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
55307	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7439	0.9365	0.7943	[M:[0.8569, 1.0715, 1.0, 0.7854, 0.9386, 0.9183, 0.6687], q:[0.4949, 0.6481], qb:[0.4336, 0.5664], phi:[0.4642]]	[M:[[-4, -4], [2, 2], [0, 0], [-6, -6], [2, -10], [-6, 6], [1, 13]], q:[[-2, 4], [6, 0]], qb:[[0, -6], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$	${}$	-2	t^2.006 + t^2.356 + t^2.571 + t^2.755 + t^2.785 + t^2.816 + t^3. + t^3.215 + t^4.012 + t^4.178 + 2*t^4.362 + t^4.393 + 2*t^4.577 + t^4.638 + t^4.712 + t^4.761 + 2*t^4.791 + 2*t^4.822 + t^4.927 + t^5.006 + t^5.036 + t^5.111 + 2*t^5.142 + t^5.172 + t^5.221 + t^5.282 + t^5.326 + t^5.356 + t^5.387 + t^5.51 + 4*t^5.571 + t^5.632 + t^5.785 + t^5.969 - 2*t^6. + t^6.018 + t^6.031 - t^6.245 + 2*t^6.368 - t^6.46 + t^6.534 + 2*t^6.583 + 2*t^6.718 + t^6.749 + t^6.767 + 2*t^6.797 + 2*t^6.828 + 3*t^6.933 + 2*t^6.964 + t^6.994 + t^7.012 + t^7.042 + t^7.069 + 2*t^7.117 + 5*t^7.148 + 3*t^7.178 + t^7.227 + t^7.283 + t^7.288 + 2*t^7.332 + 3*t^7.362 + 3*t^7.393 + t^7.454 + t^7.467 + 2*t^7.498 + t^7.516 + t^7.528 + t^7.546 + 5*t^7.577 + t^7.607 + 2*t^7.638 + t^7.682 + 2*t^7.712 + t^7.743 + 2*t^7.791 - t^7.822 + t^7.852 + t^7.866 + t^7.897 + 4*t^7.927 + t^7.958 + t^7.975 + t^7.988 - 3*t^8.006 + t^8.024 + t^8.036 + t^8.081 + t^8.098 + 3*t^8.142 - t^8.172 + t^8.203 - t^8.221 - t^8.251 + t^8.265 + 2*t^8.326 - t^8.356 + 2*t^8.374 + 2*t^8.387 + t^8.448 - 2*t^8.466 + t^8.54 - 3*t^8.571 + 2*t^8.589 - t^8.601 + 4*t^8.724 - 3*t^8.755 + t^8.773 - t^8.785 + 2*t^8.803 - 5*t^8.816 + 2*t^8.834 + t^8.846 + t^8.891 + 3*t^8.939 - t^4.393/y - t^6.399/y - t^6.749/y - t^6.964/y - t^7.148/y - t^7.209/y + t^7.362/y + (2*t^7.577)/y + t^7.638/y + t^7.761/y + t^7.791/y + (2*t^7.822)/y + t^7.927/y + t^8.006/y + t^8.036/y + t^8.111/y + t^8.142/y + t^8.172/y + t^8.221/y + t^8.326/y + (2*t^8.356)/y + (2*t^8.387)/y - t^8.405/y + t^8.54/y + (3*t^8.571)/y + t^8.601/y + (2*t^8.785)/y + t^8.816/y - t^4.393*y - t^6.399*y - t^6.749*y - t^6.964*y - t^7.148*y - t^7.209*y + t^7.362*y + 2*t^7.577*y + t^7.638*y + t^7.761*y + t^7.791*y + 2*t^7.822*y + t^7.927*y + t^8.006*y + t^8.036*y + t^8.111*y + t^8.142*y + t^8.172*y + t^8.221*y + t^8.326*y + 2*t^8.356*y + 2*t^8.387*y - t^8.405*y + t^8.54*y + 3*t^8.571*y + t^8.601*y + 2*t^8.785*y + t^8.816*y	g1*g2^13*t^2.006 + t^2.356/(g1^6*g2^6) + t^2.571/(g1^4*g2^4) + (g2^6*t^2.755)/g1^6 + t^2.785/(g1^2*g2^2) + (g1^2*t^2.816)/g2^10 + t^3. + g1^2*g2^2*t^3.215 + g1^2*g2^26*t^4.012 + t^4.178/(g1^3*g2^3) + (2*g2^7*t^4.362)/g1^5 + t^4.393/(g1*g2) + (2*g2^9*t^4.577)/g1^3 + (g1^5*t^4.638)/g2^7 + t^4.712/(g1^12*g2^12) + (g2^19*t^4.761)/g1^5 + (2*g2^11*t^4.791)/g1 + 2*g1^3*g2^3*t^4.822 + t^4.927/(g1^10*g2^10) + g1*g2^13*t^5.006 + g1^5*g2^5*t^5.036 + t^5.111/g1^12 + (2*t^5.142)/(g1^8*g2^8) + t^5.172/(g1^4*g2^16) + g1^3*g2^15*t^5.221 + (g1^11*t^5.282)/g2 + (g2^2*t^5.326)/g1^10 + t^5.356/(g1^6*g2^6) + t^5.387/(g1^2*g2^14) + (g2^12*t^5.51)/g1^12 + (4*t^5.571)/(g1^4*g2^4) + (g1^4*t^5.632)/g2^20 + t^5.785/(g1^2*g2^2) + (g2^8*t^5.969)/g1^4 - 2*t^6. + g1^3*g2^39*t^6.018 + (g1^4*t^6.031)/g2^8 - (g1^6*t^6.245)/g2^6 + (2*g2^20*t^6.368)/g1^4 - (g1^8*t^6.46)/g2^4 + t^6.534/(g1^9*g2^9) + (2*g2^22*t^6.583)/g1^2 + (2*g2*t^6.718)/g1^11 + t^6.749/(g1^7*g2^7) + (g2^32*t^6.767)/g1^4 + 2*g2^24*t^6.797 + 2*g1^4*g2^16*t^6.828 + (3*g2^3*t^6.933)/g1^9 + (2*t^6.964)/(g1^5*g2^5) + t^6.994/(g1*g2^13) + g1^2*g2^26*t^7.012 + g1^6*g2^18*t^7.042 + t^7.069/(g1^18*g2^18) + (2*g2^13*t^7.117)/g1^11 + (5*g2^5*t^7.148)/g1^7 + (3*t^7.178)/(g1^3*g2^3) + g1^4*g2^28*t^7.227 + t^7.283/(g1^16*g2^16) + g1^12*g2^12*t^7.288 + (2*g2^15*t^7.332)/g1^9 + (3*g2^7*t^7.362)/g1^5 + (3*t^7.393)/(g1*g2) + (g1^7*t^7.454)/g2^17 + t^7.467/(g1^18*g2^6) + (2*t^7.498)/(g1^14*g2^14) + (g2^25*t^7.516)/g1^11 + t^7.528/(g1^10*g2^22) + (g2^17*t^7.546)/g1^7 + (5*g2^9*t^7.577)/g1^3 + g1*g2*t^7.607 + (2*g1^5*t^7.638)/g2^7 + t^7.682/(g1^16*g2^4) + (2*t^7.712)/(g1^12*g2^12) + t^7.743/(g1^8*g2^20) + (2*g2^11*t^7.791)/g1 - g1^3*g2^3*t^7.822 + (g1^7*t^7.852)/g2^5 + (g2^6*t^7.866)/g1^18 + t^7.897/(g1^14*g2^2) + (4*t^7.927)/(g1^10*g2^10) + t^7.958/(g1^6*g2^18) + (g2^21*t^7.975)/g1^3 + t^7.988/(g1^2*g2^26) - 3*g1*g2^13*t^8.006 + g1^4*g2^52*t^8.024 + g1^5*g2^5*t^8.036 + (g2^8*t^8.081)/g1^16 + (g1^13*t^8.098)/g2^11 + (3*t^8.142)/(g1^8*g2^8) - t^8.172/(g1^4*g2^16) + t^8.203/g2^24 - g1^3*g2^15*t^8.221 - g1^7*g2^7*t^8.251 + (g2^18*t^8.265)/g1^18 + (2*g2^2*t^8.326)/g1^10 - t^8.356/(g1^6*g2^6) + (2*g2^33*t^8.374)/g1^3 + (2*t^8.387)/(g1^2*g2^14) + (g1^6*t^8.448)/g2^30 - 2*g1^9*g2^9*t^8.466 + (g2^4*t^8.54)/g1^8 - (3*t^8.571)/(g1^4*g2^4) + (2*g2^35*t^8.589)/g1 - t^8.601/g2^12 + (4*g2^14*t^8.724)/g1^10 - (3*g2^6*t^8.755)/g1^6 + (g2^45*t^8.773)/g1^3 - t^8.785/(g1^2*g2^2) + 2*g1*g2^37*t^8.803 - (5*g1^2*t^8.816)/g2^10 + 2*g1^5*g2^29*t^8.834 + (g1^6*t^8.846)/g2^18 + t^8.891/(g1^15*g2^15) + (3*g2^16*t^8.939)/g1^8 - t^4.393/(g1*g2*y) - (g2^12*t^6.399)/y - t^6.749/(g1^7*g2^7*y) - t^6.964/(g1^5*g2^5*y) - (g2^5*t^7.148)/(g1^7*y) - (g1*t^7.209)/(g2^11*y) + (g2^7*t^7.362)/(g1^5*y) + (2*g2^9*t^7.577)/(g1^3*y) + (g1^5*t^7.638)/(g2^7*y) + (g2^19*t^7.761)/(g1^5*y) + (g2^11*t^7.791)/(g1*y) + (2*g1^3*g2^3*t^7.822)/y + t^7.927/(g1^10*g2^10*y) + (g1*g2^13*t^8.006)/y + (g1^5*g2^5*t^8.036)/y + t^8.111/(g1^12*y) + t^8.142/(g1^8*g2^8*y) + t^8.172/(g1^4*g2^16*y) + (g1^3*g2^15*t^8.221)/y + (g2^2*t^8.326)/(g1^10*y) + (2*t^8.356)/(g1^6*g2^6*y) + (2*t^8.387)/(g1^2*g2^14*y) - (g1*g2^25*t^8.405)/y + (g2^4*t^8.54)/(g1^8*y) + (3*t^8.571)/(g1^4*g2^4*y) + t^8.601/(g2^12*y) + (2*t^8.785)/(g1^2*g2^2*y) + (g1^2*t^8.816)/(g2^10*y) - (t^4.393*y)/(g1*g2) - g2^12*t^6.399*y - (t^6.749*y)/(g1^7*g2^7) - (t^6.964*y)/(g1^5*g2^5) - (g2^5*t^7.148*y)/g1^7 - (g1*t^7.209*y)/g2^11 + (g2^7*t^7.362*y)/g1^5 + (2*g2^9*t^7.577*y)/g1^3 + (g1^5*t^7.638*y)/g2^7 + (g2^19*t^7.761*y)/g1^5 + (g2^11*t^7.791*y)/g1 + 2*g1^3*g2^3*t^7.822*y + (t^7.927*y)/(g1^10*g2^10) + g1*g2^13*t^8.006*y + g1^5*g2^5*t^8.036*y + (t^8.111*y)/g1^12 + (t^8.142*y)/(g1^8*g2^8) + (t^8.172*y)/(g1^4*g2^16) + g1^3*g2^15*t^8.221*y + (g2^2*t^8.326*y)/g1^10 + (2*t^8.356*y)/(g1^6*g2^6) + (2*t^8.387*y)/(g1^2*g2^14) - g1*g2^25*t^8.405*y + (g2^4*t^8.54*y)/g1^8 + (3*t^8.571*y)/(g1^4*g2^4) + (t^8.601*y)/g2^12 + (2*t^8.785*y)/(g1^2*g2^2) + (g1^2*t^8.816*y)/g2^10

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
56970	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}X_{1}$	0.687	0.8548	0.8037	[X:[1.3684], M:[0.7544, 1.1228, 1.0, 0.6316, 0.807, 0.9474, 0.8772], q:[0.5351, 0.7105], qb:[0.3421, 0.6579], phi:[0.4386]]	t^2.263 + t^2.421 + 2*t^2.632 + t^2.842 + t^3. + t^3.368 + t^3.947 + t^4.105 + t^4.316 + t^4.474 + 2*t^4.526 + t^4.684 + t^4.842 + 2*t^4.895 + 2*t^5.053 + t^5.106 + 6*t^5.263 + t^5.421 + t^5.474 + t^5.579 + 2*t^5.632 + t^5.685 + t^5.789 - t^6. - t^4.316/y - t^4.316*y	detail
56969	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$	0.6959	0.8757	0.7947	[M:[0.8558, 1.0721, 1.0, 0.7836, 0.732, 1.1238, 0.8762], q:[0.598, 0.5463], qb:[0.3299, 0.6701], phi:[0.4639]]	t^2.196 + t^2.351 + t^2.567 + t^2.629 + t^2.784 + t^3. + t^3.216 + t^3.371 + t^4.02 + t^4.175 + 2*t^4.392 + t^4.547 + t^4.67 + t^4.702 + t^4.763 + 2*t^4.825 + t^4.918 + 2*t^4.98 + t^5.041 + 2*t^5.135 + 2*t^5.196 + t^5.257 + t^5.351 + 3*t^5.412 + 4*t^5.567 + t^5.722 + t^5.784 + t^5.939 - t^6. - t^4.392/y - t^4.392*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
47060	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.7231	0.895	0.8079	[M:[0.8566, 1.0717, 1.0, 0.7848, 0.9379, 0.9187], q:[0.4952, 0.6482], qb:[0.4331, 0.5669], phi:[0.4641]]	t^2.354 + t^2.57 + t^2.756 + t^2.785 + t^2.814 + t^3. + t^3.215 + t^3.991 + t^4.177 + t^4.364 + t^4.392 + t^4.579 + t^4.636 + t^4.709 + t^4.794 + t^4.823 + t^4.924 + t^5.038 + t^5.111 + 2*t^5.139 + t^5.168 + t^5.282 + t^5.326 + t^5.354 + t^5.383 + t^5.512 + 4*t^5.57 + t^5.627 + t^5.785 + t^5.971 - 2*t^6. - t^4.392/y - t^4.392*y	detail