1^10*g2^2*g3^2) + (g2^2*t^7.519)/(g1^10*g3^2) + (g1^7*t^7.747)/(g2*g3^5) + (g1^7*g2*t^7.747)/g3^5 + (g1^5*t^7.747)/g3^3 + (g1^3*t^7.747)/(g2*g3) + (g1^3*g2*t^7.747)/g3 - (g1*g3*t^7.747)/g2^2 - g1*g2^2*g3*t^7.747 + (g3^3*t^7.747)/(g1*g2) + (g2*g3^3*t^7.747)/g1 + (g3^5*t^7.747)/g1^3 + (g3^7*t^7.747)/(g1^5*g2) + (g2*g3^7*t^7.747)/g1^5 + g1^8*g3^8*t^7.974 - t^8.013/(g1^4*g2^2*g3^4) - (g2^2*t^8.013)/(g1^4*g3^4) - (g1^5*g3*t^8.24)/g2 - g1^5*g2*g3*t^8.24 - g1^3*g3^3*t^8.24 - (g1*g3^5*t^8.24)/g2 - g1*g2*g3^5*t^8.24 - t^8.506/(g1^4*g2^3) - (5*t^8.506)/(g1^4*g2) - (5*g2*t^8.506)/g1^4 - (g2^3*t^8.506)/g1^4 - (g1^4*t^8.506)/(g2*g3^8) - (g1^4*g2*t^8.506)/g3^8 - (g1^2*t^8.506)/g3^6 - t^8.506/(g2^3*g3^4) - (5*t^8.506)/(g2*g3^4) - (5*g2*t^8.506)/g3^4 - (g2^3*t^8.506)/g3^4 - (2*t^8.506)/(g1^2*g3^2) + t^8.506/(g1^2*g2^4*g3^2) + (g2^4*t^8.506)/(g1^2*g3^2) - (g3^2*t^8.506)/g1^6 - (g3^4*t^8.506)/(g1^8*g2) - (g2*g3^4*t^8.506)/g1^8 - g1^9*g3*t^8.734 - g1^5*g3^5*t^8.734 - g1*g3^9*t^8.734 - t^4.253/(g1*g3*y) - t^6.76/(g1*g2*g3^5*y) - (g2*t^6.76)/(g1*g3^5*y) - t^6.76/(g1^3*g3^3*y) - t^6.76/(g1^5*g2*g3*y) - (g2*t^6.76)/(g1^5*g3*y) + (g1^3*t^7.747)/(g2*g3*y) + (g1^3*g2*t^7.747)/(g3*y) + (g1*g3*t^7.747)/y + (g3^3*t^7.747)/(g1*g2*y) + (g2*g3^3*t^7.747)/(g1*y) + t^8.013/(g1^8*y) + t^8.013/(g3^8*y) + t^8.013/(g1^2*g2*g3^6*y) + (g2*t^8.013)/(g1^2*g3^6*y) + (2*t^8.013)/(g1^4*g3^4*y) + t^8.013/(g1^4*g2^2*g3^4*y) + (g2^2*t^8.013)/(g1^4*g3^4*y) + t^8.013/(g1^6*g2*g3^2*y) + (g2*t^8.013)/(g1^6*g3^2*y) + t^8.506/(g1^4*g2*y) + (g2*t^8.506)/(g1^4*y) + t^8.506/(g2*g3^4*y) + (g2*t^8.506)/(g3^4*y) + t^8.506/(g1^2*g3^2*y) - (t^4.253*y)/(g1*g3) - (t^6.76*y)/(g1*g2*g3^5) - (g2*t^6.76*y)/(g1*g3^5) - (t^6.76*y)/(g1^3*g3^3) - (t^6.76*y)/(g1^5*g2*g3) - (g2*t^6.76*y)/(g1^5*g3) + (g1^3*t^7.747*y)/(g2*g3) + (g1^3*g2*t^7.747*y)/g3 + g1*g3*t^7.747*y + (g3^3*t^7.747*y)/(g1*g2) + (g2*g3^3*t^7.747*y)/g1 + (t^8.013*y)/g1^8 + (t^8.013*y)/g3^8 + (t^8.013*y)/(g1^2*g2*g3^6) + (g2*t^8.013*y)/(g1^2*g3^6) + (2*t^8.013*y)/(g1^4*g3^4) + (t^8.013*y)/(g1^4*g2^2*g3^4) + (g2^2*t^8.013*y)/(g1^4*g3^4) + (t^8.013*y)/(g1^6*g2*g3^2) + (g2*t^8.013*y)/(g1^6*g3^2) + (t^8.506*y)/(g1^4*g2) + (g2*t^8.506*y)/g1^4 + (t^8.506*y)/(g2*g3^4) + (g2*t^8.506*y)/g3^4 + (t^8.506*y)/(g1^2*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
593	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$	0.7215	0.8862	0.8142	[M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]]	2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. - t^4.365/y - t^4.365*y	detail
594	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.7114	0.8732	0.8147	[M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]]	t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. - t^4.412/y - t^4.412*y	detail
588	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$	0.7293	0.896	0.8139	[M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]]	t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y	detail
590	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$	0.7194	0.8833	0.8145	[M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]]	2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y	detail
595	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7674	0.9598	0.7995	[M:[0.8347, 0.8347, 0.8347, 0.8347, 1.0, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]]	t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. - t^4.252/y - t^4.252*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
230	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.791	0.9858	0.8024	[M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.604, 0.6314], qb:[0.6314, 0.604], phi:[0.3823]]	t^2.211 + 5*t^2.294 + t^3.624 + t^4.423 + 5*t^4.505 + 15*t^4.588 + 3*t^4.771 + 4*t^4.853 + 3*t^4.936 + t^5.835 + t^5.918 - 8*t^6. - t^4.147/y - t^4.147*y	detail