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
46368	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6584	0.8708	0.7561	[M:[0.9566, 0.8334, 0.8184, 0.8699, 0.7317], q:[0.7392, 0.3042], qb:[0.4274, 0.4424], phi:[0.5217]]	[M:[[4, 4], [-13, -1], [-1, -13], [12, 12], [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
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	${}$	-2	2*t^2.195 + t^2.24 + t^2.455 + t^2.5 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.76 + t^4.13 + t^4.175 + t^4.22 + 3*t^4.39 + 2*t^4.435 + t^4.48 + 2*t^4.65 + 3*t^4.695 + t^4.74 + 4*t^4.805 + 2*t^4.85 + t^4.91 + t^4.955 + t^5. + 4*t^5.065 + 3*t^5.11 + 3*t^5.219 + 3*t^5.325 + 2*t^5.37 + 2*t^5.479 + 2*t^5.74 + t^5.955 - 2*t^6. - t^6.045 + t^6.215 + 2*t^6.325 + 3*t^6.37 + t^6.415 + t^6.46 + 5*t^6.585 + 4*t^6.63 + 2*t^6.675 + 2*t^6.72 + 2*t^6.739 + 2*t^6.784 + 2*t^6.829 + 3*t^6.845 + 4*t^6.89 + t^6.935 + t^6.98 + 6*t^7. + 4*t^7.045 + 2*t^7.09 + 2*t^7.105 + 2*t^7.15 + 2*t^7.195 + t^7.24 + 7*t^7.26 + 6*t^7.305 + 3*t^7.35 + t^7.366 + t^7.411 + 6*t^7.414 + t^7.456 + 3*t^7.459 + t^7.501 + 6*t^7.52 + 3*t^7.565 + 2*t^7.61 + 6*t^7.674 + 4*t^7.719 + t^7.78 + t^7.825 + 4*t^7.829 + t^7.87 + t^7.89 + 4*t^7.935 + 2*t^7.98 - t^8.086 + 3*t^8.089 + t^8.15 - 5*t^8.195 - 4*t^8.24 + t^8.259 - t^8.285 + t^8.304 + 4*t^8.349 + t^8.394 + t^8.41 + t^8.439 - 4*t^8.455 - 5*t^8.5 + 3*t^8.52 - t^8.545 + 3*t^8.565 - 4*t^8.61 - t^8.655 + t^8.671 + t^8.7 - t^8.715 - t^8.76 + 7*t^8.78 + 6*t^8.825 - 3*t^8.87 + t^8.915 + 4*t^8.934 + 2*t^8.96 + 5*t^8.979 - t^4.565/y - t^6.76/y - t^7.02/y - t^7.065/y - t^7.175/y + t^7.39/y + (2*t^7.435)/y + (2*t^7.65)/y + (3*t^7.695)/y + t^7.74/y + (4*t^7.805)/y + (2*t^7.85)/y + (2*t^7.955)/y + (5*t^8.065)/y + (4*t^8.11)/y + t^8.219/y + (3*t^8.325)/y + (3*t^8.37)/y + (2*t^8.479)/y + t^8.585/y + t^8.63/y + (2*t^8.74)/y + t^8.955/y - t^4.565*y - t^6.76*y - t^7.02*y - t^7.065*y - t^7.175*y + t^7.39*y + 2*t^7.435*y + 2*t^7.65*y + 3*t^7.695*y + t^7.74*y + 4*t^7.805*y + 2*t^7.85*y + 2*t^7.955*y + 5*t^8.065*y + 4*t^8.11*y + t^8.219*y + 3*t^8.325*y + 3*t^8.37*y + 2*t^8.479*y + t^8.585*y + t^8.63*y + 2*t^8.74*y + t^8.955*y	(2*g1^7*t^2.195)/g2^5 + (g2^7*t^2.24)/g1^5 + t^2.455/(g1*g2^13) + t^2.5/(g1^13*g2) + 2*g1^12*g2^12*t^2.61 + g1^4*g2^4*t^2.87 + t^3.13/(g1^4*g2^4) + (g1^5*t^3.76)/g2^7 + (g1^22*t^4.13)/g2^2 + g1^10*g2^10*t^4.175 + (g2^22*t^4.22)/g1^2 + (3*g1^14*t^4.39)/g2^10 + 2*g1^2*g2^2*t^4.435 + (g2^14*t^4.48)/g1^10 + (2*g1^6*t^4.65)/g2^18 + (3*t^4.695)/(g1^6*g2^6) + (g2^6*t^4.74)/g1^18 + 4*g1^19*g2^7*t^4.805 + 2*g1^7*g2^19*t^4.85 + t^4.91/(g1^2*g2^26) + t^4.955/(g1^14*g2^14) + t^5./(g1^26*g2^2) + (4*g1^11*t^5.065)/g2 + (3*g2^11*t^5.11)/g1 + 3*g1^24*g2^24*t^5.219 + (3*g1^3*t^5.325)/g2^9 + (2*g2^3*t^5.37)/g1^9 + 2*g1^16*g2^16*t^5.479 + 2*g1^8*g2^8*t^5.74 + (g1^12*t^5.955)/g2^12 - 2*t^6. - (g2^12*t^6.045)/g1^12 + (g1^4*t^6.215)/g2^20 + (2*g1^29*t^6.325)/g2^7 + 3*g1^17*g2^5*t^6.37 + g1^5*g2^17*t^6.415 + (g2^29*t^6.46)/g1^7 + (5*g1^21*t^6.585)/g2^15 + (4*g1^9*t^6.63)/g2^3 + (2*g2^9*t^6.675)/g1^3 + (2*g2^21*t^6.72)/g1^15 + 2*g1^34*g2^10*t^6.739 + 2*g1^22*g2^22*t^6.784 + 2*g1^10*g2^34*t^6.829 + (3*g1^13*t^6.845)/g2^23 + (4*g1*t^6.89)/g2^11 + (g2*t^6.935)/g1^11 + (g2^13*t^6.98)/g1^23 + 6*g1^26*g2^2*t^7. + 4*g1^14*g2^14*t^7.045 + 2*g1^2*g2^26*t^7.09 + (2*g1^5*t^7.105)/g2^31 + (2*t^7.15)/(g1^7*g2^19) + (2*t^7.195)/(g1^19*g2^7) + (g2^5*t^7.24)/g1^31 + (7*g1^18*t^7.26)/g2^6 + 6*g1^6*g2^6*t^7.305 + (3*g2^18*t^7.35)/g1^6 + t^7.366/(g1^3*g2^39) + t^7.411/(g1^15*g2^27) + 6*g1^31*g2^19*t^7.414 + t^7.456/(g1^27*g2^15) + 3*g1^19*g2^31*t^7.459 + t^7.501/(g1^39*g2^3) + (6*g1^10*t^7.52)/g2^14 + (3*t^7.565)/(g1^2*g2^2) + (2*g2^10*t^7.61)/g1^14 + 6*g1^23*g2^11*t^7.674 + 4*g1^11*g2^23*t^7.719 + (g1^2*t^7.78)/g2^22 + t^7.825/(g1^10*g2^10) + 4*g1^36*g2^36*t^7.829 + (g2^2*t^7.87)/g1^22 + (g1^27*t^7.89)/g2^9 + 4*g1^15*g2^3*t^7.935 + 2*g1^3*g2^15*t^7.98 - t^8.086/(g1^18*g2^18) + 3*g1^28*g2^28*t^8.089 + (g1^19*t^8.15)/g2^17 - (5*g1^7*t^8.195)/g2^5 - (4*g2^7*t^8.24)/g1^5 + (g1^44*t^8.259)/g2^4 - (g2^19*t^8.285)/g1^17 + g1^32*g2^8*t^8.304 + 4*g1^20*g2^20*t^8.349 + g1^8*g2^32*t^8.394 + (g1^11*t^8.41)/g2^25 + (g2^44*t^8.439)/g1^4 - (4*t^8.455)/(g1*g2^13) - (5*t^8.5)/(g1^13*g2) + (3*g1^36*t^8.52)/g2^12 - (g2^11*t^8.545)/g1^25 + 3*g1^24*t^8.565 - 4*g1^12*g2^12*t^8.61 - g2^24*t^8.655 + (g1^3*t^8.671)/g2^33 + (g2^36*t^8.7)/g1^12 - t^8.715/(g1^9*g2^21) - t^8.76/(g1^21*g2^9) + (7*g1^28*t^8.78)/g2^20 + (6*g1^16*t^8.825)/g2^8 - 3*g1^4*g2^4*t^8.87 + (g2^16*t^8.915)/g1^8 + 4*g1^41*g2^5*t^8.934 + (2*g2^28*t^8.96)/g1^20 + 5*g1^29*g2^17*t^8.979 - t^4.565/(g1^2*g2^2*y) - (g1^5*t^6.76)/(g2^7*y) - t^7.02/(g1^3*g2^15*y) - t^7.065/(g1^15*g2^3*y) - (g1^10*g2^10*t^7.175)/y + (g1^14*t^7.39)/(g2^10*y) + (2*g1^2*g2^2*t^7.435)/y + (2*g1^6*t^7.65)/(g2^18*y) + (3*t^7.695)/(g1^6*g2^6*y) + (g2^6*t^7.74)/(g1^18*y) + (4*g1^19*g2^7*t^7.805)/y + (2*g1^7*g2^19*t^7.85)/y + (2*t^7.955)/(g1^14*g2^14*y) + (5*g1^11*t^8.065)/(g2*y) + (4*g2^11*t^8.11)/(g1*y) + (g1^24*g2^24*t^8.219)/y + (3*g1^3*t^8.325)/(g2^9*y) + (3*g2^3*t^8.37)/(g1^9*y) + (2*g1^16*g2^16*t^8.479)/y + t^8.585/(g1^5*g2^17*y) + t^8.63/(g1^17*g2^5*y) + (2*g1^8*g2^8*t^8.74)/y + (g1^12*t^8.955)/(g2^12*y) - (t^4.565*y)/(g1^2*g2^2) - (g1^5*t^6.76*y)/g2^7 - (t^7.02*y)/(g1^3*g2^15) - (t^7.065*y)/(g1^15*g2^3) - g1^10*g2^10*t^7.175*y + (g1^14*t^7.39*y)/g2^10 + 2*g1^2*g2^2*t^7.435*y + (2*g1^6*t^7.65*y)/g2^18 + (3*t^7.695*y)/(g1^6*g2^6) + (g2^6*t^7.74*y)/g1^18 + 4*g1^19*g2^7*t^7.805*y + 2*g1^7*g2^19*t^7.85*y + (2*t^7.955*y)/(g1^14*g2^14) + (5*g1^11*t^8.065*y)/g2 + (4*g2^11*t^8.11*y)/g1 + g1^24*g2^24*t^8.219*y + (3*g1^3*t^8.325*y)/g2^9 + (3*g2^3*t^8.37*y)/g1^9 + 2*g1^16*g2^16*t^8.479*y + (t^8.585*y)/(g1^5*g2^17) + (t^8.63*y)/(g1^17*g2^5) + 2*g1^8*g2^8*t^8.74*y + (g1^12*t^8.955*y)/g2^12

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
47257	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6583	0.8702	0.7564	[M:[0.9566, 0.826, 0.826, 0.8697, 0.7391], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]]	3*t^2.217 + 2*t^2.478 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 6*t^4.695 + 6*t^4.827 + 3*t^4.956 + 7*t^5.087 + 3*t^5.218 + 5*t^5.348 + 2*t^5.479 + 2*t^5.739 - 2*t^6. - t^4.565/y - t^4.565*y	detail
47074	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	0.6778	0.9061	0.748	[M:[0.956, 0.827, 0.827, 0.8681, 0.739, 0.739], q:[0.739, 0.305], qb:[0.434, 0.434], phi:[0.522]]	4*t^2.217 + 2*t^2.481 + 2*t^2.604 + t^2.868 + t^3.132 + 3*t^4.17 + 10*t^4.434 + 8*t^4.698 + 8*t^4.821 + 3*t^4.962 + 8*t^5.085 + 3*t^5.208 + 6*t^5.349 + 2*t^5.472 + 2*t^5.736 - 5*t^6. - t^4.566/y - t^4.566*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
46303	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6388	0.8344	0.7656	[M:[0.9571, 0.8251, 0.8251, 0.8713], q:[0.7393, 0.3036], qb:[0.4357, 0.4357], phi:[0.5214]]	2*t^2.218 + 2*t^2.475 + 2*t^2.614 + t^2.871 + t^3.129 + 2*t^3.782 + 3*t^4.178 + 3*t^4.436 + 4*t^4.693 + 4*t^4.832 + 3*t^4.95 + 6*t^5.089 + 3*t^5.228 + 4*t^5.347 + 2*t^5.485 + 2*t^5.743 - t^6. - t^4.564/y - t^4.564*y	detail